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3 years ago

11

Hey truck can be rented from company a for $110 A day plus $.20 per mile. Company B charges $70 a day plus $.40 per mile to rent

the same truck find the number of miles in a day at which the rental cost of company K and Company B are the same.

1 answer:

choli [55]3 years ago

7 0

At 200 miles, both company K and company B will pay $150.

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In a classroom of students 3 out of 5 students are boys. If the total amount of students is 35 how many students are boys. Pleas

Bumek [7]

Answer:

there is 21 boys

Step-by-step explanation:

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3 years ago

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ss7ja [257]

Answer:

21.5?

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3 years ago

To the nearest degree what is the measure of each exterior angle of a regular dodecagon

malfutka [58]

Answer:

$30^{\circ}$

Step-by-step explanation:

We are asked to find the measure of each exterior angle of a regular dodecagon.

We know that a regular dodecagon is a 12 sided regular polygon with each side equal.

We know that measure of each angle of n-sided regular polygon can be found using formula:

$\text{Each exterior angle}=\frac{360^{\circ}}{n}$

Upon substituting $n=12$ in above formula, we will get:

$\text{Each exterior angle of a regular dodecagon}=\frac{360^{\circ}}{12}$

$\text{Each exterior angle of a regular dodecagon}=30^{\circ}$

Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.

3 0

3 years 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

so

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

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

so

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

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

4 years ago

Simplify the expression 0.032 ÷ (8 × 10^-2)

Allisa [31]

$\frac{0.032}{8\times10^{-2}} = \frac{0.032}{0.08} = 0.4$

Your answer is 0.4

3 0

3 years ago