Answer:
9
Step-by-step explanation:
Final answer:
To find the value of x in a triangle where one side is x and the other two are each 4 inches less than x with a perimeter of 19 inches, set up an equation and solve it to find that x = 9 inches. The correct option is D.
Explanation:
The question involves finding the value of x when a triangle has one side that measures x, and the other two sides each measure 4 inches less than x. The perimeter of the triangle is given as 19 inches.
To solve this, we use the formula for the perimeter of a triangle, which is the sum of the lengths of its sides. Therefore, the equation can be set up as:
x + (x - 4) + (x - 4) = 19
Simplifying this equation:
Combine like terms: 3x - 8 = 19Add 8 to both sides: 3x = 27Divide both sides by 3: x = 9Therefore, the measure of x is 9 inches which corresponds to option D.
This problem is a basic algebra problem that requires understanding of how to set up equations based on given conditions and solving them to find unknown variables.
When working with the square root of a number, when would you have only a positive answer and when would you have both a positive and negative answer?
A boardwalk that is x feet wide is built around a rectangular pond. The combined area of the pond and the boardwalk is 4x^2+140x+1200 square feet. What are the dimensions of the pool?
a. 100 ft by 60 ft c. 55 ft by 70 ft
b. 30 ft by 40 ft d. 15 ft by 80 ft
...?
Will upvote!
Graph −7y+8=21x−6
Two points that the line would go through is all I need.
Thanks!!
On the cube in the figure above, each of the following points is the same distance from
P as it is from Q
EXCEPT
(A) A (B) B (C) C (D) D (E) E
What is the 8th term in the sequence?
Note: Use the explicit rule.
an=25−3n
Enter your answer in the box.
a8=
Divide. Express your answer in lowest terms
=15/16 + (-3/4)
please tell me how you got your answer after
In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours (h < 7) or after working more than 9 hours (h >9). How can these inequalities be written as one statement?
a. 7 < h < 9
b. 7 > h > 9
c. h < 7 or h > 9
d. h > 7 or h < 9
You are playing a game of Scrabble and have the 5 A tiles, 3 E tiles, 1 Z tile, 2 M tiles, 3 L tiles, and 1 Y tile to choose from. What is the probability that you choose E or Y on your next draw
Answer:
4/15
Step-by-step explanation:
To find the probability we use the mutually exclusive probability formula P(A) + P(B). The probability of picking a E tile is
1
5
and the probability of picking a Y tile is
1
15
. The sum is
4
15
.
Lucia bought a table and some chairs at a furniture store. The equation that models this situation is y = 40x + 55, where y is the amount of money she spent and x is the number of chairs she bought. What does the y-intercept mean in this situation?
A. She paid $40 for each chair.
B. She paid $55 for the table.
C. She paid $40 for the table.
D. She paid $55 for each chair.
Answer: C. She paid $40 for each chair.
Step-by-step explanation:
write y=2x+3 using function notation
Answer:
[tex]f(x) = 2x+3[/tex]
Step-by-step explanation:
The function f(x) is the another way of representing the y-values in the function
i.e
[tex]y=f(x)[/tex]
Then y-axis be labeled with f(x)
Also; the ordered pair is written as: (x, f(x)) instead of (x, y)
Given the equation:
[tex]y = 2x+3[/tex]
replace y = f(x)
then;
[tex]f(x) = 2x+3[/tex]
therefore, the equation y=2x+3 using function notation is, [tex]f(x) = 2x+3[/tex]
What is the solution of the system?
Use the substitution method.
{y+7=3x
{6x−2y=12
A) (14, 12)
B) (12, 14)
C)There is no solution.
D)There are an infinite number of solutions.
In circle A shown below, m arc BC is 61° and m Arc EF is 76°.
What is m∡FDE?
Answer
76°
38°
30.5°
68.5°
Answer:
68.5°
Step-by-step explanation:
Here is the solution:
m<FDE = 1/2( Arc BC + Arc 76)
m<FDE = 1/2 (61° + 76°)
m<FDE = 137/2 = 68.5°
So the answer is 68.5°
5/8 as a decimal and a percent
If the ends of the base of an isosceles triangle are at (2,0) & (0,1) & the eqn of one side is
x=2,
then the orthocentre of the triangle is
a) (3/2, 3/2)
b) (5/4, 1)
c) (3/4, 1)
d) (4/3, 7/12)
...?
Answer:
The orthocenter of the triangle is [tex](\frac{5}{4},1)[/tex] and option b is correct.
Step-by-step explanation:
The ends of the base of an isosceles triangle are at (2,0) & (0,1).
Orthocentre of the triangle is the intersection point of all three altitudes from its vertices.
First find any two altitudes, then find intersection point of altitudes.
The equation of a side is x=2, which is an vertical line. The opposite vertices of this side is (0,1), so the perpendicular line is a horizontal line. The equation of first altitude is
[tex]y=1[/tex] .... (1)
In an isosceles triangle, then attitude is the median of non-equal side. It means the altitude is passing through the midpoint of base side.
