HELP ME ! Lines l and m are parallel.

Parallel lines l and m are cut by transversals s and t. Clockwise from top left, the angles formed by s, t, and l are blank, 85 degrees, (2 x) degrees, (x minus 10) degrees, 1, blank; formed by s and m are blank, 2, blank, blank; formed by t and m are 3, blank, blank, blank.

What is the measure of angle 3?
25 degrees
35 degrees
70 degrees
85 degrees

HELP ME ! Lines L And M Are Parallel.Parallel Lines L And M Are Cut By Transversals S And T. Clockwise

Answers

Answer 1

Answer:

The correct option is A

A) 25 degrees

Step-by-step explanation:

As two parallel line l and m are cut by the line t, the angles formed (x-10)° and < 3 are alternate angles, therefore they are equal to each other.

< 3 = (x-10)° ⇒ Equation (i)

We know that any straight line has a sum of angles equal to 180°.

Consider line t, it is divided into 3 angles due to cutting. Those angles are 85°, (2x)° and (x-10)°. The sum of these angles is 180° as stated before.

85° + (2x)° + (x-10)° = 180°

Find the value of x:

85 +2x + x - 10 = 180

3x + 75 = 180

3x = 105

x = 35°

Substitute it in Equation (i) to get the value of <3

< 3 = (35 - x)°

< 3 = (35 - 10)°

< 3 = 25°


Related Questions

Which best describes the relationship between the line that passes through the points

Answers

Answer:

Neither perpendicular nor parallel.

Step-by-step explanation:

To find the answer, you just need to find the slopes of each line.

The slope of the line with points at (-6, 5) and (-2, 7) would be (7 - 5) / (-2 + 6) = 2 / 4 = 1/2.

The slope of the line with points at (4, 2) and (6, 6) would be (6 - 2) / (6 - 4) = 4 / 2 = 2.

They are most definitely not the same line.

They are not perpendicular, either, since although they are [eek I forgot the term for it] opposites, they are both positive. To be perpendicular, one slope must be negative and the other positive.

They are not parallel, since the slopes are not the same.

So, the relationship between the lines are that they are neither parallel nor perpendicular.

Hope this helps!

Whích quadratic inequality does the graph below represent?
у
5
4
3
2
1

wa-
5-32
12
3
5
2

Answers

Answer:

The third option

Step-by-step explanation:

first, you can eliminate the 2nd and the 4th option because the vertex of the graph is located at -3, and not 3. The reason it is not the 1st option is, because  of the greater than or equal to sign, this inequality actually shows the white area.

Therefore, leaving the 3rd option. The y-intercept is correct, it is -3. The sign is also correct, because on the axis of the quadratic, -3 is the highest possible y-intercept. So y has to be less than or equal to -3.

Hope this helps! :D

Use the graph of f to describe the transformation that results in the graph of g. f(x) = log x; g(x) =

Answers

Hey there!

Answer:

2nd choice, The graph of g(x) is the graph of f(x) reflected in the x-axis, expanded vertically by a factor of 5, and translated 8 unit(s) down.

Step-by-step explanation:

Recall that the transformation form of a logarithmic function is:

y = ±alog(b(x-h))+k

Given g(x) = -5logx-8:

Negative in front of equation: reflection over the x-axis

'a' value of 5: expanded vertically by a factor of 5

'k' value of -8: translated 8 unit(s) down.

PLEASE I NEED HELP!!. i don't know how to do this.

Answers

Answer:

∠ FGE = 52.5°

Step-by-step explanation:

The secant- secant angle is half the difference of the measures of the intercepted arcs, that is

∠ FGE = [tex]\frac{1}{2}[/tex] (arc BD - arc FE )

           = [tex]\frac{1}{2}[/tex] × (135 - 30)°

           = [tex]\frac{1}{2}[/tex] × 105°

           = 52.5°

A group of students must collect at least $160 to organize a science fair. They have already collected $20. Which graph best represents the possible amounts of money the students still need to collect? (1 point) Number line graph with closed circle on 160 and shading to the right. Number line graph with closed circle on 140 and shading to the right. Number line graph with closed circle on 20 and shading to the right Number line graph with closed circle on 180 and shading to the right.

