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3 years ago

If angle MNP is an equilateral triangle, find x and the measure of each side

Mathematics

1 answer:

fomenos3 years ago

3 0

Answer:

x = 13

Each side = 27

Step-by-step explanation:

As triangle is an equilateral triangle, all the sides of the triangle are equal.

So,

⇒ 4x - 25 = x + 14

⇒ 3x = 39

⇒ x = 13

hence, measure of each side will be;

each side = 4x - 25

= 4(13) - 25

= 27.

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Rental of space = $68 per guest; Downpayment = 25% of total cost; Payment due one month before the reception includes a 7.4% int

liq [111]

This question is incomplete, the complete question is;

PROBLEM SOLVING WITH PERCENTS: You are planning a wedding reception for 75 guests that will take place in exactly 10 months. There are two different sites that you are contemplating using, with the stipulations on payments as described below. Determine the TOTAL cost of renting each location.

Rental of space = $68 per guest; Down payment = 25% of total cost; Payment due one month before the reception includes a 7.4% interest payment on the balance.

Answer: Total Cost of Renting = $5312.29

Step-by-step explanation:

Given that;

Rental space = $68 per guest, down payment = 25%, 7.4% interest payment on the balance.

Total Cost of Renting = Down Payment + Remaining payment

Total Cost of Renting = $68 × Guests × 25% + ($68 × Guest - Down payment) × (1 + Interest *9/12)

Total Cost of Renting = $68 × 75 × 25% + ($68 × 75 - Down payment) × (1 + 7.40% × 9/12)

Total Cost of Renting = $1275 + ($5100 - 1273) × (1.0555)

Total Cost of Renting = $1275 + 4037.29

Total Cost of Renting = $5312.29

4 0

3 years ago

What is the GCF of 36 and 84

guajiro [1.7K]

The gcf would be 6, it goes into both 36 and 84

6 0

4 years ago

Read 2 more answers

The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of

Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

$A=\dfrac{bh}{2}$

b - base

h - height

We have b = 21cm, h = 6cm.

Substitute:

$A=\dfrac{(21)(6)}{2}=63\ cm^2$

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdot h$

b₁, b₂ - bases

h - height

We have b₁ = 2b₂, therefore b₁ + b₂ = 2b₂ + b₂ = 3b₂.

The area of a triangle and the area of a trapezoid are the same.

Therefore

$\dfrac{3b_2}{2}\cdot h=63$ multiply both sides by 2

$3b_2h=126$ divide both sides by 3

$b_2h=42$ divide both sides by h

$b_2=\dfrac{42}{h}$

$b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}$

8 0

3 years ago

Read 2 more answers

Find the value of x. Write your answer in simplest form. (82 The value of x is

xxMikexx [17]

9514 1404 393

Answer:

x = 8

Step-by-step explanation:

In an isosceles right triangle, the side length ratios are ...

1 : 1 : √2 = x : x : 8√2

The latter ratios will match the first ratios when x=8.

That is, x = (8√2)/(√2) = 8.

8 0

3 years ago

The following map shows the time it takes to drive between four cities in Texas. Jacob has to drive from San Antonio to Houston,

sertanlavr [38]

Answer:

it is 7 5/12

Step-by-step explanation:

3 and 1/3 plus 4 and 1/12 and you need to multiply the denominator to get 12 ( witch is 4 ) then multiply the numerator by 4 and then you add the 2 numbers together to get 4/12 + 1/12 and then you need to add the whole numbers 3 + 4

witch gets you 7 and 5/12

3 0

3 years ago