Lines AB and CD and are parallel. Find the measures of the three angles in triangle ABF.

Lines AB And CD And Are Parallel. Find The Measures Of The Three Angles In Triangle ABF.

Answers

Answer 1

Answer:    ∠B = 42°   ∠A = 23°  ∠F = 115°

Step-by-step explanation:

∠B≅∠C  alternate interior angles  42°

  ∠CDF is supplementary to ∠CDE,

so m∠CDF = 23°  and ∠FAB≅∠CDF so m∠FAB= 23°

also ∠A ≅ CDE  corresponding angles  157° ∠FAB is suplementary to ∠A

so 180 - 157 = 23 gives the m∠FAB

The sum of the angles of a triangle is 180°, so m∠AFB = 180 -(23 +42)

180- 65 = 115 = m∠F


Related Questions















I
Evaluate −4x+y when x=5/4 and y=1/5. Write your answer as a mixed number in simplest form.

Answers

Answer:

[tex]-4\frac{4}{5}[/tex]

Step-by-step explanation:

-4x + y

Plug in your values for x and y

-4 (5/4) + (1/5)

-20/4 + 1/5

-5 + 1/5

= - 4 4/5

38
Is that a perfect square

Answers

no cuz u have to be able to divide by 4 i think

Answer:

yea, its a perfect square

Step-by-step explanation:

What is the difference between the two points (0,9) and (0,1)?

Answers

Answer:

0,1-0,9

-0,8

Step-by-step explanation:

Subtract the second point from the first point.

A least squares regression line was calculated to relate the length​ (cm) of newborn boys to their weight in kg. The relationship between Length and Weight has an Rsquared of 58.6​%. Write a sentence​ (in context) summarizing what the Upper R squared says about this regression.

Answers

Answer:

58.6% of the variation in length (in cm) of new born boys and their weight (in kg) is explained by the line of best fit.

Step-by-step explanation:

Given the following :

R² value = 58.6% comparing the length (cm) of new born boys to their weight (kg)

The R² value is called the Coefficient of determination. It is obtained by taking the square of the correlation Coefficient (R). The value gives the proportion of Variation between the independent and dependent variables which is explained by regression line. In the scenario above, the R² value means that 58.6% of the variation in length in centimeter of new born boys and their weight (in kg) is explained by the line of best fit. While (100% - 58.6% = 41.4%) is due to other factors.

Please Help me Its a Math question!!!! Please

Answers

Answer:

The first one should be the answer. 90 degrees counterclockwise.

Answer:

See below.

Step-by-step explanation:

The answer would be 90 degrees counterclockwise. Think of a clock. The direction it usually goes is clockwise. The opposite direction is counterclockwise. So, this triangle rotated counterclockwise.

-hope it helps

simplify the following​

Answers

(iii) = 23/2 or 11.5
(iv) = -15/2 or -7.5

Type the correct answer in the box. Spell the word correctly.

Which type of demand has been created?

When the mortgage rates get high, the housing market will collapse, as fewer people will take loans for buying houses because of higher interest rates, and this will result in a demand.

Answers

Answer:

Scarce demand / inflation

The word "scarce" means low on supplies or anything else.

Inflation is the term used when a price increases in the market.

These two terms together would best describe the higher demand.

Hope this helps, have a great day! ♥

SV is a midsegment of △RTU.
If TU=y+38 and SV=y–9, what is the value of y?

Answers

Answer:

y = 56

Step-by-step explanation:

the midsegment SV is half the length of the side TU , that is

y - 9 = [tex]\frac{1}{2}[/tex] (y + 38) ← multiply both sides by 2 to clear the fraction

2y - 18 = y + 38 ( subtract y from both sides )

y - 18 = 38 ( add 18 to both sides )

y = 56

the triathlon is raising money by charging entry fees. They collected $600 in entry fees. Each participant paid $10. How many people paid to participate in the event?

