Answer:
a. 106 degrees
Step-by-step explanation:
m=measure of angle 1; m-32 degrees=measure of supplement
m+(m-32 degrees)=180 degrees Add 32 degrees to each side.
2m=212 degrees Divide each side by 2
m=106 degrees ANSWER: The measure of angle 1 is 106 degrees
CHECK:
106+(106-32)=180
106+74=180
180=180
7.50 times hours would be her pay then add the bonus x number of bouquets
a = 7.50h +(bn)
Answer:
I think 25 IM AM SO SORRY IF ITS WRONG!!!!!!!!
Step-by-step explanation:
To solve this, all you have to do is add 1/5 and 1/3.
Well, you might be thinking, "But the denominators are not the same! Fractions have to have like denominators in order to be added together!" And you are right. So, all we have to do, is make them both have the same denominator. To do this, we have to multiply both the numerator and denominator by the same number to find an equivalent fraction.
For 1/5, we can multiply both the numerator and denominator by 3, to get 3/15.
Likewise, we can multiply both the numerator and denominator of 1/3 by 5, to get 5/15.
Now, you can easily add 3/15 and 5/15 because all you have to do is add the numerators, because the denominators are the same!
3/15+5/15=8/15, so she spends 8/15 hour on her math and social studies homework.
Hope I helped!
Answer:
D) 57.5°
Step-by-step explanation:
As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.
Pythagoras Theorem =
=
a = 7 and b = 11
= 49
= 121
Plugging in the values, we will get:
= 49 + 121
= 170
c = 
To calculate the unknown angle B, we can use law of sine.
Law of sine =
=
=
So,
= 
= 
Sin90 = 1
sinB = 
B =
(
)
B = 57.5°