The horizontal lines (l and m) are parallel. They are crossed by two transversals (lines a and b).

Transversals a and b intersect to make a triangle. The m∠1 = 75°, and the m∠4 = 50°.
1. What is the m∠5? Explain how you know. (2 points)

2. What is the measure of the sum of the angles in a triangle? (2 points)

3. ∠3 is in a triangle with ∠4 and ∠5. Write and solve an equation to find the m∠3. (2 points)

4. What is the measure of a straight angle? (2 points)


5. ∠2 is in a straight line with ∠1 and ∠3. Write and solve an equation to find the m∠2. (2 points)

PLEASE ANSWER! WILL GIVE BRAINLIEST

The Horizontal Lines (l And M) Are Parallel. They Are Crossed By Two Transversals (lines A And B).Transversals

Answers

Answer 1

1. m∠5 = 75° (corresponding angles theorem)

2. 180°

3. m∠3 = 55° (triangle sum theorem).

4. A straight angle = 180°

5. m∠2 = 50° (angles on a straight line)

What is the Triangle Sum Theorem?

According to the triangle sum theorem, the sum of the angles in a triangle equals 180 degrees.

1. m∠5 = m∠1 = 75° (corresponding angles are congruent)

2. Measure of the sum of all angles in a triangle = 180°

3. To find ∠3, we would have the following equation:

m∠3 = 180 - m∠4 - m∠5 (triangle sum theorem).

Substitute and solve

m∠3 = 180 - 50 - 75

m∠3 = 55°

4. A straight angle = 180°

5. m∠2 = 180 - m∠3 - m∠1 (angles on a straight line)

Substitute and solve

m∠2 = 180 - 55 - 75

m∠2 = 50°

Learn more about triangle sum theorem on:

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Related Questions

30x³ + 10x²
Help me please ​

Answers

Question: Factorise the function ⇒ [tex]30x^3+10x^2[/tex]

Definition of Factorize:  it is an algebraic expression that means writing the given expression as a product of its factor

        *basically you write the function in its simplest term where you cannot

          simplify it further

So:

     [tex]30x^3+10x^2 = 10(3x^3+x^2) = 10x^2(3x+1)[/tex]

Answer:  [tex]30x^3+10x^2[/tex] when factorized ⇒ [tex]10x^2(3x+1)[/tex]

Hope that helps!

Solve the equation. \dfrac34 =m+\dfrac14 4 3 ​ =m+ 4 1 ​ start fraction, 3, divided by, 4, end fraction, equals, m, plus, start fraction, 1, divided by, 4, end fraction m=m=m, equals

Answers

Answer:

[tex]\boxed{\dfrac{1}{2} = m}[/tex]

Step-by-step explanation:

Given equation:

[tex]\dfrac{3}{4} = m + \dfrac{1}{4}[/tex]

Step-1: Subtract 1/4 both sides

[tex]\dfrac{3}{4} = m + \dfrac{1}{4}[/tex]

[tex]\dfrac{3}{4} - \dfrac{1}{4} = m[/tex]

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

Find the area of the figure.
A: 24.5 ft²
B: 44 ft²
C: 49 ft²
D: 14.8 ft²

Answers

Answer:

49ft²

Step-by-step explanation:

A=bh

A=bh=9.8·5=49

what number is 90% of 140?

Answers

Answer:

126

Step-by-step explanation:

A percentage is a proportion of some whole number. There are 2 ways to find percentages. Firstly, you can multiply by a decimal, or you can use a shortcut.

Multiplying with Decimals

You can always rewrite percentages as decimals. To do this move the decimal point 2 digits to the left. This means that 90% becomes 0.90. Then multiply this decimal by the whole number to find the correct percentage.

0.90 * 140 = 126

Shortcut

Because 90% is a multiple of 10%, we can use a shortcut. First off, find 10% of 140. To find 10% of any number, move the decimal 1 digit to the left. This means 10% of 140 is 14.0. Next, 90% is 10% less than 100%. So, subtract 10% from 140 to find 90%.

140 - 14 = 126

Answer:

126

Step-by-step explanation:

We need to find 90% of 140.