Answers

Answer:

60

Step-by-step explanation:

$600

each person paid $10

600/10

60

consider the graph of the function f(x) = 10^x

Answers

Step-by-step explanation:

I can't see the rest of answer choices so I can't say which is the answer. But the graph of g(x) is going to be shifted to the left 4 units

how do I solve for x here??
I just need help with finding x

Answers

Answer:

  x = 15

Step-by-step explanation:

The solution to any problem is found by making use of the relations you know between the parts of the problem. Here, values of x relate to the arc measures around a circle. The relation you know is the sum of the arcs around a circle is 360°. Using this relation, you can write the equation ...

  7x° +4x° +6x° +7x° = 360°

The equation can be solved for x by making use of the rules of algebra.

  24x = 360 . . . . . . . . . . . . . . divide by °, collect terms

  x = 15 . . . . . . . . . . . . . . . . divide by 24

(a) Find the approximations T10 and M10 for 2 25e1/x dx. 1 (Round your answers to six decimal places.) T10 = M10 = (b) Estimate the errors in the approximations of part (a). (Round your answers to six decimal places.) |ET| ≤ 0.001667 Incorrect: Your answer is incorrect. |EM| ≤ (c) How large do we have to choose n so that the approximations Tn and Mn to the integral in part (a) are accurate to within 0.0001? n = for Tn n = for Mn

Answers

Answer:

A) T10 = 50.549391

    M10 = 50.477547

B)  ║ET10 ║= 0.169093

    ║EM10║= 0.084946

C)for ║ETN ║   N = 421

   for ║EMN ║  N = 292

   Step-by-step explanation:

A) F(x) = 25e[tex]^{\frac{1}{x} }[/tex]

where a = 1, b = 2 and bx = 1/10

attached below is the detailed solution

B) f'(x) = [tex]- \frac{25}{x^{2} } e^{\frac{1}{x} } ,[/tex]   f"(x) = 25 [([tex](\frac{2x+1}{x^4} )e^{\frac{1}{x} }[/tex]

attached below is the detailed solution

5% commission rate of 14.98 is what?

Answers

Answer:

$0.75

Step-by-step explanation:

To find the answer we simply multiply the amount of money earned by the percentage.

So the total amount of money = $14.98

And the percentage = 5%

But I order to calculate this we must first turn the percentage into a decimal. To do this we decide the number of the percentage by 100

In this case that is 5/100=0.05

We can now multiply this by the amount of money to get 0.05*14.98=0.749

We then round our answer to two decimal places (because money can not go past two) to get $0.75

Ben is traveling to Santa Cruz and needs a full tank of gas. A full tank of gas gives him a total of 260 miles until empty. So Ben goes to the gas station to fill up his tank but he only has $11.86. If $11.86 only gives Ben a total of 60 miles until empty, how much money does he need in all, to get a full tank of gas to drive to Santa Cruz? Round your answer to the nearest dollar. ?

Answers

260 miles / 60 miles = 4 1/3

He would need 4 1/3 more gas:


11.86 x 4 1/3 = 51.39


he would need $51.39

The Answer is : $51.39…

what is this one? please help

Answers

Answer: A-$770

Explanation:

Money for overpay: 140 x1.5= 210
Money for 40 hours:560

210+560= $770 total

Question 10

Jordan is trying to graph the following inequality: y < 2x – 10
He plugs in (0, 0) like this: 0 < -10
He decides that this is true, so he shades the side with (0, 0).
What did Jordan do wrong?

Answers

Answer:

Step-by-step explanation:

"0 < -10" is actually false, so Jordan has shaded the wrong side.

Does the relation in the table represent direct variation, inverse variation, or neither? If it is direct or inverse variation, write an equation to represent the relation. Explain your answer.

Answers

Answer:

Indirect variation

Step-by-step explanation:

If two variables change in inverse proportion, then it is called indirect variation.

xy = k where k is a constant.

5*2 = 10

10*1 =10

[tex]15*\dfrac{2}{3}=5*2=10\\\\\\20*\dfrac{1}{2}=10[/tex]

So, this is indirect variation.

