The question is incomplete. Here is the complete question.
m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.
If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.
A. 1
B. 154
C. 77
D. 26
Answer: B. m∠K = 154
Step-by-step explanation: <u>Isosceles</u> <u>trapezoid</u> is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.
Related to internal angles, angles of the base are equal and opposite angles are supplementary.
In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:
18x + 8 = 11x + 15
7x = 7
x = 1
Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:
m∠J = 18(1) + 8
m∠J = 26
m∠K + m∠J = 180
m∠K + 26 = 180
m∠K = 154
The angle m∠K is 154°
Answer: The fraction of the gifts were for birthdays =
.
Step-by-step explanation:
Given: fraction of gifts for weddings = 
fraction of gifts for baby showers = 
Rest of the gifts = 
![=\dfrac{100-30-37}{100}\ \ \ [\text{Making like fractions}]\\\\=\dfrac{100-67}{100}\\\\=\dfrac{33}{100}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B100-30-37%7D%7B100%7D%5C%20%5C%20%5C%20%5B%5Ctext%7BMaking%20like%20fractions%7D%5D%5C%5C%5C%5C%3D%5Cdfrac%7B100-67%7D%7B100%7D%5C%5C%5C%5C%3D%5Cdfrac%7B33%7D%7B100%7D)
Hence, the fraction of the gifts were for birthdays =
.
Answer: 1
Step-by-step explanation: Because it is
Answer:
d
Step-by-step explanation: