The sum of a trapezoid is 360 degrees
45+90+90+x=360
45+180+x=360
225+x=360
x=135
Answer:
what
Step-by-step explanation:
what figure
Hey there!
In order for two figures to be congruent, each named angle must correspond and be congruent to ONE other angle. If you have ZYV and XWV, Z must be congruent to X as they both show up first in the ordering.
This means...
∠Z≅∠X
∠Y≅∠W
∠V≅∠V
Our first answer option has to do with parallelism, which does not influence if certain angles are congruent or not.
For the second answer option, ∠Z is congruent to ∠X, not ∠Y, so it is incorrect.
For the third answer option, it shows that ∠Z would correspond to ∠V, but it does not, so it is also incorrect.
For D, ∠Z IS congruent to ∠X, and ∠W IS congruent to ∠Y
Therefore, our answer is D) ∠Z≅∠X and ∠W ≅ ∠Y.
I hope this helps!
Dimensions of the room------------------- >16*13
1 in---------------- >0.0833333 foot
3 in----------------- >x
x=3*.0833333=0.25 ft
Let
<span>C-------------- > dimensions of the piece of carpet that Charlotte must purchase
C-------------- > (16+2*0.25)*(13+2*0.25)---------- > (16.50)*(13.50)=222.75 ft</span>²
<span>
The answer a the question 1) is 16.50 feet X 13.50 feet</span>
The answer a the question 2) is 222.75 ft²
<span>3. How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom?
if </span><span>two-person carpet crew can lay 50 square feet of carpet---------- > 1 hour</span><span>
four person </span>carpet crew can lay 100 square feet of carpet---------- > 1 hour
therefore
if 100 ft² carpet----------------------- > 1 hour
222.75 ft² carpet--------------------- > x
x=222.75/100=2.2275 hours=2.23 hours
The answer is 2.23 hours
If the gradient is -2 that just means we work back the way, the method i use to find the gradient is y^2-y^1/x^2-x^1 so if we sub the variables in that gives us -18-(-8)/3-x so if we add that up we get -10/3-x, so what has to be on the bottom to get -2? in this case it would be -2 so the overall answer would be -10/5 which would give us a slope of -2 when simplified :) hope this helps
