Help me with those two questions

Help Me With Those Two Questions

Answers

Answer 1

Given:

A figure in which a transversal line intersect two parallel lines.

[tex]m\angle 2=4x+7, m\angle 7=5x-13, m\angle 5=68[/tex] and [tex]m\angle 3=3y-2[/tex].

To find:

The value of x and y.

Solution:

We know that, if a transversal line intersect two parallel lines, then

(1) Alternate exterior angles are equal.

(2) Same sided interior angles are supplementary. So their sum is 180 degrees.

In the given figure j and k are parallel lines and l is a transversal line.

From the given figure, it is clear that,

[tex]m\angle 2=m\angle 7[/tex]                (Alternate exterior angles are equal)    

[tex]4x+7=5x-13[/tex]

[tex]7+13=5x-4x[/tex]

[tex]20=x[/tex]

Therefore, the value of x is 20.

Now,

[tex]\angle 3+\angle 5=180[/tex]     (Same sided interior angles are supplementary)

[tex]3y-2+68=180[/tex]

[tex]3y+66=180[/tex]

[tex]3y=180-66[/tex]

[tex]y=\dfrac{180-66}{3}[/tex]

[tex]y=\dfrac{114}{3}[/tex]

[tex]y=38[/tex]

Therefore, the value of y is 38.


Related Questions

Allie goes cruising on her dirt bike. She rides 2 km north, 4 km west, 13 km south, 10 km east, 1 km south and 6 km east. What was her displacement?

Answers

Answer:

16.97km

Step-by-step explanation:

To get the displacement, we will use the pythagoras theorem

Sum of distances along the horizontal (east and west) is expressed as

dx = 10 - 4 + 6

dx = 6+6

dx = 12km

Sum of distances along the y;

dy = 2 - 13 - 1

dy = -11-1

dy = -12km

Find the displacement using the pythagoras theorem

D = √(12)²+(-12)²

D = √144+144

D = √288

D = 16.97km

Hence her displacement is 16.97km

9. There are 45 marbles in a bag (black and white only). The ratio of white marbles to black marbles is 2:3.
How many of each are there?

Answers

18 white and 27 black

Step-by-step explanation:

add 2 + 3 to get 5

45 ÷ 5 = 9

since white is 2, multiply 9 by 2 to get 18

since black 3, multiply 9 by 3 to get 27

After his alarm rings, Clarence has
25 minutes to get ready. He snoozes in
bed for one minute after the alarm rings
the first day, two minutes the second
day, three minutes the third day, etc.
When Clarence is down to 11 minutes to
get ready, how many days has it been?

Answers

Answer: 14 days

Step-by-step explanation:

Day 1: 1 minute snooze = 24 minutes

Day 2: 2 minute nooze = 23 minutes ; these examples show snooze time = days.

We can set up an equation for this situation: 25 - s = r ; where s = snooze time and r = time to get ready.

Given the problem, we can fill out this equation with: 25 - s = 11

When you solve this equation, time snoozed = 14.

We already know that snooze time = days, so days = 14.

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

What is the volume of a box with the dimensions of 10ft. by 5ft. by 6ft?

Answers

Answer:

300ft^3

Step-by-step explanation:

10ft. by 5ft. by 6ft? =300ft^3

The volume of the box with the dimensions of 10 ft x 5 ft x 6 ft is 300 cubic feet.

What is the volume of the cuboid?

The volume of cuboid is given by -

V{C} = Length x Breadth x Height

Given is a box with the dimensions of 10 ft x 5 ft x 6 ft.

We can write the volume of the box as -

V{b} = L x B x H

V{b} = 10 x 5 x 6

V{b} = 50 x 6

V{b} = 300 cubic feet

Therefore, the volume of the box with the dimensions of 10 ft x 5 ft x 6 ft is 300 cubic feet.

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What is the difference of d minus 3 divided by 2 if d = 3?

Answers

Answer: what is the difference of d minus 3 divided by 2 if d = 3

help me plzzzzzzzzzzzzzz

Answers

Answer:

the equation is y=4x+3

Step-by-step explanation:

is that what you wanted?

Answer:

y=4x +3

Step-by-step explanation:

y=mx + b is the slope y-intercept form

4 is the slope so "mx" is now filled and 3 is the y-intercept

i hope this helps :) have a great day !!

Can someone plz help me with showing the work. Send the work pic and I’ll mark brainliest plz ASAP!!!

