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3 years ago

Please answer fast this is a test question

Mathematics

1 answer:

pishuonlain [190]3 years ago

4 0

Answer:

Step-by-step explanation:

We can actually make the two equal each other like so:

3d-4=12d/6

Multiply both sides by 6:

18d-24=12d

Add 24 to both sides:

18d=12d+24

Subtract 12d from both sides:

6d=24

Divide by 6:

d=4

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after school, maurice walks 1/3 mile to the park and then walks 1/2 mile to his house. how far does maurice walk from school to

sergeinik [125]

Let
x-----> distance school to the park
y-----> distance park to the house

we know that
x=1/3 mile
y=1/2 mile

[distance from school to the house]=x+y----> (1/3+1/2)
The common denominator is (3*2)---> 6
=(2*1+3*1)/(3*2)----> 5/6 mile

the answer is
5/6 miles

4 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

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

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

Verify each statement

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

Hi. I need help wih this question (see image). Please show workings.

Kipish [7]

Answer:

$\frac{dy}{dx}$ = 12x³ - 6x² - 7

Step-by-step explanation:

Differentiate each term using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$

Given

y = 3 $x^{4}$ - 2x³ - 7x + 5, then

$\frac{dy}{dx}$ = 4.3 $x^{4-1}$ - 3.2 $x^{3-1}$ - 7 $x^{1-1}$ + 0

= 12x³ - 6x² - 7

4 0

3 years ago

What is the y-intercept of the line?

kramer

Answer:

the y intercept would be 4 pr (0,4)

6 0

2 years ago

Read 2 more answers

2.2.4 quiz exterior and remote interior angles PLEASEEEE

Sloan [31]

Answer:

Option (A)

Step-by-step explanation:

By applying the theorem angle theorem in the given triangle,

Sum of exterior angle of a triangle is equal to the sum of opposite interior angles of the triangle.

Therefore, 130° = y° + y°

130° = 2y°

y = $\frac{130}{2}$

y = 65°

Therefore, measure of interior angles 'y' of the given triangle will be 65°.

Option (A) will be the answer.

8 0

4 years ago