Answer: x = 12
<u>Step-by-step explanation:</u>
a) Linear Pair: 110° + ∠a = 180° --> ∠a = 70°
b) congruent sides implies congruent angles --> ∠b = 70°
c) Triangle Sum Theorem: ∠a + ∠b + ∠c = 180
70° + 70° + ∠c = 180°
∠c = 40°
d) Complimentary Angles: ∠c + ∠d = 90°
40° + ∠d = 90°
∠d = 50°
∠2) Linear Pair: ∠d + ∠2 = 180°
50° + ∠2 = 180°
∠2 = 130°
x) m∠2 = 130°
10x + 10 = 130°
10x = 120
x = 12
Wow! There so much extra stuff on this drawing, naturally it's hard to see
what's going on.
First, do you remember "vertical angles" ? They're the pair of opposite angles
that form where lines cross, and they're equal.
-- It says that angle-1 is 55 degrees.
Angle-1 and angle-7 are vertical angles, so angle-7 is also 55 degrees.
-- It says that angle-4 is 60 degrees.
Angle-4 and angle-6 are vertical angles, so angle-6 is also 60 degrees.
Now you can forget about all that stuff that's outside of the triangle in the middle,
and just look at the triangle. They want you to find angle-10.
See the angles at the top of the triangle ... angle-7 and angle-6 ?
We know what both of those are. Angle-7 is 55 degrees, and angle-6 is 60 degrees.
Do you remember what the 3 angles inside a triangle always add up to ?
They always add up to 180 degrees.
Add angle-7 and angle-6 together . . . 55 + 60 = 115 degrees.
So angle-10 is just the rest of the 180 degrees inside the triangle.
Angle-10 = 180 - (115) = 65 degrees
Answer:
B. Variance = r2 = 0.7225
Step-by-step explanation:
Given the correlation coefficient, variance is obtained by squaring the correlation coefficient to obtain what is also know as coefficient of determination. Gives information on the predictive power of the model
Answer:
p= 3
q= 7
Hope this helps :)
Answer:
12
Step-by-step explanation:
to find the answer, divide 6 by 0.5. you will get 12
