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Sever21 [200]
3 years ago
9

HELP ITS DUE TODAY!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Answer/Step-by-step explanation:

x + 74° + 20° = 180° (sum of interior angles of a triangle)

x + 94° = 180°

x = 180° - 94° (subtraction property of equality)

x = 86°

y = 74° + 20° (exterior angle theorem of a triangle)

y = 94°

y + z + 32° = 180° (sum of interior angles of a ∆)

Plug in the value of y

94 + z + 32 = 180

z + 126 = 180

z = 180 - 126

z = 54°

You might be interested in
42 yd<br> 40 yd<br> What is the length of the hypotenuse?<br> C=<br> yards<br> HELP
Iteru [2.4K]

Answer:

58 yards

Step-by-step explanation:

The Pythagorean Theorem states that:

a^{2} +b^{2} =c^{2}

Where c is the hypotenuse, and a and b are the two legs of the right triangle. Substituting in 40 and 42 for a and b, respectively:

40^{2} +42^{2} =c^{2}

Now, we isolate c:

c= \sqrt{40^{2} +42^{2} }

Therefore, c is equal to 58, so the hypotenuse is 58 yards

Hope this helps!

8 0
3 years ago
Geometry help please!!
denis23 [38]

Answer:

a. 75°

Step-by-step explanation:

m\angle A = m\angle C... (given)

(2x+15)\degree = (3x - 15)\degree

2x+15 = 3x - 15

2x - 3x=-15-15

- x=-30

x=30

\because m\angle A =  (2x+15)\degree

\therefore m\angle A =  (2\times 30+15)\degree

\therefore m\angle A =  (60+15)\degree

\therefore m\angle A = 75\degree

6 0
3 years ago
Write nine and thirty-six hundredths with a decimal point
WINSTONCH [101]
The answer is 9.36. There is nine which equals 9, "and" means point or the decimal point and six means 6 and "hundredths" represents the position of the number which is in the hundredths place. When you count numbers to the right, you add "ths" so if there wasn't a 6 and just a 3, then it would be tenths.
5 0
3 years ago
A bike rental company charges a fee per hour. The charge, in dollars, is the same each hour. The ordered pairs (3, 13.50) and (5
olchik [2.2K]

If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bike rental company charges a fee per hour.

The charge, in dollars, is the same each hour.

The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.

Then the linear equation is given as

\begin{aligned} \rm  y - 22.5 &= \rm \dfrac{22.5 - 13.5}{5 - 3} (x-  5)\\\\\rm y - 22.5 &= \rm 4.5x - 22.5\\\\\rm y &= \rm 4.5x \end

Then the rate of change of the function expressed as a unit rate will be

\rm \dfrac{dy}{dx}  = \dfrac{d}{dx} (4.5x )\\\\\dfrac{dy}{dx}  = 4.5

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

7 0
2 years ago
Point M (-3, 5) is translated using this rule. (x, y) ----&gt; (x - 1, y) What are the coordinates of M'?
Nuetrik [128]

Answer:

The coordinates of point M' are M'(x,y) = (-4, 5).

Step-by-step explanation:

According to the statement, we have the following translation rule:

M'(x,y) = M(x,y) + (-1, 0) (1)

Where:

M(x,y) - Original point.

M'(x,y) - Translated point.

(-1, 0) - Translation vector.

If we know that M(x,y) = (-3, 5), then the coordinates of the point M' are:

M'(x,y) = (-3,5) + (-1,0)

M'(x,y) = (-4, 5)

The coordinates of point M' are M'(x,y) = (-4, 5).

5 0
3 years ago
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