Answer:
angle BOD = angle AOC
( cuz they are vertical opposite angles )
so angle BOD = 65°
Answer:
∠A=0
<u>-------------------------</u>
hope it helps...
have a great day!!
FOIL
x^2+11x-9x-99
x^2+2x-99
a. The value of x is 7
b. The measure of ∠1 is 99°
<h3>Calculating angles </h3>
From the question, we are to solve for x
From the given diagram, we can write that
m∠NMQ + m∠MQN + m∠QNM = 180° (<em>Sum of angles in a triangle</em>)
From the given information,
m∠NMQ = 5x +19
m∠MQN = 8x -11
m∠QNM = 11x + 4
Then,
5x + 19 + 8x -11 + 11x + 4 = 180
Collect like terms
5x + 8x + 11x = 180 - 19 + 11 - 4
24x = 168
∴ x = 168/24
x = 7
Hence, the value of x is 7
b.
Measure of ∠1 + m∠QNM = 180° (<em>Sum of angles on a straight line</em>)
∴ Measure of ∠1 = 180° - m∠QNM
But m∠QNM = 11x + 4
∴ m∠QNM = 11(7) + 4
m∠QNM = 77 + 4
m∠QNM = 81°
Then,
Measure of ∠1 = 180° - 81°
Measure of ∠1 = 99°
Hence, the measure of ∠1 is 99°
Learn more on Calculating angles here: brainly.com/question/25716982
#SPJ1
Answer:
She can make 4 Red Cards and 6 Pink Cards
Step-by-step explanation:
<u>You need to find a common denominator</u>
So if you have 1/2 a yard of red ribbon and you need 1/8 yards of ribbon to make a card - You would do 1/2 times 4 (1x4=4 || 4x2=) = 4/8
And the same for the Red Ribbon
3/4 - (3x2=6 || 4x2=8) = 6/8
