Given that the measure of ∠x is 110°, and the measure of ∠y is 59°, find the measure of ∠z.

Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-3,5) and parallel to x + 4

Dmitry [639]

Answer:

$\boxed{\sf Standard-form :x + 4y -17=0 }\\$

$\boxed{\sf Slope-intercept\ form :y =\dfrac{-1}{4}x +\dfrac{17}{4}}$

Step-by-step explanation:

Here a equation of the line is given to us and we need to find out the equation of line which passes through the given point and parallel to the given line , the given equation is ,

$\longrightarrow x + 4y = 7\\$

Firstly convert it into slope intercept form of the line which is y = mx + x , as ;

$\longrightarrow 4y = -x + 7 \\$

$\longrightarrow y =\dfrac{-x}{4}+\dfrac{7}{4}\\$

On comparing it to y = mx + c , we have ,

$\longrightarrow m =\dfrac{-1}{4}\\$

$\longrightarrow c =\dfrac{7}{4}\\$

Now as we know that the slope of two parallel lines is same . Therefore the slope of the parallel line will be ,

$\longrightarrow m_{||)}=\dfrac{-1}{4}\\$

Now we may use point slope form of the line as ,

$\longrightarrow y - y_1 = m(x-x_1) \\$

On substituting the respective values ,

$\longrightarrow y - 5 =\dfrac{-1}{4}\{ x -(-3)\}\\$

$\longrightarrow y -5=\dfrac{-1}{4}(x+3)\\$

$\longrightarrow 4(y -5 ) =-1(x +3) \\$

$\longrightarrow 4y -20 = - x -3 \\$

$\longrightarrow x + 4y -20+3=0\\$

$\longrightarrow \underset{Standard \ Form }{\underbrace{\underline{\underline{ x + 4y -17=0}}}} \\$

Again the equation can be rewritten as ,

$\longrightarrow y - 5 = \dfrac{-1}{4}(x +3) \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{3}{4}+5 \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{20-3}{4} \\$

$\longrightarrow \underset{Slope-Intercept\ form }{\underbrace{\underline{\underline{ y =\dfrac{-1}{4}x +\dfrac{17}{4}}}}}\\$

6 0

2 years ago

Which formula should be used to find the midpoint of EF?

Maru [420]

Answer:

You would use the midpoint formula.

Step-by-step explanation:

5 0

3 years ago

ASAP. Can someone help me find the percentage of these please, I can't figure it out. (Pic below)

atroni [7]

Answer:

Interphase: 55.56%

Prophase: 27.78%

Metaphase: 8.33%

Anaphase: 5.56%

Telophase: 2.78%

Step-by-step explanation:

All you need to do is follow the instructions. To get the percentage, all you need to do is divide the part by the whole then multiply it by 100%.

$\dfrac{Part}{Whole}\times 100\%$

Now let's take your problem:

Number of cells in interphase:

20 this is the part and the whole would be the total cells, which is 36. Now we insert that into our equation:

$\dfrac{20}{36}\times 100\%=0.5556\times100\%=55.56\%$

So now we apply the same to the rest:

Prophase:

$\dfrac{10}{36}\times 100\%=0.2778\times100\%=27.78\%$

Metaphase:

$\dfrac{3}{36}\times 100\%=0.0833\times100\%=8.33\%$

Anaphase:

$\dfrac{2}{36}\times 100\%=0.0556\times100\%=5.56\%$

Telophase:

$\dfrac{1}{36}\times 100\%=0.0278\times100\%=2.78\%$

4 0

3 years ago

3 divide by 5.262 need help. I dont remember this math. I'm stuck.

frez [133]

This is just a simple division problem :)

5.262 ÷ 3 = 1.754

(Remember the bigger number always goes first when dividing)

Hope this helps

-AaronWiseIsBae

5 0

3 years ago

Read 2 more answers

What are the properties of rotations?

11Alexandr11 [23.1K]

Rotations move lines to lines, rays to rays, segments tosegments, angles to angles, and parallel lines to parallel lines, similar to translations and reflections. Rotations preservelengths of segments and degrees of measures of anglessimilar to translations and reflections.

6 0

3 years ago

Read 2 more answers