Answer:
132
Step-by-step explanation:
they are supplementary angles
180-48
132
Answer:
(B) The measure of angle SUT is equal to 90 degrees
Step-by-step explanation:
It is given that in In triangle STU,
.
We can see from the triangle and also the given condition that the triangle will be right triangle as it is satisfying the Pythagoras theorem.

that is:

where u is the hypotenuse, s is the base and t is the perpendicular.
Thus, the angle SUT should be of 90°.
Thus, The measure of angle SUT is equal to 90 degrees.
Hence, option B is correct.
Answer:
4 7/8
Step-by-step explanation:
3 1/4 / 2/3
convert mixed numbers to improper fractions: 3 1/4 / 2/3
13/4 / 2/3
apply the fraction rule: a/b / c/d = a/b * d/c
= 13/4 * 3/2
multiply fractions: a/b * c/d = (a * c)/(b * d)
= (13 * 3)/(4 * 2)
multiply the numbers: 13 * 3 = 39
= 39/(4 * 2)
multiply the numbers: 4 * 2 = 8
= 39/8
convert improper fractions to mixed numbers: 39/8 = 4 7/8
= 4 7/8
<h2>
Translating Sentences into Equations</h2>
A key part of this is recognizing certain words to change into operations or numbers:
- <em>quotient</em> = divide
- <em>three more</em> = add 3
- <em>'a/the number' </em>= use a variable (in this case, it's <em>w</em>)
<h2>Solving the Question</h2>
We're given:
- Three more than the quotient of a number and 7 equals 6
⇒ 'the quotient of a number and 7' tells us we divide <em>w</em> by 7: - Three more than
equals 6
⇒ 'three more than' means we add 3 to the fraction:
equals 6
<h2>Answer</h2>
