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3 years ago

Which of the following inequalities matches the graph?

Mathematics

1 answer:

Irina-Kira [14]3 years ago

6 0

Answer:

I think it is 2x-3y<7, also, I used a free program called Desmos to figure it out, in case you also want to.

Step-by-step explanation:

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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

What is the answer to this question?

andrey2020 [161]

Answer:

EF/IH and AD

Step-by-step explanation:

diameter is 2x radius

4 0

2 years ago

The circumference of the circle is 9.42 inches, What is the diameter of the circle?

Elena L [17]

EXPLANATION

Since the circumference of the circle is 9.42, we can get the diameter by applying the following relationship:

$Circumference=2\pi r=2\pi\frac{d}{2}=\pi d$

Isolating the diameter:

$Diameter=\frac{Circumference}{\pi}$

Plugging in the numbers:

$Diameter=\frac{9.42}{3.14}=3$

Therefore, the diameter is equal to 3 inches.

5 0

1 year ago

Jerry is a judge. He hears 555 cases every 2 3/8. Jerry hears cases at a constant rate. How many cases does he hear per hour?

Molodets [167]

About 2.1 cases so it maybe 2 full cases. Hope this helped!

7 0

3 years ago

What does x equal 2x+9=33

vesna_86 [32]

$2x+9=33\\
2x=24\\
x=12$

7 0

2 years ago