Answers

Answer:

Number line graph with closed circle on 20 and shading to the right or c

Step-by-step explanation:

This is the best answer because you start of at 20 dollars and need to continue collecting money till you have 160 dollars.

Answer:

The 3rd one

Step-by-step explanation:

You have already collected $20. You need at least $160, but having even more money would be great. You need $160, but any number to the right of 160 would be even better as your goal.

Lindsey lives 32 blocks from the grocery store. It takes her 9 minutes to walk 12 blocks. If she continues to walk at the same rate, how long would it take her to walk 32 blocks?

Answers

Answer:    

if she countinues to walk at that rate it will take her 24 minutes to walk the 32 blocks

Step-by-step explanation:

i took the 12 blocks every 9 minutes and counted for a total of 36 blocks which would take 27 minutes then since we want to know how long it would take for her to walk 32 blocks I found how long it would take her to walk 4 blocks which is 3 minutes (12/3 = 4 9/3 =3) and i subtracted those 3 minutes from the 36 block walk giving you 24 minutes for 32 blocks

hope this helps

WILL MARK BRAINIEST IF CORRECT!!!

1) Write a real-world problem that can be represented by the inequality 8x - 15 ≥ 25.
2) What do the values in the solution set represent in your problem?

Answers

Answer:

Look below

Step-by-step explanation:

8 boxes of toothpicks were given to at LEAST 25 students but 15 threw them out

8x= 8 boxes

At least 25= no less than 25 students

-15= the 15 that threw them out

x=boxes

the people= All real numbers

HOPE THIS HELPS!!!

Answer:

1 2 3 4

Step-by-step explanation:

Find the total surface area of this square based
pyramid.

Answers

Answer:

125

Step-by-step explanation:

Surface area is the total area of all the surfaces of a shape. In order to calculate the surface area we need to consider each unique face individually.

The base of the pyramid is a square of side-length 5, and its area is 5×5=25

The side faces form an iscosoles triangle of height 10 and base length 5, its area is 10×5×[tex]\frac{1}{2}[/tex]=25.

The total surface area = Triangle +Triangle +Triangle +Triangle +Square = 25+25+25+25+25 = 125

Another asap question need help!!!!!!

Answers

Hey there! :)

Answer:

f(x + 5/4) --> f(x) is translated 5/4 units left.

f(x) - 5/4 --> f(x) is translated 5/4 units down.

Step-by-step explanation:

Recall that a linear equation in transformations form is:

f(x) = ±a(b(x-h))+k

In this instance:

f(x + 5/4) the 'h' value is -5/4, meaning the graph is translated 5/4 units left.

f(x) - 5/4 has a 'k' value of -5/4, so the graph is translated 5/4 units down.

In a class of 80 students, every student had to study mathematics or biology or both mathematics and biology ,If 65 students studied mathematics and 62.5% of teh class studies biology ,how many students studied both subjects.pls detial properly​

Answers

Answer:

Well, 80 x 62.5% is 50.

So, 65 + 50 is 115.

I think there is a mistake in the question

Well, It could not, but please check again TT

Step-by-step explanation:

BRAINLIEST!!! Mary went up the Old Tower taking 3 steps per second. Then she carefully came down from the tower taking 2 steps per second. It took Mary 25 seconds longer to come down than to go up. How many steps does the Old Tower have?

Answers

Answer:

The old tower has 65 steps.

(I think,)

Answer:

150 steps

Step-by-step explanation:

For every 6 steps going up it takes a extra 1 second to go down. Since it took Mary 25 seconds longer to get down you multiply 6 by 25 and you'll get 150 steps.

SOLVE THIS PUZZLE PLEASE

Answers

Answer:

1) Median

2) Equilateral

3) Isosceles

4) Altitude

5) Congruent

6) Orthocenter

7) Centroid

8) Circumcenter

9) Incenter

Triangle ABC is rotated 180° using the origin as the center of rotation.

