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2 years ago

Find m, given that the three angles of a triangle are (m+18), (2m+28) and (3m+47).

Mathematics

1 answer:

alukav5142 [94]2 years ago

8 0

Step-by-step explanation:

As all angles in a triangle add up to 180°

we can write:

(m+18)+(2m+28)+(3m+47) = 180

6m + 93 = 180

6m = 180 - 93

6m = 87

m = 87 / 6

m = 14.5

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If each side of a square grows 6 mm, the area of the square is multiplied by 16. How long are the sides of the original square

Phoenix [80]

Answer:

2 mm

Step-by-step explanation:

Let x be the sides of the original square,

then the area of the original square is x^2

The sides of the new square is x + 6

The area is (x + 6)^2

Then (x + 6)^2 = 16*x^2

Take square root on both sides and get

x + 6 = 4x,

3x = 6

so x = 2 mm

3 0

2 years ago

HELP ASAP

denis-greek [22]

A) I included a graph, look below.

B)

Input the y in x = y + 3.

x = (-4x - 3) + 3
x = -4x + 0
Add 4x to both sides.
5x = 0
Divide both sides by 5.
x = 0

Input that x value in y = -4x - 3

y = -4(0) - 3
y = 0 - 3
y = -3

(0, -3)

C)

Convert both equations to Standard Form.

x = y + 3
Subtract y from both sides.
x - y = 3

y = -4x - 3
Add 4x to both sides.
4x + y = -3

Add the equations together.

4x + y = -3
x - y = 3
equals
5x = 0
Divide both sides by 5.
x = 0

Input that into one of the original equations.

0 = y + 3
Subtract 3 from both sides.
-3 = y

(0, -3)

7 0

3 years ago

The original cost of a makeup set was $30. After sales tax, Peter paid a total of $31.71. What is the percent sales tax rate?

S_A_V [24]

Answer:

5.7

Step-by-step explanation:

<u>unrelated</u>, I love how peter is open about buying makeup. i feel as if the gender roles are garbage. #YasQueen #GoPeter #PeterIsCool #MakeupCanBeForBoysToo <3

(also peter could totally be a girl and I am misgendered a person)

6 0

2 years ago

Read 2 more answers

NEED AN ANSWER ASAP How are the terms in parentheses affected when multiplied by a negative coefficient when the distributive pr

Anna [14]

The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

The Distributive Property tells us that we can remove the parentheses if the term that the polynomial is being multiplied by is distributed to, or multiplied with each term inside the parentheses.

If a number outside the parentheses has a negative sign then the first and simplest way is to change each positive or negative sign of the terms that were inside the parentheses. Negative or minus signs become positive or plus signs. Similarly, positive or plus signs become negative or minus signs.

5 0

3 years ago

For what values of (m) does the graph of y=mx²-5x-2 have no x-intercepts?

Natali5045456 [20]

You need to find where the discriminant is less than zero
Remember the discriminant is b^2 - 4ac
a = m
b = -5
c = -2
Set up the inequality like this
(-5)^2 - 4m(-2) < 0
25 + 8m < 0
8m < -25
m < -25/8 < -3.125

So any number less than -3.125 will make this graph have no x-intercepts (or real roots)

5 0

3 years ago