Answer:
x = 96
Step-by-step explanation:
Since GI is a midsegment then it is one half the measure of JK, that is
JK = 2GI, that is
x - 42 = 2(x - 69) ← distribute
x - 42 = 2x - 138 ( subtract x from both sides )
- 42 = x - 138 ( add 138 to both sides )
96 = x
Let l and w be the length and width of the rectangle. We are given the proportion 2l=4w, which implies l=2w.
The perimeter of a rectangle is given by 2(l+w). We know that the perimeter is 80, and we can plug l=2w to get
![2(l+w)=80 \iff 2(2w+w)=80 \iff 3w=40 \iff w=\dfrac{40}{3}](https://tex.z-dn.net/?f=2%28l%2Bw%29%3D80%20%5Ciff%202%282w%2Bw%29%3D80%20%5Ciff%203w%3D40%20%5Ciff%20w%3D%5Cdfrac%7B40%7D%7B3%7D)
Which, in turn, implies that
![l=2w=\dfrac{80}{3}](https://tex.z-dn.net/?f=l%3D2w%3D%5Cdfrac%7B80%7D%7B3%7D)
The answer would be 100x38! You just have to add what’s in the parentheses!
Hope this helps please give brainliest❤️
Step-by-step explanation:
8÷2(2+2) = <u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>8</u><u>. </u><u> </u><u> </u><u> </u><u> </u>
2(2 + 2)
= <u> </u><u> </u><u> </u><u> </u><u> </u><u>8</u><u>. </u><u> </u><u> </u><u> </u>
4 + 4
= <u> </u><u> </u><u>8</u><u>. </u>
8
= 1
Answer:
38 miles
Step-by-step explanation:
Given,
The speed of Doreen = 9 miles per hour,
Since,
![Speed = \frac{Distance}{Time}\implies Distance = Speed\times Time](https://tex.z-dn.net/?f=Speed%20%3D%20%5Cfrac%7BDistance%7D%7BTime%7D%5Cimplies%20Distance%20%3D%20Speed%5Ctimes%20Time)
So, the distance covered by Doreen in 2 hours = 9 × 2 = 18 miles,
∵ Doreen speed is 90% of Irena's speed.
I.e. 90% of Irana's speed = 9 miles per hour
![\implies \frac{90}{100}\times \text{ Irana's speed}=9](https://tex.z-dn.net/?f=%5Cimplies%20%5Cfrac%7B90%7D%7B100%7D%5Ctimes%20%5Ctext%7B%20Irana%27s%20speed%7D%3D9)
,
Thus, the distance covered by Irana in 2 hours = 10 × 2 = 20 miles
Hence, the distance between their houses = distance covered by Doreen in 2 hours + distance covered by Irana in 2 hours
= 18 + 20
= 38 miles