Answer:
m∠CEH = 79°
Step-by-step explanation:
From the picture attached,
∠CED and ∠CEH are the pair of linear angles.
Since, pair of linear angles are supplementary angles.
m∠CED + m∠CEH = 180°
101° + m∠CEH = 180°
m∠CEH = 180° - 101°
= 79°
Therefore, measure of angle CEH is 79°.
Answer:
x = 21.5
Step-by-step explanation:
In the given trapezoid, the angles are consecutive interior angles.
i.e, consider the parallel sides of a trapezoid as parallel lines and the common side as the transversal. So, it is parallel lines cut by a transversal make a pair of consecutive interior angles which are supplementary.
i.e,
(5x + 13)° + (3x - 5)° =180°
5x + 13 + 3x - 5 = 180
8x + 8 = 180
8x = 180 - 8 =172
x= 172/8 = 21.5
So, 5x + 13 = 5(21.5) + 13 = 120.5°
3x - 5 = 3(21.5) -5 = 59.5°
Jessica is baking cookies for a bake sale and needed 3/4 cups of flower in the original recipe. Jessica's mom later found out that there wouldn't be as many guests so Jessica cut the recipe in half and needs half of the original amount of flour. Jessica now needs 3/8 cups of flour.
F(1) = 2
f(2)= -1
f(3)= -4
f(4)= -7
Answer: 33a+19
Step-by-step explanation:
11a+7+10a+3+12a+9
Collect like terms.
(11a+10a+12a)+(7+3+9)
Simplify.
33a+19