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3 years ago

What is the value of x

Mathematics

1 answer:

Goryan [66]3 years ago

5 0

Answer:

Step-by-step explanation:

Those angles are the same so you can put them in an equation like this:

x + 60 = 4x

Then you subtract x from both sides to get variables on one side and constants on the other:

60 = 3x

Now divide by three to find what just x is:

20 = x

And there you go <3

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The slope of a line equals the “run over the rise.”<br> True or false

GalinKa [24]

Answer:

False

Step-by-step explanation:

The slope of a line is

Change in y over change in x

This is also known as rise over run

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3 years ago

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Eliminate the arbitrary constant in the equation of xsiny+x^2(y)

vladimir1956 [14]

Answer:

siny2

Step-by-step explanation:

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3 years ago

What is the volume of the following triangular prism?

Eva8 [605]

Answer:

$V=150cm^3$

Step-by-step explanation:

First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.

The area of the triangle is given by the formula:

$A_T=\frac{bh}{2}$

where b is the base: $b=4cm$ and h is the height: $h=5cm$

thus, in this case we have:

$A_T=\frac{(4cm)(5cm)}{2}\\ \\A_T=\frac{20cm^2}{2} \\\\A_T=10cm^2$

And now, the volume will be the area of the triangle multiplied by the length $l=15cm$ of the prism:

$V=A_T*l$

Substituting the known values:

$V=10cm^2*15cm\\V=150cm^3$

The volume in cubic centimeters is 150.

4 0

3 years ago

Help me out please T-T

Anettt [7]

Answer:

The simplyfied version would be 19/4

Show of work:

(1/4)^-2 = 4^2

3 × 8^2/3 × 1 = 12

(9/16)^1/2 = 3/4

4^2 - 12 + 3/4

Convert elements to fractions:

-12 × 4 + 3

---------- ----

4 4

Since the denominators are equal combine the fractions:

-12 × 4 + 3

---------------

-12 × 4 + 3 = -45

= -45/4

=4^2 - 45/4

4^2 = 16

16 - 45/4

16 × 4 - 45. 16 × 4 - 45

--------- ----- ----------------

4 4. 4

-> 16 × 4 - 45 = 19

= 19/4

7 0

2 years ago

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Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer

Firlakuza [10]

Answer: ŷ = 0.07X + 5.2

Step-by-step explanation:

Given the following :

Number of citations 5 - 7.5 - 10 - 15 - 20

Outputs Residuals 3 - - 6 - - 10 - 5 - - 6

Using the online regression calculator :

Line of best fit is represented by the equation:

ŷ = 0.06897X + 5.2069

ŷ = 0.07X + 5.2

From the line equation:

y = mx + c

With 0.07 = slope of gradient(m)

Intercept (c) = 5.2 (point where the line of best fit intersect the y_axis

x and y are values of x and y respectively

8 0

3 years ago