Answers
Answer:
(16)
Given the statement: Elmwood st. and oak Dr. are the same distance.
All intersection are perpendicular.
To prove that: Peach Dr. tree is the same distance as Sycamore Ln.
It given that all the intersection are perpendicular which means each interior angles are of [tex]90^{\circ}[/tex]
By rectangle properties:
Each of the interior angles are [tex]90^{\circ}[/tex]The opposite sides of the rectangle are equalThe diagonal of a rectangles bisects each other.Since, Elmwood st. and oak Dr. are the same distance.
then, by rectangle properties;
Peach Dr. tree is the same distance as Sycamore Ln proved!
6.10
(11)
Given: [tex]\angle A \cong \angle T[/tex] , [tex]\overline{MA} \cong \overline{HT}[/tex]
To prove: [tex]\triangle MAX \cong \triangle HTX[/tex]
In ΔMAX and ΔHTX
[tex]\angle A \cong \angle T[/tex] [Angle] [Given]
[tex]\overline{MA} \cong \overline{HT}[/tex] [Side] [Given]
Vertical angle theorem states that angles that are opposite each other.
Since, these angles are formed when two lines cross each other.
And also vertical angles are congruent to each other.
Since, [tex]\angle MXA[/tex] , [tex]\angle HXT[/tex] are vertical angles
[tex]\angle MXA \cong \angle HXT[/tex] [Vertical angles are congruent]
AAS (Angle-Angle-Side) theorem states that if two angles and a non-included side in one triangle are congruent to two corresponding angles and a non-included side in another triangle, then those triangles are congruent.
Then, by AAS theorem,
[tex]\triangle MAX \cong \triangle HTX[/tex]
(14)
Given: [tex]\overline{AX} \cong \overline{TX}[/tex] , [tex]\angle A \cong \angle T[/tex]
Prove that: [tex]\overline{MX} \cong \overline{HX}[/tex]
In [tex]\triangle MXA[/tex] and [tex]\triangle HXT[/tex]
[tex]\overline{AX} \cong \overline{TX}[/tex] [Side] [Given]
[tex]\angle A \cong \angle T[/tex] [Angle] [Given]
[tex]\angle MXA \cong \angle HXT[/tex] [Vertical angles are congruent]
ASA (Angle -Side-Angle) theorem states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then these triangles are congruent.
then by ASA theorem;
[tex]\triangle MAX \cong \triangle HTX[/tex]
CPCT [Corresponding Part of Congruent triangles are congruent.]
⇒[tex]\overline{MX} \cong \overline{HX}[/tex] [By CPCT] proved!
Related Questions
A student bought a truck with a down payment of 4000 and monthly payments of $250 for four years. What was the total cost of the truck
Answers
Down Payment plus the price per month, multiplied by the years. The total cost should be $16000.
*Help ASAP Please! Studying for finals and I'm stuck on this question!*
5. Find the measure, to the nearest tenth, of the diagonal of a rectangle with dimensions 14 cm by 6 cm.
A) 16.3 cm
B) 12.6 cm
C) 15.2 cm
D) 4.5 cm
Answers
Answer: C
Step-by-step explanation:
A rectangle has 90° angles. So, the diagonal cuts the rectangle into two right triangles where the length (base) and the width (side) are the legs of the right triangle and the diagonal is the hypotenuse. Thus, the Pythagorean Theorem can be used: (leg a)² + (leg b)² = (hypotenuse)²
14² + 6² = hypotenuse²
196 + 36 = hypotenuse²
232 = hypotenuse²
√232 = √hypotenuse²
15.23 = hypotenuse
Jenna bought a bike for $200. The value of the bike decreases by 5% each year. Write an equation to model the situation.
Answers
This is an exponential function. Since each year the value of the bike decreases by 5%, each year, the value of the bike is 100%-5%=95% of it's original value. So after x years, the value of the bike would be 200(0.95)^x.
Answer:
(200 - (200 x 5 / 100))^Y
Step-by-step explanation:
As the initial value of the bike is $200, that would be a fixed number in our equation. Each year, this will lose 5% of its value, therefore, it would be another fixed value in it. Then, we have to exponentiate it by the number of years that have passed since the initial value (Y). As a result, the equation to model the situation would be this one:
(200 - (200 x 5 / 100))^Y
In the figure below, if BE is the perpendicular bisector of AD , what is the value of x?
Answers
Answer:
x = 10Step-by-step explanation:
Since BE is perpendicular bisector AE=EDSubstituting we have:3x + 5 = x + 25 solving for x x = 10Jenna has some chocolate tat she wants to give to her friends. She wants to give 1/5 of a pound of chocolate to each friend. If jenna has 7pounds of chocolate, to how many friends can she give chocolate
Answers
25 friends because 7*5=35
Find the fifth roots of 243(cos 260° + i sin 260°).
