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BigorU [14]
3 years ago
8

Help help math math math

Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0

Answer:

  x = 16

Step-by-step explanation:

The two marked angles are supplementary:

  (7x -2) +(4x +6) = 180

  11x +4 = 180

  11x = 176

  x = 176/11 = 16

The value of x is 16.

_____

<em>Additional comment</em>

The angle on the left is 110°; the one on the right is 70°, so that answer checks.

These marked angles are called "consecutive exterior" angles. Just as "consecutive interior" angles are supplementary, so are consecutive exterior angles.

Essentially, all of the obtuse angles are congruent, as are all of the acute angles. The obtuse angles are supplementary to the acute angles.

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If 32x+1 = 3x+5, what is the value of x?<br>2<br>3<br>4<br>6​
elena-14-01-66 [18.8K]

Answer:4

Step-by-step explanation:

4 0
3 years ago
Use the Pythagorean theorem and the following diagram to help you find the area and perimeter of the following triangle. Please
Mekhanik [1.2K]

Answer:

Perimeter = 30

Area = 30

Step-by-step explanation:

(x+8)^2 -x^2 = 12^2

x^2 +16x +64 - x^2 = 144

16x+64=144

16x = 80

x = 5

Double check:

\sqrt{12^2 + 5^2} = (5+8)\\\sqrt{12^2 + 5^2} = 13\\13 = 13

Perimeter:

12+5+13=30

Area(\frac{1}{2}bh):

\frac{1}{2} × 12 × 5 = 30

5 0
3 years ago
Read 2 more answers
The kinetic energy (in joules ) of a moving object can be calculated from the expression 1/2mv to the second power, where m is t
yulyashka [42]

E = 1/2 m v^2

E = 1/2 (0.145) (40)^2

E = 0.0725 x 1600

E = 116 kg m^2/s^2

1 joule = 1 kg m^2/s^2

so here E in joules is 116 joules

so E = 116 joules

7 0
3 years ago
A feasible region has vertices at (-1,3), (3,5), (4,-1), and (-1,-2) find the maximum and minimum values of each function
Molodets [167]
Answer: Choice D. 
Max: f (-1,-2)=4; min:f(3,5)=-11

----------------------------------------
----------------------------------------

Work Shown:

Plug in (x,y) = (-1,3)
f(x,y) = -2x-y
f(-1,3) = -2*(-1)-3
f(-1,3) = 2-3
f(-1,3) = -1
------------------
Plug in (x,y) = (3,5)
f(x,y) = -2x-y
f(3,5) = -2*3-5
f(3,5) = -6-5
f(3,5) = -11
------------------
Plug in (x,y) = (4,-1)
f(x,y) = -2x-y
f(4,-1) = -2*4-(-1)
f(4,-1) = -8+1
f(4,-1) = -7
------------------
Plug in (x,y) = (-1,-2)
f(x,y) = -2x-y
f(-1,-2) = -2*(-1)-(-2)
f(-1,-2) = 2+2
f(-1,-2) = 4
------------------
The four outputs are: -1, -11, -7, and 4

The largest output is 4 and that happens when (x,y) = (-1,-2)
So the max is f(x,y) = 4

The smallest output is -11 and that happens when (x,y) = (3,5)
So the min is f(x,y) = -11

This all points to choice D being the answer.

6 0
3 years ago
A store has 8 puppies, including 3 poodles, 3 terries, and 2 retrievers. If Rebecca and Jas, in that order, each select one pupp
Alja [10]

Answer:

2/7

Step-by-step explanation:

Since Rebecca is garunteed to pick a poodle, there are 7 puppies left. There are 2 retrievers so the probability is 2/7

3 0
3 years ago
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