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2 years ago

20 points!! What are the next three terms of the arithmetic sequence -18, -13, -8, -3,…?

Mathematics

2 answers:

GarryVolchara [31]2 years ago

4 0

Answer:

3, 8, 13, 18

Step-by-step explanation:

Novosadov [1.4K]2 years ago

3 0

I think the pattern goes plus five each time so the next three numbers would be 2, 7, 12

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Jacadi is setting up a tent. Each section of a tent pole is

Ghella [55]

Answer:

12 feet

Step-by-step explanation:

know that 4 sections =1 tent pole
1 yard = 3 feet
multiply the number of sections (4) by their length (3)
12 feet equal 1 tent pole
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3 years ago

One equation in a system is y=3x+7. Which equation gives the system no solution

atroni [7]

Answer:

Step-by-step explanation:

Because I know how to do it

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1 year ago

Read 2 more answers

Graph the function, identify if it represents exponential growth or decay, and identify domain and range. See picture

Brrunno [24]

Answer:

a. Decay

b. 0.5

c. 4

Explanation:

If we have a function of the form

$y=ab^x$

then

a = intital amount

b = growth / decay rate factor

x = time interval

If b > 1; then the equation is modelling growth. If b < 0, then the equation is modelling decay.

Now in our case, we have

$y=4(\frac{1}{2})^x$

Here we see that

inital amount = a = 4

b = 1/ 2 < 0, meaning the function is modeling decay

decay factor = b = 1/2

Therefore, the answers are

a. Decay

b. 0.5

c. 4

4 0

8 months ago

Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

<u><em>Verify each statement</em></u>

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

6 0

3 years ago

Real world linear equation

Andru [333]

Answer: 3 toys

Step-by-step explanation:

Equation: 60-5t=45

Solving: 5t=60-45

5t=15

t=3

3 0

2 years ago