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svp [43]
3 years ago
8

21 and 22 are complementary angles. The measure of Z1 is 60°. The

Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

Answer:

The value of x is 7

Step-by-step explanation:

Complementary angles have a sum of 90°, therefore the equation to solve for x is:

∠1+∠2=90°

60°+5(x-1)°=90°

5(x-1)=30°

x-1=6

x=7

So the value of x is 7

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A clock has a face with a radius of 11.5 centimeters. What is the approximate circumference of the clock?
antiseptic1488 [7]
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The newly elected president needs to decide the remaining 7 spots available in the cabinet he/she is appointing. If there are 13
Alexxx [7]

Answer: 8648640 ways

Step-by-step explanation:

Number of positions = 7

Number of eligible candidates = 13

This can be done by solving the question using the combination Formula for selection in which we use the combination formula to choose 7 candidates amomg the possible 13.

The combination Formula is denoted as:

nCr = n! / (n-r)! * r!

Where n = total number of possible options.

r = number of options to be selected.

Hence, selecting 7 candidates from 13 becomes:

13C7 = 13! / (13-7)! * 7!

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8 0
3 years ago
A cookie recipe calls for 1/3 of a cup of sugar and 1 1/2 cups of flour. What is the unit rate of flour to sugar for the cookie
Serggg [28]

Answer:

Rate = 4.5

Step-by-step explanation:

It is given that,

A cookie recipe calls for 1/3 of a cup of sugar and 1 1/2 cups of flour.

We need to find the unit rate of flour to sugar for the cookie recipe. It can be calculated as follows :

U=\dfrac{\text{No of cups of flour}}{\text{No of cups of sugar}}\\\\=\dfrac{1\dfrac{1}{2}}{\dfrac{1}{3}}\\\\=\dfrac{\dfrac{3}{2}}{\dfrac{1}{3}}\\\\=\dfrac{3}{2}\times 3\\\\=4.5

So, the unit rate of flour to sugar for the cookie recipe is 4.5

6 0
3 years ago
Given the three functions: f(x) = 60x + 20; g(x)=3(2)^ + and h(x) = 4x ^ 2 + 10x 5. Label each function as quadratic , linear, o
Butoxors [25]

Answer:

Number one is Linear, Number two is Exponential, and Number three is quadratic

Step-by-step explanation:

8 0
3 years ago
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