<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B91%20%2B%209%7D%20" id="TexFormula1" title=" \sqrt{91 + 9} " alt=" \sqrt{91 + 9}

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slamgirl [31]

2 years ago

" align="absmiddle" class="latex-formula">
need help please

Mathematics

1 answer:

Ann [662]2 years ago

7 0

You would add 91+9 and you would get 100. You would then square root the 100 and get 10

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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

Mrs.Anderson bought 4.3 pounds of bananas at 0.80 a pound and 2.1 pounds of grapes at 2.50 a pound. How much money Did Mrs.Ander

cupoosta [38]

Hi there! Bananas are sold at $0.80 per pound and grapes are sold at $2.50 per pound. To find out how much Mrs. Anderson spent overall, we need to find out how much she spent with each item and then add them up together. She bought 4.3 pounds of bananas and 2.1 pounds of grapes. Let's multiply each of them by the unit prices there are. 4.3 * 0.8 is 3.44 and 2.1 * 2.5 is 5.25. 3.44 + 5.25 is 8.69. There. Mrs. Anderson spent a total of $8.69.

8 0

3 years ago

Helllppppp can’t find the answer!!!

alukav5142 [94]

Slope of a line can be determined using this formula
m = (y₂ - y₁) / (x₂ - x₁)

From the question, we know that
(x₁,y₁) = (2,-3)
(x₂,y₂) = (2,9)

plug the numbers into the formula
m = (y₂ - y₁) / (x₂ - x₁)
m = (9 - (-3)) / (2 - 2)
m = (9 + 3) / (2 - 2)
m = 12/0
m = undefined
The pairs must form a vertical line

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Which of the following groups are like terms?

Mice21 [21]

Answer:

We need the groups

Step-by-step explanation:

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