Answer:
x = 24.5
Step-by-step explanation:
There are two similar triangles. In similar triangles the sides are in proportion.
Let's name big triangle as triangle 1 and small triangle as triangle 2.
The sides of the big triangle:
27 as base and the longest side (x + 7)
The sides of the small triangle:
base = 27 - 6 = 21
longest side = x
We need to find the value of x using proportion.
27/21 = (x + 7)/ x
By cross multiplying, we get
27(x) = 21(x + 7)
27x = 21x + 147
27x - 21x = 147
6x = 147
Dividing both sides by 6, we get
x = 147/6
x = 24.5
The value of x = 24.5
Hope you will understand the concept.
Thank you.
<span>5x - 3y= -15
3y = 5x + 15
y = 5/3 x + 5
answer
slope m = 5/3
y intercept = 5</span>
Yes, the student's theory is correct, because the survey shows that the seventh graders spend more time playing games on the weekend than the eighth graders.
Answer:
50m²
Explanation:
first, we have to find the length and width of the backyard. since 4cm represents 5m, we know that the real width of the backyard is 5m.
as for the length of the backyard, 8cm is double of 4cm so we can also double 5m to get 10m.
now, we can find the area by taking 5m × 10m = <u>50m²</u>.
i hope this helps! :D
Yes, because it does not matter which order you multiply the factors in; you will always get the same answer.