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Eduardwww [97]
3 years ago
11

Find the value of x in the triangle shown below. х 53° 2 97°

Mathematics
1 answer:
tino4ka555 [31]3 years ago
5 0

Given:

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

Angle sum property of a triangle: According to this property, the sum of all interior angles of a triangle is 180 degrees.

Using the angle sum property of triangle, we get

x^\circ+53^\circ+97^\circ=180^\circ

x^\circ+150^\circ=180^\circ

x^\circ=180^\circ-150^\circ

x^\circ=30^\circ

Therefore, the value of <em>x</em> is 30 degrees.

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A bus is traveling at 50 mph. If the rate of speed increases 3 mph each hour, how long will it be before the bus is traveling at
arsen [322]

Answer:

It will take 10 hours.

Step-by-step explanation:

By using the formula of motion,

v = u + at

Here, v = Final speed of an object

u = initial speed

a = Acceleration by which the speed is increasing

t = Duration or time

Now substitute the values given in the question,

80 = 50 + 3t

3t = 30

t = 10 hours

Therefore, after 10 hours speed of the bus will be 80 mph.  

4 0
3 years ago
A president, treasurer, and secretary, all di erent, are to be chosen from a club consisting of 12 people (whose names are I, J,
Ierofanga [76]

Answer:

There are 220 choices

Step-by-step explanation:

Given

People = 12

Selection =3 (President, Treasurer and Secretary)

Required

Determine number of selection (if no restriction)

This is calculated using the following combination formula:

^nC_r = \frac{n!}{(n - r)!r!}

Where

n = 12

r= 3

So, we have:

^nC_r = \frac{n!}{(n - r)!r!}

^{12}C_3 = \frac{12!}{(12 - 3)!3!}

^{12}C_3 = \frac{12!}{9!3!}

^{12}C_3 = \frac{12*11*10*9!}{9!3!}

^{12}C_3 = \frac{12*11*10}{3!}

^{12}C_3 = \frac{12*11*10}{3*2*1}

^{12}C_3 = \frac{12*11*10}{6}

^{12}C_3 = 2*11*10

^{12}C_3 = 220\ ways

<em>There are 220 choices</em>

8 0
2 years ago
Write 1/4 as a decimal.
n200080 [17]

Answer:

0.25

Step-by-step explanation:

4 0
3 years ago
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Which systems of equations have infinite solutions
Zolol [24]
N3Y+7 can have infinate solutions
4 0
3 years ago
Please help! THE QUESTION IS IN THE PIC!
Kruka [31]

Answer:

-11 x + 19 thus c.) is your answer

Step-by-step explanation:

Simplify the following:

-5 + 4 (6 - 2 x) - 3 x

4 (6 - 2 x) = 24 - 8 x:

-3 x + 24 - 8 x - 5

Add like terms. 24 - 5 = 19:

-3 x - 8 x + 19

-8 x - 3 x = -11 x:

Answer:  -11 x + 19

8 0
3 years ago
Read 2 more answers
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