Answers
Answer:
x = 9 and y = 5
Step-by-step explanation:
From the given figure :
In ΔLNM ,
LN = NM = LM
This shows that all the sides of the triangle are given to be equal.
And the triangle whose all sides are equal is called equilateral triangle and in an equilateral triangle the measure of its each angle is 60°
⇒ ∠L = ∠N = ∠M = 60°
Now, ∠N = 60°
⇒ 7x - 3 = 60
⇒ 7x = 63
⇒ x = 9
Also, ∠M = 60°
⇒ 11y + 5 = 60
⇒ 11y = 55
⇒ y = 5
Answer: x=9
Step-by-step explanation:
i did the test and got it right lol
Related Questions
what is the x for 3kx+24=9kx
Answers
If sin theta = 12/13 and theta is an acute angle find cot theta
Answers
13sq=12sq+xsq
Xsq=169-144
X=5
Cot theta = adj side/opp side= 5/12
Answer:
cot θ = [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
If sin θ = [tex]\frac{12}{13}[/tex] and 'θ' is an acute angle then we have to find the value of cotθ
From the figure attached.
y² + 12² = 13² [ by Pythagoras Theorem ]
y + 144 = 169
y² = 169 - 144 = 25
y = 5
Now cot θ = [tex]\frac{base}{Height}[/tex]
= [tex]\frac{y}{12}[/tex]
= [tex]\frac{5}{12}[/tex]
Therefore, cot θ =[tex]\frac{5}{12}[/tex] is the answer.
Solve the equation−3=8x−4y for y
Answers
-8x -8x
-8x -3 = -4y
/-4 /-4 /-4
2x + 3/4 = y
To solve the equation for y, rearrange the terms and isolate the variable y on one side of the equation.
Explanation:To solve the equation -3 = 8x - 4y for y, we need to isolate the variable y on one side of the equation. First, rearrange the terms:
8x - 4y = -3
Now, move the term with x to the right side by subtracting 8x from both sides:
-4y = -3 - 8x
Finally, divide both sides by -4 to solve for y:
y = (3 + 8x) / 4
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Write a complete two-column proof for following information.
Given: AB = 3y - 1, BC = 7y, AC = 29 Prove: AB = 8
its a normal line and the letters are in order ABC, B is kinda close to A
Answers
AB=3y-1, and BC=7y
Since A, B, and C then AC = AB+BC = (3y-1)+7y = 10y-1
AC is 29 units, so we write the equation:
(AC=) 10y-1 =29
adding 1 to both sides, we have:
10y=30,
dividing both sides by 10:
y=3.
AB = 3y-1, substituting y with 3, we have AB=3*3-1=9-1=8
To prove AB = 8, we substitute the values given and show that the statement is false.
Explanation:To prove: AB = 8
Given: AB = 3y - 1, BC = 7y, AC = 29
Proof:
Since AB = 3y - 1 and AC = 29, we can substitute AC in place of AB in the equation AB = 3y - 1. This gives us 29 = 3y - 1.Simplifying the equation, we get 3y = 30.Dividing both sides of the equation by 3, we find y = 10.Substituting the value of y into AB = 3y - 1, we get AB = 3(10) - 1 = 30 - 1 = 29.Since AB = 29, we can see that AB is not equal to 8. Therefore, the given statement is false.Therefore, we cannot prove that AB = 8.
In this ordered pair (4,-5) which number is the ordinate
Answers
Hope this helped! :) Please mark Brainliest and rate!
In the ordered pair (4, -5), the number -5 is the ordinate, which represents the vertical position of a point in a coordinate system.
In the ordered pair (4,-5), the number -5 is the ordinate. In a coordinate system, ordered pairs are used to define locations with two values: the x-coordinate and the y-coordinate. The first number in the pair represents the x-coordinate, which is the horizontal position, and the second number represents the y-coordinate, which is the vertical position, also known as the ordinate.
In this context, the ordinate is the position relative to the horizontal axis in a two-dimensional space. It indicates how far up or down a point lies from the horizontal (x) axis. Hence, in the ordered pair (4, -5), -5 is the ordinate. If a point is above the x-axis, its ordinate is positive; if it's below, as in this case, it's negative.
In a cross-country race with 35 participants , the mean finish time was 21 minutes . Which statement must be true?
A-the most common finish time was 21 minutes
B-at least one participant finished in exactly 21 minutes.
C-over half of the participants finished in less than 21 minutes.
D-if no participants finished in less than 21 minute, than everyone finished in exactly 21 minutes
Answers
What is the value of the discriminant in the equation shown below? x^2-4x+10=0?
Answers
Answer:
The discriminant would be -24.
Step-by-step explanation:
Calvin bought 20 pencils at $0.45 each. How much change did he get from a $10 bill?
Answers
0.45 x 20 = 9
10 - 9 = 1
What is the equation in slope intercept form of a line with a slope of 1/2 and y intercept of1?
