All categories

2 years ago

What’s the answer to

Mathematics

1 answer:

Roman55 [17]2 years ago

8 0

Hint: the sum of the angles is equal to 180 in a triangle. could you make an equation to use that?

3x+13, 7x+2, and 75 are the three angle values. They will sum up to 180.

Steps:

We set the equation to:

3x+13+7x+2+75=180

We can combine some terms

10x+90=180

Then, we isolate x

10x=90

And we divide by 10

x=9

Great! but we are not done yet. We want the measure of angle A, so we need to plug x back into the equation for angle a

3(9)+13

Multiply

27+13

Add

You might be interested in

Determine if the sequence is arithmetic, geometric, or neither. For arithmetic and geometric sequences, identify the common diff

pogonyaev

9514 1404 393

Answer:

Arithmetic
common difference = 7

Step-by-step explanation:

First differences are ...

-38 -(-45) = 7

-31 -(-38) = 7

-24 -(-31) = 7

The first differences are constant, so this is an arithmetic sequence with a common difference of 7.

3 0

3 years ago

3x-1/5=x+1/3 pls help me

RoseWind [281]

Answer:

x=4/15

Step-by-step explanation:

first you need to make common denominators for 1/5 and 1/3

the common denominator is 15

5*3=15, 3*5=15. 1*3=3, 1*5=5

new equation:3x-3/15=x+5/15

now subtract x from both sides: 3x-3/15=x+5/15

-x -x

2x-3/15=5/15

now you can add 3/15 to 5/15

2x=8/15

now for the last step, divide by 2 because there are 2 x's

2x/2=x 8/15 /2=4/15

x=4/15

8 0

1 year ago

Read 2 more answers

Find the slope of the line that contains each pair of points

Paul [167]

Answer:

m=3/2

m=-5/3

m=-5/9

m=8/5

m=1/2

m=0

m=1

5 0

3 years ago

A carpenter is making a rectangular form for a concrete pad she wants the length of the path to be 11 feet more than the width o

Basile [38]

Answer:

Length = 16 or -5 feet.

Width = 5 or -16 feet.

Step-by-step explanation:

Let the length of the concrete pad = l

Let the width of the concrete pad = w

Given the following data;

Area of concrete pad, a = 80ft²

Translating the word problem into an algebraic equation, we have;

$l = 11 + w$

We know that, the area of rectangle, A = length * width

$A = l*w$

Substituting the values into the equation, we have;

$80 = (11 + w)w$

Expanding the bracket, we have;

$80 = 11w + w^{2}$

$w^{2} + 11w - 80 = 0$

*Solving the quadratic equation by using factorization method*

$w^{2} + 16w - 5w - 80 = 0$

$w(w + 16) - 5(w + 16) = 0$

$(w - 5)(w + 16) = 0$

Width, w = 5 feet or w = -16 feet.

Therefore, the width of the concrete pad is 5 feet or -16 feet.

To find its length, l;

$l = 11 + w$

When w = 5 feet

$l = 11 + 5$

Length, l = 16 feet

When w = - 16 feet

$l = 11 + (-16)$

$l = 11 - 16$

Length, l = -5 feet.

Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.

6 0

3 years ago

You have a six-sided die that you roll once. Let Ri denote the event that the roll is i. Let G j denote the event that the roll

Misha Larkins [42]

Answer:

a. $P (R3 | G1)=\frac{1}{5}$

b. $P (R6| G3)= \frac{1}{3}$

c. $P(G3|E)=\frac{2}{3}$

d. $P (E|G3)=\frac{2}{3}$

Step-by-step explanation:

The sample space associated with the random experiment of throwing a dice is is the equiprobable space {R1, R2, R3, R4, R5, R6}. Then,

a. The conditional probability that 3 is rolled given that the roll is greater than 1? $P (R3 | G1) = \frac{P (R3\bigcap G1)}{P(G1)} = \frac{1/6}{5/6} = \frac{1}{5}$

b. What is the conditional probability that 6 is rolled given that the roll is greater than 3? $P (R6| G3) = \frac{P (R6\bigcap G3)}{P(G3)} = \frac{1/6}{3/6} = \frac{1}{3}$

c. What is P [GIE], the conditional probability that the roll is greater than 3 given that the roll is even? $P(G3|E) = \frac{P (G3\bigcap E)}{P(E)} = \frac{2/6}{3/6} = \frac{2}{3}$

d. Given that the roll is greater than 3, what is the conditional probability that the roll is even? $P (E|G3) = \frac{P (E\bigcap G3)}{P(G3)} = \frac{2/6}{3/6} = \frac{2}{3}$

6 0

3 years ago