Answer:
Step-by-step explanation: If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar.
Answer:
A
C
A
Step-by-step explanation:
Answer:
70°, 140°, 50°
Step-by-step explanation:
110° and the angle inside the triangle are adjacent angles and sum to 180°, so
angle inside triangle = 180° - 110° = 70°
The triangle on the left is isosceles ( 2 congruent sides ) then base angles are congruent
∠ 1 = angle inside triangle = 70°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 2 is an exterior angle of the triangle on the left, so
∠ 2 = 70° + 70° = 140°
∠ 2 is also an exterior angle of the triangle on the right, so
∠ 3 + 90° = 140° ( subtract 90° from both sides )
∠ 3 = 50°
Answer:
78%
Step-by-step explanation:
Ok to solve this we can write this as
80 = 
We put the equation like this because were finding out how much he needs to get on his 5th test x in order to get a 80%
Your grade is the average of all of your scores hence the divided by 5
We next multiply both sides of the equation by 5 to get
400 = 72+82+85+83+x
400= 322+ x
78 = x
He must get a 78% minimum on his next test to get 80%
Hope that helps!
Answer:
y = 18
a = -2
Step-by-step explanation:
Hello There!
For the first one we need to create an equation to solve for y
23+7=y+12
30=y+12
isolate the variable using inverse operations
subtract 12 from each side
30-12=18
we're left with y = 18
for the second one we need to create an equation to solve for a
3+15+a=8+8+8
3+15=18
8+8+8=16
16=18+a
step 1 subtract each side by 18
16-18=-2
we're left with a = -2
