Answer:
a) alternate interior angles theorem
b) OXP ≅ XOL
c) XO ≅ OX
d) reflexive property (i'm not sure about this one)
e) ΔXOP ≅ ΔOXL
f) cpctc
make sure to double check the fourth one
Answer:
Step-by-step explanation:
First, we calculate the unknown angle of the left triangle and right triangle:
Unknown angle for left triangle⬆️
Unknown angle for right triangle⬆️
Now we've calculated the two angles for the small triangle in the middle. So, we just have to calculate the top angle of the middle triangle:
The angle 65° and angle of x are vertical angle.(both are equal)
So... <u>x= 65°</u>
<em>hope it </em><em>helps </em><em>:</em><em>)</em>
Answer:
.31
Step-by-step explanation:
155 / 5 31/100
500/ 5
31÷100
Long Division for 31 divided by 100
round to a Max of 3 Decimal gives us
=0.31
Answer:
7 : 20
Step-by-step explanation:
2km = 2000m
Then the ratio of 700m to 2 km is :
700 / 2000
Then the ratio in simplest form is :
7 / 20
First, using elimination method for eq. 1 and 2 to eliminate one of the variables.
2x - y + 3z = 8
-2x + 3y - 2z = 10
------------------------------
2y + z = 18
z = 18 - 2y
Now eq. 1 and 3, but multiple eq.1 with 2.
2x + 4y - 2z = 8
-2x + 3y - 2z = 10
----------------------------
7y - 4z = 18
Now you have two new equations 7y -4z = 18 and z = 18 - 2y. Solve for y and z, using substitute method.
7y - 4z = 18
7y - 4(18 - 2y) = 18
7y - 72 + 8y = 18
15y = 18+72
y = 90/15
y = 6
Find z using one of the two new equations.
z = 18 - 2y
z = 18 - 2(6)
z = 18 - 12
z = 6
Now you got y and z, find x using any one of the main three equations.
x + 2y - z = 4
X + 2(6) - 6 = 4
x + 12 - 6 = 4
x = 4 - 6
x = -2
Solutions:
x = -2
y = 6
z = 6