Answers

Answer:

I think it might be D. 4mi because it is a little smaller that 5mi but bigger than 3mi but I might be wrong

Pls help How many sides does this regular polygon have? ​

Answers

Answer:

9

Step-by-step explanation:

interior angle + exterior angle = 180°, that is

7y + 2y = 180

9y = 180 ( divide both sides by 9 )

y = 20

Then

2y = 2 × 20 = 40°

The sum of the exterior angles of a polygon = 360°

Divide the sum by 40 for number of sides (n)

n = [tex]\frac{360}{40}[/tex] = 9

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Mark for Review
A rectangular prism and its dimensions are shown in the diagram.
L
2.5 ft
4 ft
4.5 ft
What is the total surface area of the rectangular prism in square feet?
A 39.25 ft?
© 45 ft?
B 78.5 ft?
D Not here

Answers

Answer:

6.7 to 26

Step-by-step explanation:

Suppose the ratio of Lev's age to Mina's age is $1 : 2$ and the ratio of Mina's age to Naomi's age is $3 : 4$. What is the ratio of Lev's age to Naomi's age? Give your answer in simplest form.

Answers

Answer:

3:8

Step-by-step explanation:

The ratio of Mina's age to Naomi's age is 3 : 4

Multiplying the above ratio by 2 = 6:8

The ratio of Lev's age to Mina's age is 1 : 2

Multiplying the above ratio by 3

= 3:6

Therefore, ratio of Lev's age to Naomi's age in simplest form.

= 3:8

Answer:

3:8

Step-by-step explanation:

Let L, M, and N stand for the three ages.

The given ratios tell us that

M = 2L

and

N = 4/3M.

Therefore,

N = 4/3 x 2L = 8/3L.

This means that Lev's and Naomi's ages are in the ratio 3:8.

5 Marta designs a logo for her mother's business,
X-treme Nutrition. The logo is shown.
35°
35°
b
Which equation and solution best represents
angle b?
A b + 35 = 90; b = 55°
B b-35 = 35; b = 70°
C 6+ 70 = 180; b = 110°
D b + 35 = 180; b = 145°

Answers

Answer:

(C). b + (2 × 35) = 180; b = 110°

Step-by-step explanation:

1. RS has endpoints R(2, 4) and S(-1, 7). What are
the coordinates of its midpoint M?

Answers

Answer:

(0.5, 5.5)

Step-by-step explanation:

I need help I don’t get how to solve it plsss help me

Answers

Answer:

Step-by-step explanation:

They give you the equation, you must substitute the x values into the equation to find the y values.

Example on top equation:

y=-5x so the y values would be

y=-5(-1)=5

y=-5(0)=0

y=-5(1)=-5

y=-5(2)=-10

Given that is the midpoint of AB and E is the midpoint of AC, AD =32cm, AE=19cm, and DE=39cm, determine the perimeter of DBCE

Answers

Answer:

since triangle AED similar to ACB

CE=19cm mid point bisect it

BD=32Cm mid point bisect it

Step-by-step explanation:

BC=2DE=2×39=78Cm

perimeter=sum of all side=ce+de+bd+bc=19+39+32+78=168cmtherefore perimeter of DBCE=168Cm

Determine the unknown angle in the triangle pictured below: pls help me /.

Answers

Answer:

60

Put the Brainlest please

Explain to me what a proportion is​

Answers

Answer:

its a fraction but you use proportions to find x

for example :

2 ×

- -

3 2

Step-by-step explanation:

you multiply cross so then you divide that by your other number

proportion is
a part, share, or number considered in comparative relation to a whole.

HELP PLEASE IM IN A TIMED TESTTTT !!!

Mr. Frankel bought 7 tickets to a puppet show and spent $43. He bought a combination of child tickets for $4
each and adult tickets for $9 each. Which system of equations below will determine the number of adult
tickets, a, and the number of child tickets, c, he bought?


1. a=C-9
9a + 40 =43

2. 9a +4c=43
a+c=7

3. 40 + 40 = 50
a+c=7

4. a+c= 301
a+c=7

Answers

Answer:

Step-by-step explanation:

2. 9a +4c=43

a+c=7

The total tickets for adults and children = 7 (a+c =7)       7 people in all

price for adult = $9  (9a)   Price per child =$4 (4c)

total price =$ 43

  9a +7c = 43

Solve for x:
(4x - 6)
(2x)

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

2x + 4x - 6 = 180

6x - 6 = 180

6x = 186

x = 31

Step-by-step explanation:

Jay had 6 times as much money as Kay. Then Jay gave Kay $33. Jay now has twice as much money as Kay. How much did they each start with?

Answers

Answer:

Jay started with $148.5 and Kay with $24.75.

