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3 years ago

Find the value of x.

Mathematics

1 answer:

Lilit [14]3 years ago

5 0

Answer: 26.5

Step-by-step explanation:

You can turn the second half of the shape into a right triangle, which has 180 degrees. With the right angle, you can set the two angles up to 90 degrees.

x + (3x-16) = 90

4x - 16 = 90

+ 16 + 16

4x = 106

/ 4 / 4

x = 26.5

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How do i do this???????????????????????????????????

Karo-lina-s [1.5K]

Answer:

The y-intercept is (0, -6).

Step-by-step explanation:

The question is asking you to find the equation of the line that passes through the point (7, 1) and is parallel to line j, which means that the line has the same slope as line j.

To find the slope of line j, you would use the slope formula: $\frac{y_2-y_1}{x_2-x_1}$ .

Use the points on line j: (4, 1), (-3, -6). Substitute in -6 for $y_2$ and 1 for $y_1$ . Substitute -3 for $x_2$ and 4 for $x_1$ .
$\frac{(-6)-(1)}{(-3)-(4)} \rightarrow \frac{-7}{-7} = 1$
The slope of line j is 1, therefore the equation of the line we are writing will also have a slope of 1 since they must be parallel.

To write the equation of the line, use the point-slope formula because we are given the two things in the name of the formula---a point that the line passes through (7, 1) and the slope of the line (1).

Point-slope form is $y-y_1=m(x-x_1)$
Substitute 1 for $y_1$ , 1 for m, and 7 for $x_1$ .
$y-(1)=1(x-(7))$
Simplify: y - 1 = 1(x - 7)
Distribute 1 inside the parentheses.
y - 1 = x - 7
Add 1 to both sides of the equation.
y = x - 6

The question wants you to find the y-intercept of the equation. To find the y-intercept, make x = 0.

y = (0) - 6
Subtract 0 - 6.
y = -6

A point is shown as (x, y). We made x = 0 and found that y = -6, so if you substitute these values into (x, y) the y-intercept will be (0, -6).

5 0

4 years ago

Layla read 1 book in 4 months. What was her rate of reading, in books per month? Give your answer as a whole number or a FRACTIO

kirza4 [7]

Answer:

1/4

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The line represented by the equation 4y + 2x = 33.6 shares a solution point with the line represented by the table

mamaluj [8]

Answer:

The solution of this system is

(4). (6.0,5.4)

Step-by-step explanation:

First we have to find the equation of the line represented in the table; for that we have to find it's slope $m$ and it's y-intercept $b$ and then write it in the following form:

$y=mx+b$

The slope $m$ of the line we get from first two points:

$m=\frac{3.8-3.2}{(-2)-(-5)} =0.2$

thus we have

$y=0.2x+b$

we find $b$ by putting the point $(2,4.6)$ into the function:

$4.6=0.2(2)+b$

$b=4.6-0.4=4.2$

Thus we have

$y=0.2x+4.2$

Now we have to find where this line intersects with $4y+2x=33.6$ ; to do this we just substitute $y$ with $y=0.2x+4.2$ :

$4(0.2x+4.2)+2x=33.6$

$0.8x+16.8+2x=33.6$

$\boxed{x=6 }$

<em>We have the x-coordinate of the intersection.</em>

We find the y-coordinate by substituting $x=6$ into $y=0.2x+4.2$ :

$y=0.2(6)+4.2=5.4$

$\boxed{y=5.4}$

Thus the solution to the system is

$\boxed{(x,y)=(6, 5.4)}$

which is option 4.

4 0

3 years ago

3(2x+1)=21 <br> Solve this multi-step equation using the distributive property

Tasya [4]

3 (2x + 1) = 21
6x + 3= 21
-3 -3
6x = 18

Divide each side by 6, and x equals 3.

3 (2(3) + 1) = 21
3 (6 + 1) = 21
18 + 3 = 21

Hope this helps! Can I please have brainliest so I can level up? Thank you!

7 0

3 years ago

What’s the midpoint?

katen-ka-za [31]

Answer:

the midpoint of (8, -9) and (0,5) is (0+8/2,5-9/2)

5 0

4 years ago