Answers
Answer:
z1=3 cos (52 + i sin 52)
z2 =3 cos (124 + i sin 124)
z3 = 3 cos (196 + i sin 196)
z4 =3 cos (268 + i sin 268)
z5= 3 cos (340 + i sin 340)
Step-by-step explanation:
To find the fifth roots of 243 (cos 260° + i sin 260°).
z ^ 1/5 = r^1/5 ( cis ( theta + 360 *k)/5) where k=0,1,2,3,4
So the first root of 243 (cos 260° + i sin 260°)
is z1 = 243^1/5 ( cis ( 260 + 360 *0)/5)
3 cis ( 260/5)
= 3 cis (52)
= 3 cos (52 + i sin 52)
The second root of 243 (cos 260° + i sin 260°)
is z2 = 243^1/5 ( cis ( 260 + 360 *1)/5)
3 cis ( 620/5)
= 3 cis (124)
= 3 cos (124 + i sin 124)
The third root of 243 (cos 260° + i sin 260°)
is z3 = 243^1/5 ( cis ( 260 + 360 *2)/5)
3 cis ( 980/5)
= 3 cis (196)
= 3 cos (196 + i sin 196)
The fourth root of 243 (cos 260° + i sin 260°)
is z4 = 243^1/5 ( cis ( 260 + 360 *3)/5)
3 cis ( 1340/5)
= 3 cis (268)
= 3 cos (268 + i sin 268)
The fifth root of 243 (cos 260° + i sin 260°)
is z5 = 243^1/5 ( cis ( 260 + 360 *4)/5)
3 cis ( 1700/5)
= 3 cis (340)
= 3 cos (340 + i sin 340)
Given the position function s(t)=(t^3/3)-(12t^2/2)+36t between t=0 and t=15, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle is moving to the right.
Answers
Answer: [0, 6) ∪ (6, 15]
Step-by-step explanation:
The particle is moving to the right when the velocity is positive.
[tex]s(t)=\dfrac{t^3}{3} -\dfrac{12t^2}{2}+36t[/tex]
v(t) = s'(t)
= t² - 12t + 36
First, find the zeros of v(t): ⇒ v(t) = 0
0 = t² - 12t + 36
= (t - 6)²
0 = t - 6
6 = t
The zero occurs when t = 6
Next, find when v(t) > 0
Choose a test point between 0 and 6:
v(5) = (5 - 6)²
= (-²)
= (+)
Since velocity is positive between 0 and 6, the particle is moving to the right during that interval.
Choose a test point between 6 and 15:
v(7) = (7 - 6)²
= (+)²
= (+)
Since velocity is positive when t > 6, the particle is moving to the right.
How many soccer players that are getting paid around the world are there???
Answer for 15 points! PLZ be correct info!!!
Answers
Give the equation of the line in slope-intercept form that has the slope of 5 and goes through the point (0, -3).
Answers
Answer:
y=-3x+5
-3 is y ntercept
What is the length of cloth needed to make 18 shirts if each shirt is made from 0.8 yards of material?
Answers
Answer:
14.4 yards
Step-by-step explanation:
Each shirt needs 0.8 yards so 18 shirts needs 18 * 0.8 = 14.4 yards of material.
14.4 yards of material will be needed to make 18 shirts.
What is multiplication?Multiplication is when you take one number and add it together a number of times.
Given that, one shirt is of 0.8 yards of material,
18*0.8 = 14.4
Hence, 14.4 yards of material will be needed to make 18 shirts.
For more references on Multiplication, click;
https://brainly.com/question/5992872
#SPJ2
Jon is looking into a $4250 vacation package that is offered for 25% off. There is a 9% resort fee added on to the total. How much will the vacation cost Jon?
Answers
Answer:
3187.59
Step-by-step explanation:
Add 4250 - 25% + 9% and u should have this exact answer
- The one guy who has a F in math
Find the value of x to the nearest tenth.
a. 11.3
b. 12.5
c. 12.9
d. 13.1
Answers
Answer:
B
Step-by-step explanation:
We have perpendicular bisector through a chord of the circle. We know the length, so either side of the chord is 11 due to the bisector cutting it directly in half. Since the radius is a fixed distance from the center to any point on the edge of the circle, we can draw the radius x from the circle to the end of the chord to form a right triangle.
We can use Pythagorean Theorem [tex]a^{2} +b^{2} =c^{2}[/tex] to find the missing side length x. a=6, b=11 and c=x.
