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Natalija [7]
2 years ago
9

What is the value of the expression shown? 4(-2) + (-10) + 3(-8)

Mathematics
1 answer:
Vlad [161]2 years ago
7 0

Answer:

-42

Step-by-step explanation:

1. 4(-2)

2. 3(-8)

3. -8 + -10 + -24

4. cobine like terms

5. -42

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PQ⊥PS , m∠QPR=7x−9, m∠RPS=4x+22<br> Find : m∠QPR
emmainna [20.7K]

Given:

It is given that,

PQ ⊥ PS and

∠QPR = 7x-9

∠RPS = 4x+22

To find the value of ∠QPR.

Formula

As per the given problem PR lies between PQ and PS,

So,

∠QPR+∠RPS = 90°

Now,

Putting the values of ∠RPS and ∠QPR we get,

7x-9+4x+22 = 90

or, 11x = 90-22+9

or, 11x = 77

or, x = \frac{77}{11}

or, x = 7

Substituting the value of x = 7 in ∠QPR we get,

∠QPR = 7(7)-9

or, ∠QPR = 40^\circ

Hence,

The value of ∠QPR is 40°.

3 0
3 years ago
The degree measure of an acute angle in a right triangle is x. If sinx=2/3, determine if each of the following expressions is al
leonid [27]
<h2> ☞ANSWER☜ </h2>

The right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees... The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse.

An acute angle is an angle that measures less than 90 degrees. A triangle formed by all angles measuring less than 90˚ is also known as an acute triangle. For example, in an equilateral triangle, all three angles measure 60˚, making it an acute triangle.

8 0
3 years ago
Javier had $305 in his bank account. His bank charges a fee of $7.50 each month that a balance is below $500. If he makes no oth
OleMash [197]
To find the fee for three weeks, we need to multiply the fee for one week by 3.
7.50 * 3 = 22.5
Subtract:
305 - 22.5 = 282.5
Javier will have $282.50
8 0
3 years ago
two passenger train traveling in opposite directions meet and pass each other. Each train is 1/18 miles long and is traveling at
xz_007 [3.2K]

9514 1404 393

Answer:

  5 seconds

Step-by-step explanation:

Suppose the front parts of the trains meet at point A. Since both are the same length and traveling the same speed, each will pass point A in time ...

  time = distance/speed

  time = (1/18 mi)/(40 mi/h) = (1/720 h) × (3600 s)/(1 h) = 5 s

That is, the rear part of each train will be at point A 5 seconds after the front part.

The rear parts will pass each other 5 seconds after the front parts meet.

6 0
3 years ago
You earn $9 per hour babysitting. This is $2 more than what you earned per hour last year. What did you earn last year?
slamgirl [31]
$7 is the correct answer for *per hour*, as 9-2=7. Notice how it says how much did you earn last year, implying total earned. How many hours did you work last year?
4 0
4 years ago
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