Find AD.
B
A
13x – 4
D
8x + 11
Answer:
Step-by-step explanation:
13x-4 = 8x+11
13x-4 = 8x+11
-8x -8x
5x-4=11
+4 +4
5x=15
/5 /5
x=3
Plug it in...
13(3) -4
39-4
=35
The value of AD is: AD = 35.
Here, we have,
from the given figure, we get,
both the triangles are similar to each other.
so, we have,
AD = DC
i.e.
13x-4 = 8x+11
To solve the equation 13x - 4 = 8x + 11, we need to isolate the variable x on one side of the equation.
Here are the steps:
Start by moving the terms with x to one side of the equation.
We can do this by subtracting 8x from both sides:
13x - 8x - 4 = 8x - 8x + 11
Simplifying the left side:
5x - 4 = 11
Next, move the constant term (-4) to the other side by adding 4 to both sides of the equation:
5x - 4 + 4 = 11 + 4
Simplifying:
5x = 15
To isolate x, divide both sides of the equation by the coefficient of x, which is 5:
(5x)/5 = 15/5
Simplifying:
x = 3
Therefore, the solution to the equation 13x - 4 = 8x + 11 is x = 3.
so, we get, x = 3
Plug it in AD, we have,
13(3) -4
=39-4
=35
Hence, The value of AD is: AD = 35.
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Diana is painting statues. She has 7/8 of a liter of paint remaining. Each statue requires 1/20 of a liter of paint. How many statues can she paint?
Answer:
She can paint 17 statues
Step-by-step explanation:
Sorry I don’t really know how to show my work
Answer:
140/8
simplified: 35/2
decimal: 17.5
Step-by-step explanation:
honestly, I don't know how to show my work but I hope this helps.
A parallelogram has vertices at A (-2 , 7), B (4 , 5), C (4 , -2), and D (-2 , 0). If the parallelogram is reflected over the x-axis, where will point A’ be located?
a (-7,2)
b (-2,7)
c (2,-7)
d (-2,-7)
Answer:
d. (- 2 , -7)
Step-by-step explanation:
When A( -2 , 7) is reflected over the x-axis A' will be located at ( -2 , -7)
Hope it will help ☺
A dice is rolled once What is the probability of NOT a 4? Your answer should be a fraction in simplest from
Calculate the rate of change
Answer:
10
Step-by-step explanation:
rate of change can also be found as rise/run
rise: 50 run: 5
50/5=10
Answer
10
rate of change can also be found as rise/run
rise: 50 run: 5
50/5=10Step-
x - 4= 7
options-
x + 8=0
x-11=0
x+11=0
x-8=0
Answer:
x+11=0 is answer
Step-by-step explanation:
may be this is helpful!
Rewrite -2(9t-3)-10t in simplest forms
same points yall
5+4x x=8
Answer:
37
Step-by-step explanation:
5+(4x)
5+(4×8)
5+32
Nate purchased 12 gallons of gasoline for $15.00. What was the unit rate?
Answer:
I think it might be 1.25
Step-by-step explanation:
I need help please ASAP please please show ur work
Answer:
x=14
Step-by-step explanation:
1 way
Step 1: Subtract 3/4x from both sides.
1/4x − 5 − 3/4x=3/4x−12−3/4x
−1/2x−5=−12
Step 2: Add 5 to both sides.
−1/2x−5+5=−12+5
−1/2x=−7
Step 3: Multiply both sides by 2/(-1).
(2/−1)*(−1/2x)=(2/−1)*(−7)
2nd way
Add 5 to both sides
1/4x - 5+5 = 3/4x - 12+5
Simplify
1/4x = 3/4x -7
Subtract 3/4x from both sides
1/4x-3/4x= 3/4x-7-3/4x
Simplify
-1/2x=-7
Multiply both sides by -2
(-1/2x)(-2)=(-7)(-2)
x=14
sorry it to so long
the second picture is not acceptable
Answer:
x=3 1/2 or 3.5
Step-by-step explanation:
i think this is right aaaa sorry i did it really weirdly
[tex]solve \: this[/tex]
.....................
Answer:
3 inches
Step-by-step explanation:
If we're gonna have some sort of increase each year, it's gonna pop up in our model attached to a variable, because it represents some kind of change, and variables can change. Looking at our equation, the 28.6 represents our starting point: the boy is 28.6 inches tall when he's 2 years old. The 3a term, then, represents the boy's increasing height each year. When he's 3 years old, a = 1, and so h = 3 + 28.6 = 31.6 inches. When he's 4, a = 2, and h = 3 + 31.6 = 34.6. The increase is always 3 inches.
The table below shows the cost for different numbers of tickets.
Based on the information in the table, which of the following statements is true?
Answer:
D
Step-by-step explanation: It's not going up by 6 or 2, and it's not going down in numbers, so D
7(3-x)=-7(x+3)-4 one solution, no solution or infinite solutions
Answer:
No solution
Step-by-step explanation:
(7)(3)+(7)(−x)=(−7)(x)+(−7)(3)+-4
21+−7x=−7x+−21+−4
−7x+21=(−7x)+(−21+−4)
−7x+21=−7x+−25
−7x+21=−7x−25
−7x+21+7x=−7x−25+7x
21=−25
21−21=−25−21
0=−46
Which figure has exactly 5 lines of reflection that map the figure onto itself?
