y = 90°
Solution:
The reference image for the answer is attached below.
The sum of opposite interior angles is equal to the exterior angles.
m∠BAC + m∠ACB = 110°
m∠BAC + 70° = 110°
m∠BAC = 110° – 70°
m∠BAC = 40°
m∠BAD + m∠DAC = 40°
x + x = 40°
2x = 40°
Divide by 2 on both sides of the equation.
x = 20°
In triangle DAC,
Sum of all the angles of a triangle = 180°
m∠DAC + m∠ACD + m∠CDA = 180°
20° + 70° + m∠CDA = 180°
90° + m∠CDA = 180°
m∠CDA = 180° – 90°
m∠CDA = 90°
∠CDA and y lies on the straight line. So they form a linear pair.
y + m∠CDA = 180°
y + 90° = 180°
y = 180° – 90°
y = 90°
The value of y is 90°.
14) the slope for the first problem is -2/8.
Not proportional
15) The slope is 1/6.
Not proportional
16) The slope is 0.
Not proportional
To determine whether x and y have a proportional relationship, see if the line through these points passes through the origin (0, 0).
Hope this helps! Merry Christmas!✨❤️
Answer:
third option
Step-by-step explanation:
where are the expressions?
Well, you want to solve for a. You first add the 4 to both sides.
3a-4<5
3a<9
Then you want to get a by itself so you divide both sides by 3. Since the 3 is positive you don't have to worry about switching the sign. It stays this way <
After you divided both sides by 3 you get a<3