Answers
Our given slope is 1/2 ; y-intercept is 1
So, simply plug everything into the slope-intercept equation :)
y=mx+b
y = (1/2)x + (1)
Simplify.
y = 1/2x + 1
~Hope I helped!~
In the diagram shown below, ∠K=18º and ∠H=18º.
Prove KJ=13.75. Justify your steps in a paragraph proof.
Answers
Since all 3 angles of each triangle are equal, the triangles are similar.
Since the triangles are similar, all 3 sides must be in the same proportion.
8 / 5 = 22 / KJ
(5 * 22) / 8 = KJ
KJ = 13.75
In triangle KIJ, ∠ K=18° (GIVEN), ∠J=112° , then ∠ I = 180-(112+18) = 50°
Since Δ FGH & Δ KJI have all their respective angles EQUAL, then these
2 triangles are SIMILAR and all their respective sides are proportional.
If so we can write the following proportions:
GF/JI = GH/JK
8/5 = 22/JK. Cross multiplication → 8.JK = (5).(22) → 8.JK = 110
And JK = 110/8 → JK = 13.75 (JK or KJ are the same)
A personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has 15 minutes per session of strength-training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. An advanced plan has 20 minutes per session of strength-training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week. Which statement describes when the plans are based on the same number of aerobic exercise sessions?
A. Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week.
B. Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.
C. Each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week.
D. Each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.
Answers
Let n be the number of aerobic and strength-training exercises per week.
Let x be the number of strength-training exercises per week on the beginner
15x + 20n = 90
Let y be the number of strength-training exercises for week on the advanced plan.
20y + 30n = 130
Multiply both sides by 1.5, to get:
22.5x + 30n = 135
Subtracting equation 2 from 3 we get:
22.5x - 20y = 5
Hope this helps:)
what is 4,548 in expanded form ?
Answers
is the correct answer
HELPPPPP PLEASEEEEEE
Answers
so when store sells 64
4^x = 64
4^x = 4^3
x = 3
answer
B. Month 3
The variance represents how the data is distributed around the mean
b. the variance is always equal to the mean squared (μ2)
c. the variance is negative whenever the mean of x is negative
d. the variance is the value of x that is most likely to occur in the data.
Answers
15 points and brainliest -
E’F’G is the image of EFG under a dilation through point C.
What scale factor was used in the dilation?
A. -2
B. - 1/2
C. 1/2
D. 2
Answers
Since the side FG (8cm) is equivalent to F'G' (4cm), 8 was multiplied by 1/2 to get the corresponding side value
Answer:
For anyone else looking for the answer, the answer is actually, B. -1/2 I just did this test and got it right.
The sum of the EXTERIOR angles of a pentagon equals 360°.
True
False
Answers
Answer:
TRUE
Step-by-step explanation:
sum of exterior angles of a pentagon equals 360°
hence,this statement is TRUE
Please help!
Simplify (3/10)(-5/9).
A.) 1/6
B.) -1/6
C.) 77/90
Answers
Name the property the equation illustrates. 8 + 5.3 = 5.3 + 8 Inverse Property of Multiplication Inverse Property of Addition Associative Property of Addition Commutative Property of Addition
Answers
Answer:
The answer is : Commutative Property of Addition
Step-by-step explanation:
The communicative property of addition shows that "a + b = b + a".
The numbers can be written in any order, the result will be same.
The given terms are : 8 + 5.3 = 5.3 + 8
The solution for both are same; 13.3 = 13.3
So, this shows the commutative property of addition.
In a test of the microsort method of gender selection, 51 babies are born to couples trying to have baby boys, and 39 of those babies are boys. if the gender selection method has no effect of boys and girls find the mean and standard deviation for the number of boys born in groups of 51
Answers
In this case, n = 51. Since the gender selection method has no effect of boys and girls, the probability for a boy to be born is .5. So p = .5. Then the mean is
[tex]\mu = 51 \cdot 0.5 = 25.5[/tex]
and the standard deviation is
[tex]\sigma = \sqrt{51(0.5)(1-0.5)} = 3.57 [/tex]
A fighter plane, f, is told to intercept plane x which is 200 miles in front of f flying directly away from f at 500 mph. plane f is told it must intercept x in 6 minutes. how fast should f fly?
Answers
To intercept plane x, which is 200 miles in front and flying away at 500 mph, in 6 minutes, the fighter plane f should fly at 2500 mph.
Explanation:The question deals with the calculation of how fast the fighter plane (plane f) should fly in order to intercept plane x in the given time. This is essentially a problem in the physics concept of relative motion. Plane x is 200 miles away from f and is flying away at a speed of 500 mph. The fighter plane f has 6 minutes (or 0.1 hours) to intercept, which is the time needed to cover the distance between the planes. Recall the formula of velocity, v = d/t. Here, the distance d = 200 miles (distance between the planes), and t = 0.1 hours. Substituting these into the formula, we can calculate the necessary speed for plane f.