90% is the same as 0.9 or 9/10.

140 can be written as 14 x 10.

Multiply 14 x 10 with 9/10.

⇒ 14 x 10 x 9/10

[The 10 and 1/10 cancel out by cross multiplication]

⇒ 14 x 9

126

Cooper's family is going to relax at the beach all day! In preparation, Cooper made s sandwiches for them to eat when they get hungry. Cooper put 3 slices of turkey and 3 slices of ham on each sandwich.
Pick all the expressions that represent how many slices of meat Cooper used on the sandwiches.

Answers

There are no expressions shown.

convert y = -0.5(x + 4)^2 - 2 standard form

Answers

Answer:

I think the answer is: y = 0.5x^2 + 4x + 6, <3

Step-by-step explanation:

An arithmetic series contains 14 numbers. The first number is 12. The last number is 38. What is the sum of the series?
312
350
494
700

Answers

Answer: The answer is B:350

Step-by-step explanation:

edge

Answer:

B

Step-by-step explanation:

Got it right

given : PK and PL - tangent
KM perpendicular KP
angle KML = 50°

Solve - angle KPL

Please help me with how to solve this, thanks!​

Answers

Answer:

∠KPL = 80°

Step-by-step explanation:

As KM is perpendicular to KP, this means that KM is the diameter of the circle, as the tangent of a circle is always perpendicular to the radius.

The angle at the circumference in a semicircle is always a right angle.  So if KM is the diameter then ΔKLM is a right triangle with ∠KLM = 90°

The sum of the interior angles of a triangle is 180°.

Therefore, ∠KLM + ∠KML + ∠LKM = 180°

As ∠KLM = 90° and ∠KML = 50°

⇒ 90° + 50° + ∠LKM = 180°

∠LKM = 40°

As ∠PKM = 90° then

∠PKL = 90 - ∠LKM

              = 90 - 40

              = 50°

Tangents from a common point to a circle are always equal in length, so as PK and PL are tangents from point P, then PK = PL

Therefore, ΔLPK is an isoceles triangle and so its base angles ∠PKL and ∠PLK will be equal.

Since ∠PKL = 50° then ∠PLK = 50°

Again, as the sum of interior angles of a triangle is 180°:

⇒ ∠KPL + ∠PKL + ∠PLK = 180°

⇒ ∠KPL + 50° + 50° = 180°

∠KPL = 80°

Your aunt sells magazine subscriptions by telephone. If each call she makes takes about 1/16 of an hour, how many calls can she make in 1/8 hours?​

Answers

Answer:

2 calls

Step-by-step explanation:

1/16x=1/8

X=2

Consider the sequence below:
5, 8, 13, 20, 29 …
What is the 10th term of the sequence?

Answers

Its counting by odd numbers

3, 5, 7, 9, 11, 13, 15, 17, 19, 21

5,8,13,20,29,40,53,68,85,104,125

Answer:

40,53,68,85,104,125,148, 173, 200, 229

The expression i10 is equivalent to

Answers

Answer: -1

Step-by-step explanation:

Which fraction represents the decimal 0.8888...?
StartFraction 80 Over 99 EndFraction
StartFraction 1,111 Over 1,250 EndFraction
Eight-ninths
Nine-eighths

Answers

Answer:

  8/9

Step-by-step explanation:

A fraction that has denominator factors of 2 or 5 (only) will be finite in length. It will not be a repeating decimal fraction. This eliminates choices B and D.

The number of 9s in the denominator of a repeating decimal fraction will be equal to the number of repeating digits. The fraction 0.8888... has one repeating digit (8), so it can be written as 8/9.

_____

Additional comment

The fraction 80/99 will be the 2-digit repeating decimal 0.808080...

The fraction 1111/1250 evaluates to 0.8888, a 4-digit decimal fraction that does not repeat.

__

A fraction such as 0.142857...(6-digit repeat) can be written as ...

  124857/999999 . . . . denominator has 6 nines

This fraction reduces to 1/7.

