Answer:
Step-by-step explanation:
The formula of a slope:
Substitute the coordinates of the given points (-1, -1) and (2, -2):
Let smaller number be x/2 and the larger number x.
x/2 + x = 81
x/2 + x = 3x/2
3x/2 = 81
3x = 162
x= 54
The smaller number is 54/2= 27 and the larger number is 54.
Given:
Vertical angles.
One angle is 85°.
To find:
The measure of ∠1, ∠2 and ∠3.
Solution:
∠2 and 85° are vertically opposite angles and ∠1 and ∠3 are vertically opposite angles.
Vertical angle theorem:
If two lines are intersecting, then the vertically opposite angles are congruent.
⇒ m∠2 = 85°
Sum of the adjacent angles in a straight line = 180°
m∠2 + m∠3 = 180°
85° + m∠3 = 180°
Subtract 85° from both sides.
85° + m∠3 - 85° = 180° - 85°
m∠3 = 95°
By vertical angle theorem:
⇒ m∠1 = m∠3
⇒ m∠1 = 95°
Therefore m∠1 = 95°, m∠2 = 85° and m∠3 = 95°.
Answer:
58
Step-by-step explanation:
6*8+2*2+3*2=58
Using pemdas you can solve it. Pemdas stands for parentheses, exponents, multiply, divide, add, and subtract. So you look at the problem and you look if there’s any parentheses which is not so then you move onto exponents which there is. Two to the third power is equal to 8. The problem then becomes 28+87/3•8
Then you look for multiplication. 3•8=24
It’s now 28+87/24
Next is division so you do 87/24 = 3.6
Now it is 28+3.6=31.6
The answer is 31.6