[tex](6)^{2} +(11)^{2} =x^{2}[/tex]
[tex]36+121=x^2\\157=x^2\\\sqrt{157}=x\\ 12.5=x[/tex]
What is the domain restriction of this expression?
(m-7)/(4m-20)
Answer:
m ≠ ____.
Answers
Answer:
m ≠5
Step-by-step explanation:
We cannot divide by zero, so the denominator cannot equal zero. That is the only restriction on the domain.
4m-20 ≠ 0
Add 20 to each side
4m-20+20 ≠20
4m ≠20
Divide each side by 4
4m/4 ≠20/4
m ≠5
Answer:
m ≠ 5
——
Step-by-step explanation:
Make the equation equal to zero.
4m - 20 = 0
Solve for the restriction.
4m - 20 = 0
Add 20 to both sides.
4m = 20
Divide both sides by 4.
m = 5
Answer:
m ≠ 5
Function g is transformed to obtain function h as shown.
(x)=4g(x+5)
A.
The graph of h is the graph of g vertically stretched by a factor of 4 and shifted 5 units to the left.
B.
The graph of h is the graph of g vertically shrunk by a factor of 4 and shifted 5 units to the right.
C.
The graph of h is the graph of g vertically stretched by a factor of 4 and shifted 5 units to the right.
D.
The graph of h is the graph of g vertically shrunk by a factor of 4 and shifted 5 units to the left.
Answers
Answer:
A
Step-by-step explanation:
The transformation is [tex]h(x)=4*g(x+5)[/tex].
4*g(x+5) means g(x) is vertically shifted by a factor if 4 by multiplying the entire function by 4. The values increase and are stretched (not shrunk to smaller).g(x+5) means the input x is increased by 5 each time. This results in a horizontal shift left on the graphThe answer is A. The graph of h is the graph of g vertically stretched by a factor of 4 and shifted 5 units to the left.
Answer: A for plato users
As a part of a contest, a store is giving a special prize if a contestant can roll 3 standard six-sided number cubes, and get the same number on each. What is the probability a contestant will be successful?
Answers
Answer: [tex]\bold{\dfrac{1}{36}}[/tex]
Step-by-step explanation:
The first die can be any number: [tex]P = (\dfrac{6}{6}) = 1[/tex]
The second die must match the first die: [tex]P = \dfrac{1}{6}[/tex]
The third die must also match the first die: [tex]P = \dfrac{1}{6}[/tex]
1st die and 2nd die and 3rd die = Probability of success
1 x [tex]\dfrac{1}{6}[/tex] x [tex]\dfrac{1}{6}[/tex] = [tex]\dfrac{1}{36}[/tex]
The commission Gary earns is proportional to the cost of the shoes he sellis. Gary earns $15 in commission for every S150 worth of shoes that he sells. Which equation gives the total commission, C Gary will earn based on the cost, s, of the shoes he sels?
Answers
Answer:
15x + 150
Step-by-step explanation:
A cube has a volume of 1/8. If the cube holds 24 of these sugar cubes, what is the total volume of the box?
Answers
[tex] \frac{1}{8} \div 24 = 3[/tex]
Answer:
the answer is 3 in.3
Step-by-step explanation:
What are examples of self-reliant and how are you self-reliant?
I need to hear from other peers, thank you:)
Answers
Most children have parents. Children are self reliant on parents until age eighteen or even later, because they rely on their parents to cook, maintain the house, pay for their food, etc.
I am self reliant sometimes on my friends because I rely on them to give me the answers for math class or to teach me.
Use the table below to answer this question:
x y
−3 −3
0 3
1 5
Find the average rate of change for the given function from x = −3 to x = 1.
2
−3
−1
−2
Answers
Answer:
2
Step-by-step explanation:
We can find the average rate of change by using the formula
rate of change = (y2-y1) /(x2-x1)
= (5-3)/(1-0)
= 2/1
=2
Answer:
A. 2
Step-by-step explanation:
average rate of change from x1 to x2 is
[f(x2) - f(x1)]/(x2 - x1)
Here we have x1 = -3; f(x1) = -3; x2 = 1; f(x2) = 5
average rate of change from x1 to x2 =
= [f(x2) - f(x1)]/(x2 - x1)
= [5 - (-3)]/(1 - (-3))
= 8/4
= 2
Write 4/9, 5/9, and 6/9 as decimals. What pattern do you see? Use the pattern to predict the decimal form of 7/9 and 8/9
Answers
So the correct answer Is A, but can you explain how you get that answer?
Answers
The first thing to notice is that the smaller triangle on the left is equilateral, because of the same single tickmarks on each of the three sides. For any equilateral triangle, each interior angle is 60 degrees as you have marked it on the drawing.
