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GrogVix [38]
3 years ago
12

A student wanted to find the sum of all the even numbers from 1 to 100. He said:

Mathematics
1 answer:
kondaur [170]3 years ago
5 0

Answer: 2,450

Step-by-step explanation:

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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
.
Anuta_ua [19.1K]
Lets say you have 5 apples, but the you give away 3 of them.
To work how many you have left you take away.
5-3 = 2

Lets apply this with fractions now.
You have 9/7 yard, but then you give away 7/20 yard.
Now you take them away:
9/7 minus 7/20 = 131/140

Hope this helps :)
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8 0
3 years ago
Write an equation in slope-intercept form for each line.<br> (4,-1) and (-2,-1)
professor190 [17]

With each line, a slope-intercept relationship (4,-1) and (-2,-1).

Y = 0 ,X = 5.

<h3>What is slope-intercept form?</h3>

The slope-intercept form is just a means of stating a line's equation so that both the slope (steepness) as well as y-intercept (where another line crosses this same vertical y-axis) are obvious. This expression is frequently referred to as y = mx + b.

<h3>According to the given information:</h3>

To begin, are using the slope formula to figure out the average slope between two points here.

Let:

x1 = 4

y1 = -1

x2 = -2

y2 = -1

m = (y2-y1)/(x2-x1)

= (-1 - (-1))/ (4-(-1))

= 0/5

= 0

So the slope is 0.

We must now calculate the y-intercept. This will be accomplished by converting a single of the points and also the slope together into a point-slope linear equation. y2-y1 = m(x2-x1).

Let’s plug in the point (5,0).

So we get y-(-0) = (0/5)(x-(-5)) ⇒  y+0

= (0/5)x +  0 ⇒  y

So,

Y = 0

X = 5

with each line, a slope-intercept relationship (4,-1) and (-2,-1).

Y = 0 ,X = 5

To know more about slope-intercept visit:

brainly.com/question/19824331

#SPJ4

3 0
1 year ago
The Clark family and the Lee family each used their sprinklers last summer. The water output rate for the Clark family's sprinkl
SpyIntel [72]
Each where used for 25 hours
6 0
3 years ago
Read 2 more answers
Solve 5x + 14 = k for x​
Zepler [3.9K]

Answer:

x = 1/5(k-14)

Step-by-step explanation:

5x + 14 = k

Subtract 14 from each side

5x+14-14 = k-14

5x = k-14

Divide by 5

5x/5 = 1/5(k-14)

x = 1/5(k-14)

7 0
3 years ago
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