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VladimirAG [237]
2 years ago
9

Find the measure of each acute angle. (3x + 2)∘ = and x∘ =

Mathematics
2 answers:
stira [4]2 years ago
5 0

Answer:

<h2>         22°  and  68°</h2>

Step-by-step explanation:

x° + (3x+2)° + 90° = 180°

(4x)° + 2° = 90°

(4x)° = 88°

x° = 22°

(3x+2)° = (3×22+2) = 68°

rusak2 [61]2 years ago
4 0

Answer:

The measure of one of the acute angles is 22 degrees, and the measure of the other acute angle is 68 degrees.

Step-by-step explanation:

The angles of a triangle add up to 180 degrees; we know this by the Sum of Angles of a Triangle Theorem.

Then one angle is marked as a right angle meaning it has a measure of 90 degrees.

Using this information and the labels on the diagram we can set up an equation:

x+3x+2+90=180

Now we can solve for x.

4x+92=180

4x=88

x=22 degrees

The measure of one of the acute angles is 22 degrees.

Now to solve for the measure of the other acute angle.

Subsitute the value of x first.

x=22

(3x+2)=?

3*22+2=68 degrees

The measure of the other acute angle is 68 degrees.

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wrote an equation for the line. passing through (-5,7) and parallel to the line whise equation is 5x-3y-4=0​
xeze [42]

Step-by-step explanation:

5x-3y-4=0---------(1)

Slope = - coefficient of X/ coefficient of y

= -5/(-3)

= 5/3

(x1,y1)= (-5,7)

Equation of the line,

Y-Y1= slope(X-X1)

Y-7= (5/3)×(X-(-5))

Y-7= (5x+25)/3

3y-7=5x+25

5x-3y+32=0 is the required eqn

3 0
3 years ago
What is the answer for 4x y = -10
CaHeK987 [17]

4 times y = -10

-10/4 = -2.5

y = -2.5 

8 0
3 years ago
Independent Practice
mariarad [96]

Answer:

B. (1, 0)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
what is a number of 3 digits and multiple of 5 but less than 600 and can be formed from 1,3,5,7 and 9?
Murljashka [212]
Any multipule of 5 ends with either a 0 or a 5

so we see that ther are no 0's in the list so it must end with 5

so the other 2 digits can be any number
wait, less than 600
so the first digit can be 1 or 3


some possible numbers are

135
175
195
315
375
395

those are the possible numbers
8 0
3 years ago
A rose garden is formed by joining rectangle and a semicircle, as shown below. The rectangle is 29 ft long and 21 ft wide. If th
Iteru [2.4K]

Answer:

The answer to your question is 116.53 ft

Step-by-step explanation:

Data

length = 29 ft

width = 21 ft

π = 3.14

Process

1.- Calculate perimeter of the rectangle and subtract 1 length

Perimeter of the rectangle = 2l + 2w - l

Perimeter of the rectangle = 2(29) + 2(21) - 29

                                            = 58 + 42 - 29

                                            = 71 ft

2.- Calculate the perimeter of a semicircle

Perimeter = 2πr/2 = πr

radius = r = 29/2

               = 14.5 ft

Perimeter = (3.14)(14.5)

                 = 45.53 ft

3.- Calculate the total length of the fence

fence = 45.53 + 71

          = 116.53 ft

7 0
3 years ago
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