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3 years ago

Seven more than the cube of a number is what

Mathematics

1 answer:

zloy xaker [14]3 years ago

7 0

7+x^3. It cannot be simplified further without knowing the value of x

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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

4 years ago

50th term of 7,5,3,1

Dovator [93]

7, 5, 3, 1 is an arithmetic sequence with common difference (d) = -2 and first term (a) = 7.
Tn = a + (n -1)d
T50 = 7 + (50 - 1) x -2 = 7 + 49 x -2 = 7 - 98 = -91

50th term = -91

3 0

3 years ago

How can you create an equivalent equation that looks different than the

NeX [460]

Answer:

You would keep the same slope but a different y-int I'm pretty sure.

6 0

3 years ago

7.67 x 10 by the power of 2

Vedmedyk [2.9K]

Answer:

767

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A park in a subdivision has a triangular shape. Two adjacent sides of the park are

Vlada [557]

Answer:

133,371

Step-by-step explanation:

b times h divided by 2

522 x 511 x 1/2 = 133,371

5 0

3 years ago