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3 years ago

Use the data given below to answer the following questions: 68, 63, 67, 66, 65, 87, 69, 61, 86, 82, 28

Mathematics

1 answer:

kobusy [5.1K]3 years ago

4 0

I am on the same question, I will try to find it out.

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mixas84 [53]

Answer:

x = 60°

y = 50°

Step-by-step explanation:

✅x = 180° - (50° + 70°) (sum of interior angles of a triangle theorem)

x = 180° - 120°

x = 60°

✅Based on the exterior angle theorem, the sum of the opposite interior angles of a triangle = the exterior angle.

Therefore,

50° + 60° = x + y

Plug in the value of x

50° + 60° = 60° + y

110° = 60° + y

y = 110° - 60°

y = 50°

3 0

3 years ago

An athletic director pays $90 for 12 sun visors for the softball team. a. How much will the athletic director pay to buy 15 more

Likurg_2 [28]

Get the unit rate.

90 / 12 = 7

$7.50 for a sun visor.

15 * 7.5 = 112.5

The athletic director needs to pay $112.5 to buy 15 more sun visors.

7 0

4 years ago

If a parallelogram is inscribed in a circle the it must be a

jekas [21]

Answer: Rectangle

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which of the following is 39/5 converted to a mixed number

Aleonysh [2.5K]

If you show the following than it can be answered, but 39/5 converted would be 7 4/5

6 0

3 years ago

Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?

Vilka [71]

Answer:

$\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}$

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

$\sf \implies p(x)=- x^3+cx^2-4x+3$

And the factor is ,

$\sf \implies g(x) = x + 3$

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

$\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}$

<h3>Hence the value of c is (-14)/3 .</h3>

4 0

3 years ago