Answers

Answer:

The third answer- a reflection over the x axis then a reflection over the y axis

Answer:the answer is C

Step-by-step explanation:I took the test

80g of a 35% salt solution

Answers

Answer:

The total weight is 80g, this is equal to the weight of the salt in the mixture plus the weight of the water in the mixture.

Ws = Weight of the salt

Ww = Weight of the water.

Then:

Ww + Ws = 80g

and the solution is 35% salt, so we have:

Ws/80g = 0.35

We must solve the system of equations, we can write the second equation as:

Ws = 80g*0.35 = 28g

Then we have 28 grams of salt, and the other 62g must be of water.

The answer is 28 grams.

Step-by-step explanation:

Let x represent the weight of the salt

Let y represent the weight of the water

We know x + y = 80g total

If the salt solution is 35%, we can write the following equation:

x/80g = 0.35

x = 80g x 0.35 = 28

28 grams

PLEASE HELP ME!!! :'(


1. Create a data set with at least 5 values.
2. Write instructions that tell a friend how to find the mean absolute deviation of your data set.

Answers

Answer: KINDLY CHECK EXPLANATION

Step-by-step explanation:

Given the data:

1) dataset:

My data(x) : 2, 4, 6, 8, 10

2) to calculate the mean absolute deviation of the data above :

Step 1: Find the mean (m) of the dataset (my data)

Mean(m) = sum of values in my data / number of observations in my data (n)

m = (2+4+6+8+10) / 5

m = 30 / 5 = 6

The mean absolute deviation(MAD) :

Sum of The absolute value of the difference between values in my data and the mean value (m) Divided by the number of observations.

MAD = (Sum of |x - m|) / n

MAD = (|2-6| + |4-6| + |6-6| + |8-6| + |10-6|) / 5

MAD = (4 + 2 + 0 + 2 + 4) / 5

MAD = 12 / 5

MAD = 2.4

Think of a number, multiply it by 6 and increase the product by 7. It will equal a number, multiplied by 2 and
then increased by 6. What number is it?
1
4
1
10
ent
1
8

Answers

Answer:

x = -1/4

Step-by-step explanation:

Step 1: Write out 1st equation

6x + 7

Step 2: Write out 2nd equation

2x + 6

Step 3: Set equal to each other

6x + 7 = 2x + 6

Step 4: Solve

4x + 7 = 6

4x = -1

x = -1/4

D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m∠DEF?

Answers

Answer:

m∠DEF is 90°

Step-by-step explanation:

It is given that  D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. Thus, using the distance formula, we have

and

Also,  

Now,

Thus, Pythagoras theorem holds.

Hence, m∠DEF is 90°⇒ΔDEF is right angled triangle which is right angled at E.

DE^2 = 1 + 16 = 17.

EF^2 = 16 + 1 = 17.

DF^2 = 9 + 25 = 34.

Since (DE)^2 + (EF)^2 = (DF)^2,

angle E is 90 degrees.

DF must be the hypotenuse

Here look at that

how many tiles 4 inches on a side should be used to cover a portion of a wall 56 in Long by 32 in high​

Answers

For the following examples, we'll use a rectangular room that is 10 feet wide, 12 feet long, and 8 feet high.

A department store sells logo shirts at an original price of $20.

Answers

Answer:

Answer is below.

Step-by-step explanation:

Macy forgot that a discount of 25% means the cost is multiplied by 75%.

Take the original price of the shirt, $20, times 75% for each month and times 50% for the employee discount.

20 x 0.75 x 0.75 x 0.50 = $5.63 is the price of the shirt for the employees using all of the discounts.

Calculate the heigh (x) of the tree

Answers

Answer:

87 feet

Solution,

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

[tex]tan \: 60 = \frac{h}{50} \\ 5 \: tan \: 60 = h \\ h = 50 \: tan \: 60 \\ h = 87 \: feet[/tex]

hope this helps..

Good luck on your assignment..

Please help ASAP

These box plots show the number of electoral votes won by the democratic and republican candidates for the elections 1984 through 2012

Answers

Answer:

A.

