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3 years ago

The sum of four consecutive integers 130 what is the third number in the sequence

1 answer:

8 0

If x is the first number in the sequence, you can represent the next consecutive number using (x+1), the one after with (x+2), etc. We can set up an equation like this:

x + (x+1) + (x+2) + (x+3) = 130

This can be simplified to:

4x + 6 = 130

Now subtract 6 from each side:

4x = 124

Next we divide each side by 4:

x = 31

We have the first number in the sequence, but we need the THIRD number. Since we've already established that (x+2) would be the third number, we can just plug in x.

31 + 2 = 33

The third number in this sequence is 33.

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What is the value of y? Enter your answer in the box.

Cerrena [4.2K]

Y = 20 because both sides equal 25
180-50= 130
130-70=60
60/3= 20

7 0

2 years ago

How many triangles are there that satisfy the conditions a =13, b =9, A = 62°?

8_murik_8 [283]

Answer:

Step-by-step explanation:

Alright, lets get started.

Using sin Law,

$\frac{sinA}{a}=\frac{sinB}{b}$

Plugging the value of a, b and angle A

$\frac{sin62}{13}=\frac{sinB}{9}$

$sinB=\frac{9*sin62}{13}$

$sinB=\frac{9*0.8829}{13}$

$sinB=0.61127$

taking sin inverse on both sides

$B=sin^{-1}(0.61127) =37.68$

The may be another value of B that will called B' = $180-37.68=142.32$

We will not consider this B' value because the um of angle B' and A will exceeds 180 degree ( $142.32+62=204.32$ )

Thats why only one triangle is possible. : Answer

Hope it will help :)

5 0

3 years ago

Carlos is using a number line to add another integer to –4. He begins by showing –4 on the number line, as shown below. Carlos a

Serhud [2]

I had the same question on my quiz
The answer is that The number could be 3 or any integer less than 3.

7 0

3 years ago

Read 2 more answers

NEEDs HELP AB ⊥ AC true or false idk i think it's false

jonny [76]

Perpendicular means the slopes are opposite inverse of each other
If line a is slope 2, the perpendicular line to Line a would have a slope - 1/2
Difference in y over difference in x gives slope. If they are opposite inverse values the lines are perpendicular. ( in this case the answer is true.)

4 0

3 years ago

Put these points into an equation IN STANDARD FORM!!!!!! (0,2) and (8,0)

zubka84 [21]

The equation of the line in standard form is x + 4y = 8

<h3>How to determine the line equation?</h3>

From the question, the points are given as

(0, 2) and (8, 0)

To start with, we must calculate the slope of the line

This is calculated using

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (0, 2) and (8, 0)

Substitute the known parameters in Slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

Slope = (0 - 2)/(8 - 0)

Evaluate

Slope = -1/4

The equation of the line can be calculated using as

y - y₁ = m(x + x₁)

Where

(x₁, y₁) = (0, 2)

and

m = slope = -1/4

Substitute the known values in the above equation

So, we have the following equation

y - 2 = -1/4(x - 0)

This gives

y - 2 = -1/4x

Rewrite as

1/4x + y = 2

Multiply by 4

x + 4y = 8

Hence, the line has an equation of x + 4y = 8