[tex] \begin{gathered}\begin{gathered}\boxed{\begin{array}{}\sf { \rightarrow \: \red{i \: dont \: know \: anymore}}\end{array}}\end{gathered} \end{gathered}[/tex][tex] \begin{gathered}\begin{gathered}\boxed{\begin{array}{}\sf { \rightarrow \: \red{i \: dont \: know \: anymore\:\color{green}☘}}\end{array}}\end{gathered} \end{gathered}[/tex]

[tex] \color {blue} \rule {1pt} {100000pt} [/tex]

A clothing manufacturer has the marginal revenue function MR(x)=30-0.2x, 0 ≤ x ≤ 100 (in dollars per suit), where x is the number of suits sold each week. Then the total revenue from selling 60 suits is $

Answers

Based on the marginal revenue function for the clothing manufacturer, the total revenue from selling 60 suits is $1,440.

What is the total revenue from selling the suits?


The marginal revenue function of 30 - 0.2x is the differentiated revenue function.

Performing an integration will therefore give us the revenue function as:

= 30x - 0.1x²

Now that we have the revenue function and know that x = 60 suits, the revenue is:

= (30 x 60) - (0.1 x 60²)

= 1,800 - 360

= $1,440

Find out more on the revenue function at https://brainly.com/question/19755858.

please help i will give brainliest

Answers

Answer:

[D] 1/14

Step-by-step explanation:

Given that:

What is the probability of picking an orange marble and flipping tails?

Solution:

First let see how many orange marbles are there:

As we can see there is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7.

Now let see how many side a coin have:

As we can see the probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total.

Now multiply both together:

(1/7)× (1/2) = (1×1)/(7×2) = 1/14

This represents the probability of getting an orange marble and flipping tails.

In additionally 1/14 can't be simplify anymore.

Kavinsky

Answer:

[D] 1/14

Step-by-step explanation:

Knowing that there are 5 purple marbles, 1 brown marble, 1 orange marble. Since, on the given question all we need to know is the total marbles and the orange marbles.

Which the probability is 1/7

Now for the coin.

Knowing that there are two sides on a coin

Heads and tails (1/2)

Which is only 1/2 also known as 50% probability.

Now multiply straight across:

1/2 × 1/7

⇒ 1 × 1 = 1

⇒ 2 × 7 = 14

Thus, the answer is 1/14

can't be farther simplify.

[RevyBreeze]

A runner's journal shows the number of miles run each day for a week:
Sunday: 1 miles
Monday: 4 miles
Tuesday: 7 miles
Wednesday : 10 miles
Thursday: 13 miles
Friday: 16 miles
Saturday:

Based on the arithmetic sequence how many miles are planned for Saturday?

Answers

The number of miles planned on Saturday is 19 milea

What is an arithmetic sequence?

This means the sequence where the difference between one term and the next term is a constant.

In this case, the following information are illustrated:

Sunday: 1 miles

Monday: 4 miles

Tuesday: 7 miles

Wednesday : 10 miles

Thursday: 13 miles

Friday: 16 miles

As we can see there's a difference of three between them. This can be seen as:

= 4 miles - 1 mile

= 3 miles

Therefore, the number planned on Saturday will be:

= Friday + 3 miles

= 16 miles + 3 miles

= 19 miles

Learn more about sequence on;

brainly.com/question/6561461

#SPJ1

if z=-1-v3i and 26 = a +bi, then a =
and =

Answers

the answer would have ti be 7

without solving what can you tell about the solution to this equation?

Answers

Answer:

A

Step-by-step explanation:

B could be any number, and given that there is no sum, you cannot possibly determine what number B is.

Answer:

A

Step-by-step explanation:

An infinite solution has both sides equal.

In question 1,  the left part is equal to the right part

Use the equation below to find c, if a=43 and b= 53.
C= = 180-a-5

Answers

Answer:

180-a-5

180-43-5

180-48

180-48=132

c=132

evaluate F (-1) where f (x) is the piece wise function graphed below

Answers

Check the picture below.

