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chubhunter [2.5K]
2 years ago
11

Angle A and angle B are complementary angles. If m∡a = 4x and m∡b = 3x +13, what is the measure of the smaller angle?

Mathematics
1 answer:
bagirrra123 [75]2 years ago
5 0

Answer:

Step-by-step explanation:

Complementary angles mean two two angles sum with equal 90 degrees. Therefore you would need to create an equation to solve for the value of x.

4x+3x+13=90

-13 -13

7x=77

/7 /7

X=11

Now plug in the value of x.

A=4(11) B=3(11)+13

A=44. B=33+13

B=46

Angle a is the smaller angle and measures at 44°

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Triangle EFG is dilated by a scale factor of \frac{2}{3}
Anit [1.1K]

Answer:

 B.  36°

Step-by-step explanation:

Dilation does not change the angle measures or the direction of the lines. Angle F is the same as corresponding angle F'.

5 0
3 years ago
Find the area and perimeter of a rectangle that has a length of (x + 24) and (x + 16). Show all work for full credit.
klio [65]

Answer:

Perimeter of rectangle = 4x + 80

Area = x² + 40x + 384

Step-by-step explanation:

Perimeter of rectangle = 2*(length + width)

                                      = 2* (x + 24 + x + 16)

                                      = 2*( x +x + 24 + 16)    {Combine like terms}

                                      = 2* (2x + 40)

Use Distributive property : a*(b +c) = a *b + a*c

                                     = 2*2x + 2*40

                                     = 4x + 80

Area of rectangle = length * width

                             = (x + 24) (x + 16) {use FOIL method}

                            = x*x + x*16 + 24*x + 24*16

                             = x² + 16x + 24x + 384  {Combine like terms}

                             = x² + 40x + 384

6 0
2 years ago
I NEED HELP URGENTLY
tigry1 [53]

Answer:

30 square millimeters

Step-by-step explanation:

3 x 3 = 9

3 x 1 = 3

there are two sides with the area 9 therefore...

9 x 2 = 18

There are four sides with the area 3 therefore...

3 x 4 = 12

Therefore the suface area is

12 + 18 = 30

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Y-intercept=0
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3 years ago
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