A factory needs to produce 1,800 jars of peanut butter on a certain day.
They start production at 8:30 A.M. By 10:30 A.M., they have produced 600 jars of peanut butter.
At what time will they complete the total number of jars that they need to produce?
A. 12:30 P.M.
B. 1:30 P.M.
C. 2:30 P.M.
D. 3:30 P.M.

Answers

Answer:

I think the answer is D

Which expression is equivalent to |18|+ |-7|?

Answers

Answer:

18+7

Step-by-step explanation:

Please solve these I need them

Answers

Answer:

option a might be correct but I am not sure maybe you should consult a tutor because he or she may know better than me

Kim and Stacy like to make necklaces. Kim has made 252525 necklaces, and Stacy has made ttt necklaces. They have made a total of 575757 necklaces all together.
Write an equation to describe this situation.
How many necklaces did Stacy make?

Answers

Answer: 575757-252525=323232

Step-by-step explanation:

if the total is 575757 then you just have to subtract how many Kim made to figure out how many Stacy made

√6 + √5
please help me answere this qustion in STEP - BY - STEP solution

Answers

Answer:

√6 + √5= 4.69

Step-by-step explanation:

First,  simplify the radicals-

in this situation, we have nothing to simplify.

√6 = aprx 2.45

√5 = aprx 2.23

√6 + √5= 4.685

= aprx 4.69

For every 3 boys there is 5 girls. If there is 40 students in total. How many are boys?

Answers

Answer:

15

Step-by-step explanation:

Answer:

15 boys

Step-by-step explanation:

3+5=8

40/8=5

3X5=15

Turn y=1/2x + 3/2 into standard form ​

Answers

Answer:  x - 2y = -3

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

Work Shown:

y = (1/2)x + 3/2

2y = x + 3 .... multiply every term by the LCD 2

2y-x = 3 ... subtract x from both sides

-x+2y = 3

x-2y = -3 ... multiply both sides by -1

The last step is done so that the x coefficient is positive

The equation is in the form Ax+By = C with

A = 1B = -2C = -3

You could have your answer as -x+2y = 3, since that is also in standard form. But many math textbooks make A > 0.

The graph shows y = cot(x). Which of the following are true of its inverse? Check all that apply.

Zeros: None
Domain: All real numbers
Range: [0, π]
Minimum: 0
Maximum: None
Increasing intervals: The entirety of its domain

Answers

Answer:

Zeroes: None

Domain: All real numbers

Maximum: None

Step-by-step explanation:

EDGE PRECAL 2020

Answer:ZERO-none

Domain:all real numbers

Maximum:nun

Step-by-step explanation:

What is the value of s?

Answers

The sum of interior angles of a triangle is 180
2s+3s+50=180
5s=130
S=26

Answer:

s = 26°

Step-by-step explanation:

The total degrees of a triangle is 180°

1. Create the formula: [tex]180=50+2s+3s[/tex]

2. Solve for S

[tex]180=50+2s+3s\\180=50+5s \\ 180-50=5s \\ 130=5s\\\frac{130}{5} =s \\ 26=s[/tex]

3. Check by plugging in 26

[tex]180=50+2(26)+3(26)\\ 180=50+52+78\\ 180=180[/tex]

Jeff earns money mowing lawns. His earnings and hours worked represent a direct variation. He worked for 5 hours and earned $37.50. Determine the constant of proportionality for dollars earned per hours worked and for hours worked per dollars earned.

Answers

Answer:

$7.50 are earned per hour

Step-by-step explanation:

5x = 37.50

divide both sides by 5

x = 7.50

A number divided by three is three

Answers

Answer:

9

Step-by-step explanation:

Mom is getting food ready for my birthday party! including me, there will be 24 people at the party. Mom is baking cupcakes for us! She can bake 16 cupecakes per batch. How many batch should i tell Mom to make so we can each have 4 cupcakes

Answers

You should tell your mom to bake 8 cupcake batches

What is the multiplicative inverse of the number 5?
A. -1/5
B. 0
C. 1
D. 1/5

Answers

Answer:

1/5

Step-by-step explanation:

It's just the inverse of the number or 1 over the number you have

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