Hi Bre,
Since lines a and b are parallel, we know that in the image:
- ∡1 ⇔ ∡5
- ∡2 ⇔ ∡6
- ...
- ∡4 ⇔ ∡8
We're given the angle of ∡7, which is 114°. We can see that ∡7 + ∡8 will equal to 180° (since line b is a straight line) and since ∡8 ⇔ ∡4, we can deduct that ∡7 + ∡4 = 180°.
From here, it's just imputing the information and solving.
⇒ 114° + ∡4 = 180°
⇒ ∡4 = 180° - 114°
⇒ ∡4 = 66°
-Hope this helps!
Answer:

Step-by-step explanation:
Given,
Length of a rectangle = 20 inches
Perimeter of a rectangle = 64 inches
Area of a rectangle = ?
Let width of a rectangle be ' w ' .
<u>Fi</u><u>rst</u><u>,</u><u> </u><u>finding </u><u>the</u><u> </u><u>width</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>rectangle</u>

plug the values
⇒
Distribute 2 through the parentheses
⇒
Swap the sides of the equation
⇒
Move 2w to right hand side and change it's sign
⇒
Subtract 40 from 64
⇒
Divide both sides of the equation by 2
⇒
Calculate
⇒
Width of a rectangle ( w ) = 12 inches
<u>Now</u><u>,</u><u> </u><u>finding</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of </u><u>a</u><u> </u><u>rectangle</u><u> </u><u>having</u><u> </u><u>length</u><u> </u><u>of</u><u> </u><u>2</u><u>0</u><u> </u><u>inches</u><u> </u><u>and </u><u>width </u><u>of</u><u> </u><u>1</u><u>2</u><u> </u><u>inches</u>

plug the values
⇒
Multiply the numbers : 20 and 12
⇒
Hence, Area of a rectangle = 240 inches²
Hope I helped !
Best regards!
<span>the product of one term of a multiplicand and one term of its multiplier.</span>
Answer:
34
Step-by-step explanation:
in one minute he scoops 4.25 cups which you get by dividing 8.5 and 2 and then you multiply that by 8 and you get 34 cups
Answer:
The domain is (-2, 8, 3, 2)
Step-by-step explanation:
The domain is such because domain is the x-element or the one you see at first in the ordered pairs.