Additionally, since plane x is moving away from f at 500 mph, plane f must cover an additional 50 miles (500 mph * 0.1 hours) to intercept x. Therefore, the total distance f must cover is 250 miles (200 miles + 50 miles).
Substituting this into the formula of velocity, we find that f should fly at 2500 mph (250 miles / 0.1 hours) to intercept plane x in the allotted time.
Learn more about Relative Motion here:https://brainly.com/question/36197552
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The fighter plane 'f' needs to fly at a speed of 2500 mph to intercept the escaping plane 'x' that is flying away at a speed of 500 mph and is currently 200 miles away.
Explanation:To solve this problem, we need to work with the concept of relative speed in the context of motion. Plane 'x' travels 500 miles per hour and the fighter plane 'f' needs to intercept Plane x in 6 minutes, which is 1/10th of an hour.
Since Plane x is 200 miles away, in the 1/10th of an hour, Plane x would have travelled an extra 50 miles (500 mph * 1/10), making the total distance Plane f needs to cover 250 miles (200 miles + 50 miles). To cover 250 miles in 1/10th of an hour or 6 minutes, Plane f needs to fly at a speed of 2500 mph (250 miles / 1/10 hr).
Learn more about relative speed here:https://brainly.com/question/14362959
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Find the tax on a dinette set with a cash price of $200 that has been reduced by 20% if the tax rate is 6.5%.
Answers
$200 x 20% = 40
$200 - 40 = 160
$160 x 6.5% = $10.40
Total tax = $10.40
Hope this helps.
Take care,
Diana
The slope of the line passing through the points (0,0) and (2,3) is
Answers
0= x1, 0= y1
2= x2, 3= y2
(3-0)/(2-0)
3/2 is the slope
what are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotensue is 15 units long?
Answers
Given:
m∠A = 19°
c = 15
By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835
cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828
Answer:
The lengths are 4.88, 14.18, and 15.00 (nearest hundredth)
Answer:
For plato users the correct option is D.
Step-by-step explanation:
D. 4.9 units, 14.2 units
The perimeter of the square shown is 4(x+33) meters. What is the value of x if the perimeter is 28 meters
Answers
This because 4x+132 =28
I dont know how your answer is negative though
−3/4(x+2)=6 solve for x
Answers
-4/3*(-3/4)*(x+2) = 6*(-4/3) /-4/3*(-3/4) = 1
x+2 = -24/3 /-24/3 = -8
x+2 =-8 /subtract 2 from both sides
x = -8-2
x = -10
A store sells a floor lamp for 73.99. The store is having a sale that reduces the lamps price by 35%.How much does the lamp cost during sale?
Answers
73.99 * 0.30 = 22.197 = $22.20
73.99 - 22.20 = 51.79
Lamp is $51.79
A rectangular fountain display has a perimeter of 400 feet and an area of at least 9100 feet. describe the possible widths of the fountain
Answers
Find the measure of each indicated angle
Answers
Answer:64
Step-by-step explanation:
36+84+x=180
x=180-120
x=60
right angle 90=x+y=60+y
y=90-60=30
y+86+?=180
30+86+?=180
?=180-116
?=64
a cylinder. With a diameter of 6cm and a height of 10cm. Can you help me work out the volume of this cylinder to 1 decimal place please?
Answers
The formula for the area of a cylinder is:[tex] \pi r^2h[/tex]
Input the information we already know:
[tex] \pi (6/2)^2*10[/tex]
Simplify the expression. Follow PEDMAS.
[tex] =\pi (6/2)^2*10[/tex]
[tex] =\pi (3)^2*10[/tex]
[tex] =\pi (9)*10[/tex]
[tex]=28.2743339*10[/tex]
[tex]=282.743339[/tex]
Round to the tenth decimal place:
[tex]=282.7[/tex]
The area of the cylinder is 282.7 cm³.
Hope this helps.
-Benjamin
Final answer:
The volume of a cylinder with a diameter of 6 cm and a height of 10 cm is 282.8 cm³, calculated using the formula V = πr²h and rounding to one decimal place.
Explanation:
To calculate the volume of a cylinder, we use the formula V = πr²h where V is the volume, r is the radius of the base, and h is the height of the cylinder. In this case, we have a cylinder with a diameter of 6 cm, which means the radius r is half of that, or 3 cm. The height h is 10 cm. So, the volume is calculated by:
V = π × (3 cm)² × 10 cm
Substituting 3.142 for π, we get:
V = 3.142 × 9 cm² × 10 cm
V = 3.142 × 90 cm³
V = 282.78 cm³
Therefore, the volume of the cylinder rounded to one decimal place is 282.8 cm³.
If function f is defined by f x( ) = 3x2 − 5x + 4, what is f x( − 4) ?
Answers
3x2= 6
-5(-4)= 20
6-20= -14
-14+4= -10
f(-4) = -10