The value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2
<h3>How to solve the variables?</h3>
<u>(1) y/3 + 6 = -3/2</u>
Multiply through by 3
y + 18 = -9/2
Subtract 18 from both sides
y = -18 - 9/2
Take LCM
y = (-18 * 2 - 9)/2
Evaluate
y = -45/2
<u>(2) -2r/3 - 3 = 3</u>
Multiply through by 3
-2r - 9 = 9
Add 9 to both sides
-2r = 18
Divide by 2
r = -9
<u>(3) 2/3 - 2x = x</u>
Multiply through by 3
2 - 6x = 3x
Add 6x to both sides
2 = 9x
Divide by 9
x = 2/9
<u>(4) 7x/2 + -5/2 = 9/2</u>
Multiply through by 2
7x - 5 = 9
Add 5 to both sides
7x = 14
Divide by 7
x = 2
Hence, the value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2
Read more about fractions at:
brainly.com/question/11562149
#SPJ1
Answer:
3
Step-by-step explanation:
<u>1) Find two corresponding lengths between the image and the pre-image</u>
Pre-image (bottom side) = 3 units
Image (bottom side) = 9 units
We can use any corresponding lengths for this step.
<u>2) Divide the length of the side from the image by the length of the side from the pre-image</u>
9 units ÷ 3 units
= 3
Therefore, the scale factor of the dilation is 3.
I hope this helps!
Hello :
-3-(-6) =0-(-3)=3-0=6-3=3 ( arhtmitic sequence r= 3)
Un = U1+(n-1)r
U70 = -6+(70-1)(3)=201
sum = n/2 (U1 +U70)
sum = 70/2(-6+201) = 6825
Answer:
Perimeters is 32.44 unit and area is 30 square unit.
Answer:
A figure that has 3 triangular faces that combine to form a point
Step-by-step explanation:
If we think about the form in our head or draw it out on paper, we can see that the model is of a pyramid, or in other words, a triangular prism.