[tex]Midpoint=(\frac{2+0}{2},\frac{0+1}{2})=(1,0.5)[/tex]
Slope of base side is
[tex]m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{1-0}{0-2}=-0.5[/tex]
The product of slopes of two perpendicular lines is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]-0.5\times m_2=-1[/tex]
[tex]m_2=2[/tex]
The point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is slope.
The slope of second altitude is 2 and it passing through the pint (1,0.5), therefore the equation of second altitude is
[tex]y-0.5=2(x-1)[/tex]
[tex]y=2x-1.5[/tex] ..... (2)
From equation (1) and (2), we get
[tex]x=\frac{5}{4}[/tex]
[tex]y=1[/tex]
Therefore the orthocenter of the triangle is [tex](\frac{5}{4},1)[/tex] and option b is correct.
If theres 3 apples and you take 2 away, how many do you have?
Given the two points (2,4) and (-3,2), what is the slope of the line that goes through both of these points?
A recipe calls for 6 quarts of water. Michael put 1 gallon of water in the bowl and realized that he made a mistake. Michael should ___.
-Remove 2 cups.
-Add 1 gallon.
-Add 2 quarts.
-Add 2 pints.
-Add 2 quarts. Michael incorrectly used gallons instead of quarts for his recipe. Since 1 gallon equals 4 quarts, he simply needs to add 2 more quarts to the existing gallon to meet the recipe's requirement of 6 quarts.
Explanation:The question involves unit conversion between gallons and quarts. Since the recipe calls for 6 quarts of water and Michael has already put 1 gallon (which is 4 quarts) into the bowl, he needs to add more water to reach the required amount.
A gallon is equivalent to 4 quarts, so Michael should add 2 quarts more to the 4 quarts he already has, totaling the 6 quarts needed for the recipe.
1. Choose the correct solution in roster form.
S is the set of prime numbers that are less than 15.
A.{2,3,5,7,11,13}
B.{2,3,5,7,9,11,13}
C.{1,3,5,7,9,11,13}
D.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
Answer:
A. {2,3,5,7,11,13}
Step-by-step explanation:
Since, prime numbers are the whole numbers which have only two multiple which are 1 and itself.
Thus, the prime numbers are,
2, 3, 5, 7, 11, 13, 17, 19, 23, ..................
Note : 1 is not a prime number because it has only one multiple i.e. 1.
or it does not satisfy the definition of prime number.
Thus, the prime numbers that are less than 15,
2, 3, 5, 7, 11, 13
Which are the elements of the set S,
Hence, S = { 2, 3, 5, 7, 11, 13 }
OPTION A is correct.
slope-intercept form .... slope=.25, x-intercept=24 ...?
Answer:
Step-by-step explanation:
Given : slope=.25, x-intercept=24 ...?
What is the expression in simplest radical form?
√384
Which represents the empirical formula for A3B9?
AB3
AB2
A3B9
A9B27
Answer:
[tex]AB_{3}[/tex]
Step-by-step explanation:
Given : [tex]A_{3}B_{9}[/tex]
To Find : Which represents the empirical formula for[tex]A_{3}B_{9}[/tex]?
Solution:
Definition of Empirical Formula - A formula that gives the simplest whole-number ratio of atoms in a compound.
[tex]A_{3}B_{9}[/tex]
To reduce it in simplest form
Divide the subscript numbers by 3
So, the resultant : [tex]AB_{3}[/tex]
Thus the empirical formula for [tex]A_{3}B_{9}[/tex] :
[tex]AB_{3}[/tex]
what is 4/12 simplest form
What is the inverse of the conditional statement " If a number is divisible by 6, then it is divisible by 3"?
A) If a number is divisible by 3, then it is divisible by 6.
B)If a number is not divisible by 6, then it is not divisible by 3.
C)If a number is not divisible by 3, then it is not divisible by 6.
D)If a number is not divisible by 6, then it is divisible by 3.
...?
Answer: I think its A.
What is the y-intercept of y=1.5x?
Will give brainlyiest answer if explained.
In the figure below, lines g and h are parallel and are cut by transversal j to form the angles shown. If the measure of <8 is 82, what is the measure of <1?
A. 180.
B. 98.
C. 82.
D. 8.
whats 9+10? PLZ HELP !!!!
So if we add 9 slices to pizza, and 10 more...We get...0 because I ate them all
19
What are the x and y intercept of c = 0.75m + 2.25?
Michael breeds chickens and ducks. last month, he sold 50 chickens and 30 ducks for $550. this month, he sold 44 chickens and 36 ducks for $532. how much does a chicken cost, and how much does a duck cost?
What is the gcf for 36, 54 and 135?
Hexagon DEFGHI is translated 8 units down and 3 units to the right. If the coordinates of the pre-image of point F are
(–9, 2), what are the coordinates of F'?
(–17, 5)
(–6, –6)
(–17, –1)
(–12, –6)