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3 years ago

The sum of a number and 8 is 15

2 answers:

3 0

You mean, what is this number?

we can rephrase it like this: the sum of a number x and 8 is 15

which is:

x+8=15

we subtract 8 from both sides and we get
x=7

so the answer is 7.

densk [106]3 years ago

3 0

Let the missing number be known as 's'

s + 8 = 15

Subtract 8 from both sides of the equation.

s + 8 = 15
-8 -8
---------------------
s = 7.

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PQ has endpoints P(-3,2) and Q(3,-2). Find the coordinates of the midpoint of PQ

hodyreva [135]

Answer:

(0,0)

Step-by-step explanation:

For this, you need to use the midpoint formula.

(-3) + 3 2 + (-2)

-------------- , ----------------

2 2

This leads to:

-3 + 3 = 0 -> 0/2

x = 0

3 + (-3) = 0 -> 0/2

The answer is:

(0, 0)

6 0

1 year ago

This question is from the similarity chapter. It would be really kind of you if you would answer this question.

katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

<u>1) Determine what is required for the answers</u>

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

<u>2) Prove similarity</u>

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

Angles AYX and ACB are corresponding and they both measure 90 degrees
Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

<u>3) Solve for part A</u>

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

$\frac{XY}{BC}=\frac{AY}{AC}$

Plug in known values

$\frac{2}{300}=\frac{11}{AC}$

Cross-multiply

$2AC=11*300\\2AC=3300\\AC=1650$

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

<u>4) Solve for part B</u>

To find the length of AB, we can use the Pythagorean theorem:

$a^2+b^2=c^2$ where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

$300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c$

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

3 0

3 years ago

Can someone please help me i have no one to help me

GREYUIT [131]

It is an acute triangle because none of its angles are equal to (right) or above (obtuse) 90 degrees.

6 0

3 years ago

Read 2 more answers

Write these numbers in standard form

sertanlavr [38]

Answer:

1. 2 × 10⁵

2. 8 × 10⁴

3. 9 × 10⁸

4. 1 × 10¹⁰

Step-by-step explanation:

3 0

3 years ago

Write the sentence as a conditional statement. Two parallel lines lie in the same plane. If two lines are parallel, then the lin

olga nikolaevna [1]

<h2>Answer:</h2>

The conditional statement is:

If two lines are parallel then they lie in the same plane.

<h2>Step-by-step explanation:</h2>

We know that a conditional statement is the statement which is written in the form of:

If p then q i.e. p → q

where p is the hypothesis of the statement.

and q is the conclusion of the statement which is based on the hypothesis.

Here we are given a statement as:

Two parallel lines lie in the same plane.

i.e. the hypothesis of the conditional statement is:

Two lines are parallel.

and conclusion is: They will lie in the same plane

( Because if two lines lie in the same plane then we can't conclude that they will be parallel )

6 0

3 years ago