Step-by-step explanation:

With the information provided you know that Jay had 6 times as much money as Kay wich can be expressed as:

J=6K, where

J is the money Jay had

K is the money Kay had

Also, you know that  Jay gave Kay $33 and Jay now has twice as much money as Kay, which would be:

J-33=2(K+33)

Now, you can replace J=6K in this equation and solve for K:

6K-33=2K+66

6K-2K=66+33

4K=66

K=24.75

Then, you can replace the value of K in J=6K:

J=6*24.75

J=148.5

According to this, the answer is that Jay started with $148.5 and Kay with $24.75.

A high school soccer team has 3 freshmen, 4 sophomores, 6 juniors, and 7 seniors. Two random players will be chosen by the coach to lead the warm up. What is the probability that the coach will select a sophomore then a senior?

A. 7/95
B. 7/100
C. 4/75

Answers

4/20 (sophomore) x 7/20 senior = 28/40 > simplified to 7/10. Is B supposed to be 7/10 not 7/100?
The correct answer is A

Can you solve this geometry problem?

Answers

Answer:

m<UTV = 100°

Step-by-step explanation:

360 = 140 + 120 + m

360 = 260 + m

360 - 260 = 260 - 260 + m

100 = m

----------------------------------------

360 = 140 + 120 + 100

360 = 260 + 100

360 = 360

Special Right Triangles and Pythagorean Theorem
1. Find the length of the missing side.Leave your answer in the simplest radical form.
please show work

Answers

Answer:

Step-by-step explanation:

225+36 = 261

[tex]\sqrt{261}[/tex]

Can someone pls help me ? I really need help

Answers

Answer:

its A.56

Step-by-step explanation:

Find the measure of the indicated angle.
:)​

Answers

Answer:

2

Step-by-step explanation:2

What is the first step to solve for y for -x+2y=-10

Answers

Answer:

-x +2y = - 10

2y = x - 10

y. = x - 10/2

hope it helps ☺️☺️

Graph would be the first step!

What is the difference in height between 30m up a cliff and 87 m up a cliff? What is the
distance between these positions?
The difference in height is *blank*
The distance between the positions is *blank*

Answers

Answer:

57 m.

Step-by-step explanation:

87 - 30 = 57.

It depends on the slope of the cliff.

Tiffany drew three triangles. She use the measurements of 25 degrees, 80 degrees, and 75 degrees. Is this a possible triangle?
A. Yes
B. No

Answers

Answer:

Yes.

Step-by-step explanation:

A city has 17391 registered Democrats and 20553 registered
Republicans. An organization wishes to survey equal proportions of
each group.

The council decides to survey 13 Republicans
How many Democrats should they survey? Democrats

Answers

Answer: The council should survey 11 Democrats.

Step-by-step explanation:

A proportional relationship is written as:

y = k*x

Where k is the constant of proportionality. y is the number of surveyed members, and x is the total number of registered members.

If we use the same proportion for each case, then we will use the same value of k.

We know that there are 20553 registered Republicans, and the council decides to survey 13 of them, then we will have the relation:

13 = k*20553

Now we can solve this for k:

13/20553 = k

Then the proportional relationship will be:

y = (13/20553)*x

The number of democrats they should survey can be found if we replace x by the number of registered Democrats, then we use x = 17391

this leads to:

y = (13/20553)*17391 = 11

The company should survey 11 Democrats.

Describe how you know whether an equation will be true for all values of x or true for no values of x.

Answers

Answer:

Substitute your answer for the variable x. If the equation looks accurate or is correct, then the value of x is the right answer. Not sure if this makes sense

Determining whether an equation is true for all values of x or true for no values of x requires simplifying the equation, determining its domain, checking for variable restrictions, and evaluating the equation for different values of x.

What is an equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Simplify the equation as much as possible using algebraic manipulations such as combining like terms, factoring, and expanding.

Evaluate the equation for a few different values of x to see if it holds true. If the equation is true for all values of x within the domain, then it will be true for all values of x. If there are any values of x within the domain that make the equation false, then it will be false for no values of x.

If the equation cannot be simplified or the domain cannot be determined, then it may require further analysis, such as graphing or using calculus techniques to determine its behavior.

Thus, determining whether an equation is true for all values of x or true for no values of x requires simplifying the equation, determining its domain, checking for variable restrictions, and evaluating the equation for different values of x.

Learn more about the equation here:

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with one litre of paint you can paint an area of 8m².how much paint will you need for a wall mural that is 10m wide and 3m high?​

Answers

Answer: 3.75 liters

Step-by-step explanation:

1 liter = 8m^2

area of the wall = l x b (wide x high)

= 10 x 3

= 30m^2

so, quantity of paint needed = 30/8 = 3.75 liters

Hope it helped u,

pls mark as the brainliest                -Ayaan707-

^_^    

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