Once you determine that, you would solve for the 120 degree angle (60+120 = 180). Afterward, solve the equation 120+x+x = 180 to find that x = 30. The equation 120+x+x = 180 refers to adding up the three angles of the smaller triangle on the right side (with angles 120, x, x). The two missing angles are both x due to the fact that this triangle is isosceles.
Answer:
Step-by-step explanation:
Since ∆ABC is equilateral, all of its angles would be the same (60°). Since a line is 180°, the other part of ∠C is 120°. Since we also know that △BCD is isosceles, we know that angles ∠B and ∠D are equal. If a triangle is 180°, and we already know that ∠C is 120°, we can do 180-120, which is 60°. If angles ∠B and ∠D are equal, we can do 60/2=30. Therefore, ∠D is 30°.
Triangle STU is dilated to form new triangle VWX. If angle S is congruent to angle V, what other information will prove that the two triangles are similar? Side ST is congruent to side VW. Angle T is congruent to angle V. Side US is congruent to side XV. Angle U is congruent to angle X.
Answers
Answer:
(D)
Step-by-step explanation:
Two triangles are similar if it satisfies the following properties:
1) Corresponding angles are congruent.
2) Corresponding sides are all in same proportion.
Here, ΔSTU and ΔVWX are given, where ∠S is congruent to ∠V.
To prove these two triangles similar, we need one more corresponding angle to be congruent.
And from all the options, (d) Angle U is congruent to angle X. will help in proving ΔSTU and ΔVWX similar triangles.
Therefore, (d) is correct.
Answer:
d)Angle U is congruent to angle X.
Step-by-step explanation:
On mars,your weigh is about 1/3 of your weigh on earth. If a fifth grader weighs 96 pounds on earth,about how much would they weigh on mars
Answers
Answer:
32
Step-by-step explanation:
You just have to find out whats 1/3 of 96
just divided 96 by 3 to get 32
Joel has 7 pounds of clay. He splits the clay into groups of 1/3 pound. How many groups does he have
Answers
7/1 ÷ 1/3 flip the signs on 1/3
now just multiply across...
7/1 × 3/1
21/1
21
What is m∠C?
Enter your answer in the box.
Answers
Answer:
angle C is 60 degrees
Step-by-step explanation:
First you would solve for X
once you have that plug it in angle C
2(30)=60
Answer:
60°
Step-by-step explanation:
∠B is a right angle and all right angles are 90°, so if ∠B = 3*x then to find x you divid 3 by 90 to get x because 3*x = 90 once you do that you get 30 so x=30 then to find ∠C you just multiply 2 by 30 which gives you 60 which means the measure of ∠C = 60°
hope this helps :D
PLEASE NEED HELP!
:"3
Answers
Answer:
Option 2
Step-by-step explanation:
When completing a proof, the statements and reasons should be directly connected. Since the reason listed next to the missing statement is Def of Complimentary Angles, the statement must be about angles adding to 90 degrees. The definition of Complimentary Angles is that two angles add to 90. This means option 2 is the answer.
Can someone help me with these 2 problems plz
Answers
How many ways can the letters be arranged?
TJKL
A) 10 ways
B) 16 ways
C) 18 ways
D) 24 ways
Answers
The answer is D.
4 x 3 x 2 x 1 = 24 ways
This can be quickly worked out on your calculator using the ' ! ' button after inputting the number of letters/numbers.
You can always check as well, by simply working out every single way.
TJKL - different letters
for the first place you have 4 letters to choose from
for the second place you have 3 letters to choose from
for the third place you have 2 letters to choose from
for the last place you have only one letter
Therefore your answer is:
[tex]\boxed{4}\cdot\boxed{3}\cdot\boxed{2}\cdot\boxed{1}=24\to\boxed{D)}[/tex]
Could someone help I can’t get this one
Answers
Statement Reason
1. AB = CD, AD = CB 1. Given
2. AC = AC 2. Reflexive Property
3. ΔADC ≅ ΔCBA 3. SSS
4. ∠1 = ∠4 4. CPCTC
5. DC || AB 5. Alternate Interior Angles Converse Thm
can someone help me please and thank you
Answers
Find the ratio of the two similar sides that both dimensions are given.
The smaller triangle aide that is 4 units is the similar side of the larger triangle given as 8 units.
8 / 4 =2, this means the larger triangle is 2 times the size of the smaller triangle, which also means the smaller triangle is 1/2 the size of the larger triangle.
X on the smaller triangle is 1/2 11 units which equals 5.5 units.
Y is 2 times 3, which equals 6 units.
x = 5.5
y = 6