Answer:
pentagon
Step-by-step explanation:
what is the value of sin(a)
Answer:
i think 45
Step-by-step explanation:
Asked yourself what was wrong and how you would
Mrs girl burns 236 calories riding her bike each hour she wants to burn 590 calories riding her bike what ineqality reperesents the number of hours she must ride her bike
Answer:
Step-by-step explanation:
Amount of calories per hour whkie riding = 236
Amount of calories she intends to burn = 590
The number of hours she must ride her bike :
Let number of hours = x
Hence,
(Calories burned per hour * number of hours) ≥ 590
(236 * x) ≥ 590
x ≥ 590 / 236
x ≥ 2.5
Hence she must rise her bike for 2.5 hours
Tom promised that for every 4 hours that he played video games, he would solve 16 math problems. Going by his promise, which of the following statements is correct?
A.
He would solve 32 math problems if he played video games for 9 hours.
B.
He would solve 30 math problems if he played video games for 8 hours.
C.
He would solve 32 math problems if he played video games for 8 hours.
D.
He would solve 48 math problems if he played video games for 9 hours.
Answer:
A
Step-by-step explanation:
because of the gravity of thw earth
Answer:
C. He would solve 32 math problems if he played video games for 8 hours.
Step-by-step explanation:
Create the following proportion to find the number of math problems for 8 hours:
4/16 = 8/x
Cross multiply.
4 x x = 4x
16 x 8 = 128
4x = 128
x = 32
If Tom plays video games for 8 hours, he'll solve 32 math problems.
Create the following proportion to find the number of math problems in 9 hours:
4/16 = 9/x
Cross multiply.
4 x x = 4x
16 x 9 = 144
4x = 144
x = 36
If Tom plays video games for 9 hours, he'll solve 36 math problems.
Helpppp!!! Write an equation of the line through (2, 3) and (-1, -12) in slope intercept form y=mx+b? Show work
How many cups of lemonade please?
Let g(x) vertical shift of f(x)=-x up 3 units followed by a vertical stretch by a factor of 4. Write the rule for g(x).
Given:
g(x) vertical shift of [tex]f(x)=-x[/tex] up 3 units followed by a vertical stretch by a factor of 4.
To find:
The rule for g(x).
Solution:
We have,
[tex]f(x)=-x[/tex]
This function shifts 3 units up. So,
[tex]f(x)+3=-x+3[/tex]
This function vertical stretch by a factor of 4. So,
[tex]g(x)=4(f(x)+3)[/tex]
[tex]g(x)=4(-x+3)[/tex]
[tex]g(x)=-4x+12[/tex]
Therefore, the rule for g(x) is [tex]g(x)=-4x+12[/tex].
John works 40hrs a week getting paid $13.00 per hour. He gets paid weekly and gets taxed 22%. How much is his weekly check?
What if john had 5 Kids and only got taxed 3% how much would his weekly check be?
Answer:
$405.60
Step-by-step explanation:
40x13=520
520x.22= 114.4
520-114.4=405.60
Solve the system:
x + y = 19
y = 3x - 1
Solve for x :
0.4 ( 2 – 4) +0.6x = 1.4
A. x = 2
В.x = 5.4
c.x = -0.2
D.x = 3
A professor wants to divide the remaining 3/4 of the semester evenly into six different units. What fraction of the semester should be spent on each unit?
Answer:
Each of these courses will take up 1/8 of the total semester.
Step-by-step explanation:
From the question, we can see that the semester is remaining 3/4 of the total duration.
we will be sharing that 3/4 into 6 places for each course. Next, we will be relating this to the total time we had for the whole semester initially.
3/4 divided by 6 = 1/8
From this, we can see that each of these courses will take up 1/8 of the total semester.
Can you help me answer this question please
Answer:
look up how is it porportinal it will tell you
Step-by-step explanation:
Answer:
yeah
Step-by-step explanation:
25 divided by 5 = 5
45 divided by 5= 9
so 25/45 = 5/9
5x3=15
9x3=27
so 5/9=15/27
Can someone help me please ill give brainy
Answer:
f(x)=(x-3<1 is a slope: 0 and the y-int is (0,1)
f(x)=-5>4 is a slope: 0 and the y-int is (0,4)
hope this helps!!:)
Step-by-step explanation:
Find the volume of a rectangular prism that has a height of 5 meters and the area of the base is 8cm squared
Answer:
Volume of prism = 4000 cm cubed
Step-by-step explanation:
Given that:
Height of rectangular prism = 5 meters
Converting into centimeters as the area of base is in centimeters.
1 meter = 100 centimeter
5 meters = 500 cm
Area of the base = 8 cm squared
Volume of prism = Area of base * Height
Volume of prism = 8 * 500
Volume of prism = 4000 cm cubed
Hence,
Volume of prism = 4000 cm cubed
The side lengths 10, 14, and 15 form a triangle. Explain why.
Answer:
Therefore, the side lengths 10, 14, and 15 form a triangle.
Step-by-step explanation:
The Triangle Inequality Theorem defines that if we are given the three sides of a triangle, then the sum of any 2 sides of a triangle must be greater than the measure of the third side of the triangle.
The three conditions that need to be met for any triangle with the side lengths A, B, and C.
[tex]A + B > C[/tex]
[tex]B + C > A[/tex]
[tex]A + C > B[/tex]
Given the side lengths of a triangle
101415Let us check whether it satisfies the three conditions.
10+15 > 14 → TRUE
10+14 > 15 → TRUE
14+15 > 10 → TRUE
As all the conditions are met. Therefore, the side lengths 10, 14, and 15 form a triangle.
Carmen needs to drive 16 miles to work. So far, she has driven 2.9 miles. How many more miles must she drive?
Answer:
13.1 miles
Step-by-step explanation:
she needs 16 miles total
she has driven 2.9
so
16 - 2.9 = 13.1
Answer:
13.1 miles
Step-by-step explanation:
You would need to subtract 2.9 from 16 to get 13.1
What is 36% of 250?
Answer:
90
Step-by-step explanation:
0.36*250 = 90