What is the value of 5^3i^9

Answers

Answer:

5^(3)i^(9)= five cubes times i to the power of 9=125i

Step-by-step explanation:

Raise 5 to the power of 3

rewrite i9 as (i^4)2^i

so, you get 125((i^4)^2i)

i^4=1

125(1^2i)

125i

ithout graphing, determine the number of solutions to the system of equations.
2x−10y=−2
y=x/5−1
Select the correct answer below:


no solution

one solution

infinitely many solutions

Answers

Answer:

No solution

Step-by-step explanation:

(I am going to use substitution)

2x−10y=−2

y=x/5−1

(Substitute the y into the other problem)

2x - 10 (x/5 -1) = -2

2x - 2x + 10 = -2

10 = -2

No solution

Hope this helps :)

A cardboard box, which has the shape of a parallelepiped, has the following sizes: 35 cm by 27 cm
(rectangular base). The height of the box is - 27 cm. Calculate the volume of the box.

Answers

Answer:

25,515

Step-by-step explanation:

35 x 27 x 27

945 x 27

25,515

Callie runs 30 minutes a day. She has already run 90 minutes this week. How many days will it take her to run at least 240 minutes?

Answers

240-90=150
150/30=5 MORE days (or 8 TOTAL days if that’s what you’re looking for)

Find the interest on a loan with Principal =
$1000, Rate = 6%, Time = 2 years

Answers

Answer:

changing the currency $ to #

$1000 = #415,640.00

i=prt (formular)

given:

I =?

p = $1000 or #415,640.00

r = 6%

t = 2 years

i= 415,640.00×6×2÷100

i= #49876.8

without changing currency

i= 1000×6×2÷100

i=120

KellyConnect
Cameron Moore
Customer: "I just purchased 9 products from you at $44.00 each. I just realized my
company offers a 20% discount on all of your products. Can you tell me what my new
total should be?"

Answers

Answer:

$316.8

Step-by-step explanation:

9 x 44 = 396

396 × 0.80 = $316.8

or

396 * 0.20 = 79.2

396 - 79.2 = $316.8

How many congruent faces does the shape below have?
A.
0
B.
1
C.
2
D.
3

Answers

Answer:

C. 2

Step-by-step explanation:

It has only 2 congruent faces- bases

Answer: the answer is c which is 2 , 2 faces

Step-by-step explanation: as the cylinder has 2 faces . The cylinder is a prism and any prism has 2 faces . HOPE IT HELPS YOU BUDDY . PLEASE GIVE BRAINLIEST .THANKS .

Joshua spends 25 minutes of each day reading. He reads d days a week. Let m represent the number total minutes of reading a week. Write an equation to represent the situation. help I didn't study for math class and I have a test

Answers

Answer:

25 x D = Y

Step-by-step explanation:

Example: Say he reads for three days a week.

25 x 3 = 75

or 6 days

25 x 6 = 150

or 4

25 x 4 = 100

If prices increase at a monthly rate of 0.1%, by what percentage do they increase in a year?

Answers

Answer:

Step-by-step explanation:

Since the prices increase at a monthly rate of 0.1% per month. To find the percentage do they increase a year, we need to convert 0.1% to a decimal.

So here how we do it. We put 0.1 percent on the numerator because it a small number which is what we want over 100 like this:

[tex]\frac{0.1}{100}[/tex]

Now when plugging this into your calculator you get:

0.001

.So what do we do with this number?

We now times it by 12 like this:

0.001 x 12 which gives us:

0.012

So we can convert this back to a percentage by moving the decimal by 2 places to the right which gives us 1.2%.

Another way we could of done this without doing the long way to figure it out is by multiplying 0.1 times 12 which still gives us 1.2%

I need this answer fast please factorise the following 16gh2 – 8hi + 24h =

Answers

Answer: 8h(2gh - i + 3)

Step-by-step explanation:

factorise 8 out as 8 is a comon factor of 16, 8 and 24

factorise h out together with 8 because all of them have h

The set of ordered pairs below is a relation. {(1, 5), (0, 2), (-1, -1), (-2, -4)} What is the range of the relation?

Answers

Answer:

{ - 4, - 1, 2, 5 }

Step-by-step explanation:

the range is the values of y from the ordered pairs in the relation

range = { - 4, - 1, 2, 5 }

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