Step-by-step explanation:

The interquartile range for republicans is 185.5. The interquartile range for democrats is 186.5.

367.5 - 181 = 186.5

356 - 170.5 = 185.5

Answer:

A

Step-by-step explanation:

what is y=2/3x-4 graphed

Answers

Answer:

Please see attached

Step-by-step explanation:

Massachusetts has a population of over 6,550,000 people. The maximum number of hairs that can grow on a human head is 500,000. Prove that there are at least 14 residents of Massachusetts who have the same number of hairs on their heads.

Answers

Answer:

So, basically, you can do this:

500,001*14<6,550,000.

This works because there is one person that can have 0 hairs, 1 hair, 2 hair and so on until we reach 500,000 hairs. Then, there has to be a repeat. So, we can do this fourteen times. Then, we can see that there are at least 14 people with a certain amount of hairs.

The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?
Triangle 1:25°, 35
Triangle 2: 25°, 120
Triangle 1: 100°, 60°
Triangle 2: 100°, 20°
Triangle 1: 90°, 45
Triangle 2: 45°, 40
Triangle 1: 37", 63
Triangle 2:63', 107
Triangle 1: 90° 20°
Triangle 2: 20°, 90°

Answers

Answer:

Triangle 1: 90°, 20°

Triangle 2: 20°, 90°

Step-by-step explanation:

According to AA or Angle-Angle Similarity, any two triangles with two of the same angle measurements are similar. Only Triangle 1: 90°, 20° and Triangle 2: 20°, 90° have the same two angle measurements.

the quotient. Simplify your answer
b - 4
b
4
Enter the

Answers

Answer:b-4/4

Step-by-step explanation:

HELP!
After a rotation, A(-3, 4) maps to A'(4, 3), B(4, -5) maps to B'(-5, -4), and C(1,6) maps to C'(6, -1). Which rule
describes the rotation?

R0, 90°
R0, 180°
Ro, 270°
RO, 360°​

Answers

Answer: Choice C,  Ro, 270

270 degree counterclockwise rotation around the origin

=============================================================

Check out the diagram below. In the diagram, I only focus on points A and A'.

We have A = (-3,4) move to A ' = (4, 3). We see the x and y coordinates swap places. Then the new second coordinate -3 becomes positive, or it has flipped sign. So the rule applied here is [tex](x,y) \to (y,-x)[/tex] which describes a 90 degree clockwise rotation; which is equivalent to a 270 degree counterclockwise rotation

The other points follow the same idea.

Answer:

c

Step-by-step explanation:

Solve 2x+2>10

A. x < 4
B. x > 4
C. x > 6
D. x < 6

Answers

Answer:

B

Step-by-step explanation:

2x+2>10

2x>10-2

x>8/2

x>4

Please help me ASAP (Each choose is Yes/No)

Answers

Answer:

MARK me brainliest please

Step-by-step explanation:

yes

yes

no

no

yes

What is the value of xx) = 9^x when x= -2?

A. 1/81

B. 81

C. 1/81

D. 18​

Answers

Answer:

C. [tex]9^{-2} = \frac{1}{81}[/tex]

Step-by-step explanation:

Given

[tex]9^{x}[/tex]

Required

Find the expression where x - 2

[tex]9^{x}[/tex]

Substitute 2 for x

[tex]9^{-2}[/tex]

From law of indices which states

[tex]a^{-b} = \frac{1}{a^b}[/tex]

So, the expression becomes

[tex]9^{-2} = \frac{1}{9^2}[/tex]

Expand the denominator

[tex]9^{-2} = \frac{1}{9 * 9}[/tex]

[tex]9^{-2} = \frac{1}{81}[/tex]

Hence, [tex]9^{x}[/tex] is [tex]\frac{1}{81}[/tex] when x = 2

pls help me with algebra i dont get it

Answers

Answer:

(0,2)

Step-by-step explanation:

i used a graphing calculator hopefully its right

Answer:

(-7,-14)

Step-by-step explanation:

you x is decreasing by -7 so your x is -7 and your y  is decreasing by -14.

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