consider the figure below

given
m || n
m∠2=3x+53
m∠7=7x-55

what is m∠8?

Consider The Figure Belowgiven M || Nm2=3x+53m7=7x-55what Is M8?

Answers

Answer 1

Answer:

m<8 = 46°

Step-by-step explanation:

m<2 = m7 (alternate exterior angles are congruent)

Substitute

3x + 53 = 7x - 55

Collect like terms

3x - 7x = -53 - 55

-4x = -108

Divide both sides by -4

-4x/-4 = -108/-4

x = 27

m<8 + m<7 = 180° (linear pair angles)

Substitute

m<8 + 7x - 55 = 180°

Plug in the value of x

m<8 + 7(27) - 55 = 180

m<8 + 189 - 55 = 180

m<8 + 134 = 180

Subtract 134 from each side

m<8 = 180 - 134

m<8 = 46°


Related Questions

Write a linear equation in two variables to represent the following statement
"the number of Red balls is half the number of the Blue ones"​

Answers

Answer:

y = x/2

Step-by-step explanation:

Let y represent the number the number of red balls and let x represent the number of blue balls. Since we have that the number of Red balls is half the number of the Blue ones, and the number of red balls equals x, we divide x by 2. So, x/2.

Since x/2 is equal to the number of blue balls and y is the number of blue balls, we write y = x/2.

So, our linear equation in two variables that represents "the statement the number of Red balls is half the number of the Blue ones"​ is

y = x/2

Write the equation in slope-intercept form in each line based on the information give
The line contains the points
(1,-2)and(2,4)

Answers

Answer:

y= 6x -8

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

[tex]\boxed{gradient = \frac{y1 - y2}{x1- x2} }[/tex]

Gradient

[tex] = \frac{4 - ( - 2)}{2 - 1} [/tex]

= 6

y= 6x +c

To find the value of c, substitute the equation with a pair of coordinates.

When x= 1, y= -2,

-2= 6(1) +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the line is y= 6x -8.

Please help me! That would be great if you can.

Answers

Answer should be 3 I’m pretty sure
Yup its pretty much 3

What is the value of 9/10 divided by 1/5?

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{9}{10} \div \dfrac{1}{5}}[/tex]

[tex]\mathsf{= \dfrac{9}{10}\times\dfrac{5}{1}}[/tex]

[tex]\mathsf{= \dfrac{9\times5}{10\times1}}[/tex]

[tex]\mathsf{9 \times 5 = \boxed{\bf 45} \ (numerator)}[/tex]

[tex]\mathsf{10\times 1 = \boxed{\bf 10} \ (denominator)}[/tex]

[tex]\mathsf{= \dfrac{45}{10}}[/tex]

BOTH NUMBERS HAVE the  GCF (Greatest Common Multiple) of 5, so we are going to DIVIDE BOTH THE NUMERATORS by 5

[tex]\mathsf{= \dfrac{45\div5}{10\div5}}[/tex]

[tex]\mathsf{45\div 5 = \boxed{\bf 9} \ (numerator)}[/tex]

[tex]\mathsf{10 \div 5 = \boxed{\bf 2} \ (denominator)}[/tex]

[tex]\mathsf{= \dfrac{9}{2}}[/tex]

CONVERT YOUR CURRENT FRACTION to a MIXED NUMBER

[tex]\mathsf{= 4\dfrac{1}{2}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 4 \dfrac{1}{2}}\large\text{ \bf or }\mathsf{\bf \dfrac{9}{2}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which is the correct answer!!!

Answers

Answer:

the answer is the alphabet a

ILL GIVE BRAINLIEST!! Find y. Give your answer in
the simplest form.
45°
y = [?]

Answers

Answer:

y = 2

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = ([tex]\sqrt{2}[/tex] )² = 2

Does this app actually work for ya'll????​

Answers

Answer:

Yessssss!

Step-by-step explanation:

Answer:

yess!! look up your question before you ask it :))))

thx for the points too hehe

Mr. Cox filled up his car with gas yesterday. He paid $24 for 6 gallons of gas.
How much would 10 gallons of gas cost?

Answers

Answer:

40 gallons of gas

Step-by-step explanation:

pls help
Factor out the GCF
16x - 48

Answers

Answer:

16

Step-by-step explanation:

the greatest common factor of 16 and 48 is 16

Factors for 16: 1, 2, 4, 8, and 16.

Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

identify the precision unit for the measuring tool below​

Answers

The answer is 0.1 cm

the dimensions of a lawn shaped like a trapezoid are given in meters. what is the area of the lawn in square meters?6m, 3m, 5m, 14m

Answers

Answer:

the answer is 14m

Step-by-step explanation:

sorry Kung Hindi Tama aNg sagot.piro Sana makatolong

the function f is given by f(x) = (x - 6)(x - 2). Multiply out the factors using the area model or distributive property. What expression do you get

Answers

x^2-8x+12, hope this helps

If p and q vary inversely and p is 9 when q is 16, determine q when pis equal to 18.​

Answers

Answer:

[tex]p \: \alpha \: \frac{1}{q} \\ p = \frac{k}{q} \\ k \: is \: a \: constant \: of \: proportionality \\ when \: p \: is \: 9.. \: \: q = 16 \\ 9 = \frac{k}{16} \\ k = 144 \\ when \: p \: is \: 18 : \\ 18 = \frac{144}{q} \\ q = \frac{144}{18} \\ q = 8[/tex]

The graph of f(x) = |x – h| + k contains the points (–6, –2) and (0, –2). The graph has a vertex at (h, –5). Describe how to find the value of h. Then, explain how this value translates the graph of the parent function.

Answers

Answer:

ty

Step-by-step explanation:

mtj

Please help me this should be easy for y'all thanks

Answers

Answer:

20

Step-by-step explanation:

84784+24849+748429+123456

Answers

Answer:

981,518

Step-by-step explanation:

Have a nice day :)

Use the tree diagram below to answer the question how many outcomes are there that contain blue shirts

Answers

3 because there is only small medium and large

Answer:

3

Step-by-step explanation:

i got it right on my test

Factor the expression x^2+6x+8

Answers

This is not the real answer but 3 to the power of 3 is 27 not 9

Which transformation is a translation?

Answers

Answer:

i don't know but o o o o right e o right e auto park

Answer:

4234324tgfgdfgdgd

Step-by-step explanation:

Get–Around Cab Company charges $2.50 upon entry and $2 per mile. Write the function that represents the cost C of a ride of m miles. C(m) = m +

Answers

Answer:

C(m) = 2.50 + 2m

Step-by-step explanation:

The fixed charge = charge per entry = $2.50

Charge per mile = $2

Function which represents the cost of a ride of m miles ;

Cost for m miles, C(m)

C(m) = charge per entry + cost per mile * number of miles

Where, number of miles = m

C(m) = 2.50 + 2m

Answer:

C(m) =2  m + 2.5

Step-by-step explanation:

I DID IN ED

Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original lie segment?

Answers

Answer:

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Step-by-step explanation:

Here are the steps I think you probably will go through.

1. Draw a line that is longer than the segment but shorter than the width of the page.

1a. Make sure this line is  at least 1/2 inch from the left hand side.  

2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.

3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.

The key step either two or three.The steps to copy a line segment are given below:

1. Lets start with a line segment AB that we have to copy.

2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so as the compass width is equal to length of AB.

5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Andrea's family stopped at the gas station to get gas. At gas stations, the price of gas per gallon is given to the nearest thousandth. In order to determine how much money he would need to pay for the gas, Andrea's dad asked her to round the price of gas per gallon to the nearest hundredth.

The gas price per gallon rounded to the nearest hundredth was $2.50. Which of the following prices could have been the original gas price?

$2.493
$2.505
$2.509
$2.498

Answers

Answer:

$2.498

Step-by-step explanation:

find the centre and radius for this circle , x^2+y^2=25

Answers

Answer:

centre = (0, 0 ), radius = 5

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 25 ← is in this form

with centre = (0, 0 ) and r = [tex]\sqrt{25}[/tex] = 5

Two sides of a triangle are perpendicular. If the two sides are 8cm and 6cm, calculate correct to the next degree, the smallest angle of the triangle. (A)35° (B)36° (C)37° (D)38° (E)53°​

Answers

[tex]\boxed{Given:}[/tex]

Length of the perpendicular ( opposite ) = 6 cm.

Length of the base ( adjacent ) = 8 cm.

[tex]\boxed{To\:find:}[/tex]

The smallest angle of the triangle.

[tex]\boxed{Solution:}[/tex]

[tex]\sf\purple{C.\:37°}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

In a right-angled triangle, if two sides are given, the measure of the unknown angle can be known.

Since the value of opposite and adjacent sides are given, we use the tangent formula.

tan θ = [tex]\frac{opposite}{adjacent}[/tex]

✒ tan θ = [tex]\frac{6 \: cm}{8 \: cm}[/tex]

✒ θ = [tex]{tan}^{ - 1}[/tex] (0.75)

✒ θ = 36.9°

✒ θ = 37°

Now let us find the other unknown angle 'x'.

We know that,

Sum of angles of a triangle = 180°

✒ 37° + x + 90° = 180° (90° since it is a right-angled triangle)

✒ x + 127° = 180°

✒ x = 180° - 127°

✒ x = 53°

Therefore, the three angles of the triangle are 37°, 53° and 90°.

Hence, the smallest angle is 37°.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Solve for xxx in the diagram below.

Answers

the answer is 6
5 times 6 = 30
54 plus 6 =60
and that is a 90 degree angel

Only answer if you’re sure of it. FAST!!

A card is drawn from a standard deck of 52 cards and not replaced. Find the probability of drawing a king
and then an ace.

Answers

There are only 4 Kings in a standard deck of 52 poker cards, being the King of Spades, Clubs, Diamonds and Hearts. So the probability of drawing a king from the cards is 4/52 = 1/13.and it is the same for the ace so together they’d be 8/52 or 2/13.....hope that helps

which of the following number are prime numbers 1,7,36,16,2,51,25​

Answers

Answer: 2 and 7

Step-by-step explanation: prime number is a number that is divisible only by itself and 1

whats the anserw plz (8x+10y)+(-4x-3y) i need help!!!

Answers

Answer:

me :- mighty assassin-,-

xd

What is the square feet

A.60 square feet

B.54 square feet

C.42 square feet

D.104 square feet

Answers

The answer is B
Hope that helps

Let a=2 and b=1, find the value of 2a + 3b

Answers

Answer:

7 is a answer

Step-by-step explanation:

2a+3b

2×2+3×1

4+3

7

hope it helps....

[tex] \sf a = 2,\: b = 1[/tex]

[tex] \sf Q) \:2a + 3b = {?}[/tex]

[tex] \sf \implies 2a + 3b[/tex]

[tex] \sf \implies 2(2) + 3(1)[/tex]

[tex] \sf \implies 4 + 3[/tex]

[tex] \sf \implies 7[/tex] is the required answer.

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