What is the answer to 43 times five divided by seven

The interior angles formed by the sides of a pentagon have measures that sum to 540°. What is the measure of angle B?

patriot [66]

Answer:

m∠B = 110°

Step-by-step explanation:

We know that,

The sum of the measures of the angles in a pentagon is 540°.

So, we get,

130 + (x-5) + (x+30) + 75 + (x-35) = 540

i.e. 3x + (130+30+75) - (5+35) = 540

i.e. 3x + 235 - 40 = 540

i.e. 3x + 195 = 540

i.e. 3x = 540 - 195

i.e. 3x = 345

i.e. x= 115°

Now, as m∠B = (x-5)° = (115-5)° = 110°

Hence, the measure of angle B is 110°.

4 0

3 years ago

Read 2 more answers

Five more than the product of two and a number,

never [62]

Answer:

It was difficult reading the question, as written. Check my assumptions.

Step-by-step explanation:

"five more than the product of two and a number,

decreased by seven"

---

Let the "number" be a.

We are told "five more than . ." means +5,

"the product of two and a number" means 2a,

"decreased by seven" mean -7

Put the statements together to obtain:

+5+2a-7

Simplify to 2a-2

Evaluate when a = 8:

2a-2

2(8)-2

16-2

= 14

7 0

2 years ago

Ellie, an office manager, needs to find a courier to deliver a package. The first courier she is considering charges a fee of $1

Ber [7]

Answer:

The weight of the package is 1 kilograms.

It will cost $ 13 by both the couriers services.

Step-by-step explanation:

Let the weight of her package is x kilograms

Now, according to the question:

The charges of first Courier = $10 + $3(x)

and The charges of Second Courier = $7 + $6(x)

Also, for x kilograms, both the charges are equal

⇒ $10 + $3(x) = $7 + $6(x)

or, 10 + 3x = 7 + 6x

or, 10 -7 = 6x - 3x

⇒ 3x = 3, implies x = 3/3 = 1

⇒ The weight of the package is 1 kilograms.

It will cost : 10 + 3(1) = $ 13 = 7 + 6(1) by both the couriers services.

5 0

3 years ago

The mean vitamin C level for 20 dogs was 7.6 milligrams per liter, with a standard deviation of 2.1 milligrams per liter.

SpyIntel [72]

Answer: The mean increases.

Step-by-step explanation:

The value of 0.9 mg/L is very low compared to a means of 7.6 mg/L with a standard deviation of 2.1 mg/L. It seems as though it is an outlier that is suffiently different from the others, and probably should be dropped from the data set. That would do 2 things: 1) the stabdard deviation will likely decrease, indicating a more confident data set, and 2) the mean vitamin C level will increase.

5 0

2 years ago

Araceli uses 9.6 pints of blue paint and white paint to paint her bedroom walls. Three fourths of this amount is blue paint , an

Soloha48 [4]

Answer:

2.4 pints

Step-by-step explanation:

Araceli uses 9.6 pints of blue paint and white paints, that means the total volume of paint is 9.6 pints

If Three fourths of this amount is blue paint ,

Then $\frac{3}{4} X 9.6=7.2 pints$

7.2 pints of blue paint was used.

We want to find out how much white paint was used by Araceli

Volume of Blue Paint+Volume of White Paint=Total Volume of Paint

7.2+Volume of White Paint=9.6

Volume of White Paint=9.6-7.2=2.4 pints

6 0

3 years ago