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2 years ago

Find a measure of each angle indicated

Mathematics

2 answers:

jekas [21]2 years ago

7 0

Answer:

127 degrees

Step-by-step explanation:

These are corresponding angles,

First, number the angles

There should be 8.

The angle where it has 127 degrees is angle no.2 which is exterior

The angle where the question mark is angle no.6

So the answer is 127 because angle 2 corresponds with 6,

Here is also a helpful key for corresponding angles:

Angles 2 and 6 Correspond

Angles 1 and 5 correspond

Angles 3 and 7 correspond

Angles 4 and 8 correspond

They shall be equal

Notes they are the same obtuse angle too!

mash [69]2 years ago

6 0

Answer:

127 degrees.

Step-by-step explanation:

These angles are corresponding angles so they have the same measurement.

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How do I find the equation of the perpendicular bisector between (-2,5) and (2,-1)?

Arturiano [62]

Answer:

$y = \frac{2}{3} x + 2$

Step-by-step explanation:

Start by finding the slope of the given line.

$\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }$

Slope of given line

$= \frac{5 - ( - 1)}{ - 2 - 2}$

$= \frac{5 + 1}{ - 4}$

$= \frac{6}{ - 4}$

$= - \frac{3}{2}$

A perpendicular bisector cuts through the line at its midpoint perpendicularly.

The product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

$- \frac{3}{2} m = - 1$

$m = - 1 \div ( - \frac{3}{2} )$

$m = - 1 \times ( - \frac{2}{3} )$

$m = \frac{2}{3}$

$y = \frac{2}{3}x + c$ , where c is the y-intercept.

To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.

$\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}$

Midpoint of given line

$= ( \frac{ - 2+ 2}{2} , \frac{5 - 1}{2} )$

$=( \frac{0}{2} , \frac{4}{2} )$

= (0, 2)

$y = \frac{2}{3} x + c$

When x= 0, y= 2,

2= ⅔(0) +c

2= 0 +c

c= 2

Thus, the equation of the perpendicular bisector is $y = \frac{2}{3} x + 2$ .

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2 years ago

ted says that 3 tenths multiplied by 100 equals 300 thousands. is he correct? Use place value chart to explain your amswer

Anna35 [415]

Yes he is correct because if he multiply 3by 100 equals it equals 300 thousands

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2 years ago

Read 2 more answers

e is a math tutor. She charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour. When the nu

dmitriy555 [2]

Part 1 :
if the number of hours (h) is greater than 7.
Equation for the amount(A) in dollar is
Amount (A) = 210 + (h-7)x20

Part 2 :
if she earns 410,
with the same equation
410 = 210 + (h-7)x 20
200 =(h-7)x 20
10 = h-7
17 = h
therefore, number of hours tutored is 17.

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2 years ago

What is the equation of the inverse function A(n)=3n-20

Allisa [31]

Answer:

$A^{-1}(n)=\frac{1}{3}n+\frac{20}{3}$

Step-by-step explanation:

First, let's change those variables to x and y, just for the sake of convenience. In order to find the inverse of a function algebraically, switch the x and y coordinates, then solve for the new y. Letting y = A(n) and x = n (we will switch them back when we're done):

y = 3x - 20. This is linear; a line with a slope of 3 and a y-intercept of -20. When we switch the x and the y, we get:

x = 3y - 20. Now we solve for the new y. Begin by adding 20 to both sides:

x + 20 = 3y. Now divide both sides by 3:

$\frac{x+20}{3}=y$ , or to write it in slope-intercept form, like the function you started with: