PLEASE HELP!!!
In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint
of BC. If m of ZCAD?

PLEASE HELP!!! In The Diagram Below Of Triangle ABC, D Is A Midpoint Of AB And E Is A Midpointof BC.

Answers

Answer 1

Answer:

The measure of ∠CAD is 69°

Step-by-step explanation:

In ΔABC

∵ D is the mid-point of AB

∵ E is the mid-point of BC

DE is parallel to AC

→ From parallelism

∵ DE // AC

m∠EDB = m∠CAD → corresponding angles

∵ m∠EDB = 83 - 7x

∵ m∠CAD = 7x + 55

→ Equate them

7x + 55 = 83 - 7x

→ Add 7x to both sides

∵ 7x + 7x + 55 = 83 - 7x + 7x

∴ 14x + 55 = 83

→ Subtract 55 from both sides

∵ 14x + 55 - 55 = 83 - 55

∴ 14x = 28

→ Divide both sides by 14

x = 2

→ To find m∠CAD, substitute x by 2 in its measure

∵ m∠CAD = 7(2) + 55

∴ m∠CAD = 14 + 55

∴ m∠CAD = 69°

The measure of ∠CAD is 69°


Related Questions

pls help me solve this

Answers

Answer:

x=10

Step-by-step explanation:

Because BC is a mid segment

Answer:

10

Step-by-step explanation:

These are similar triangles, which means that the ratio between 16 to 8 will equal x+10 to x. This could be written out as 16/8 = x+10/x. 16/8 is 2, which means that x+10 is twice the amount of x. We can write this out as 2x = x+10. We can then simplify this and get x = 10

Question 24 (1 point)
Which of the following is NOT a Congruence Postulate/Theorem
SSS
4
АА
SAS
ASA

Answers

AA is not a congruence Postulate/ Theorem

for geometry help thanks <33

Answers

Answer:

12

Step-by-step explanation:

At a real estate​ agency, an agent sold a house for ​$396,000. The commission rate is ​7.5% for the real estate agency and the commission rate for the agent is ​20% of the amount the real estate agency gets. How much did the agency make on the​ house? How much did the agent earn in​ commission?

Answers

Answer:

$29,700 and $79,200

Step-by-step explanation:

Step one:

given

The selling price of the house is  ​$396,000

The commission rate is ​7.5% for the real estate agency

The commission rate for the agent is ​20%

Step two:

1. How much did the agency make on the​ house?

This amount is 7.5% of $396,000

= 7.5/100*396,000

= 0.075*396,000

=$29,700

2. How much did the agent earn in​ commission?

This amount is 20% of $396,000

= 20/100*396,000

= 0.2*396,000

=$79,200

In which quadrant is point C located

Answers

Answer:

Quadrant 4

Step-by-step explanation:

a boat used 1/24 of a gallon of gas to drive 1/3 of a mile.At this rate how many miles can the boat go using 1 gallon of gas.

Answers

The answer is:

8 miles

help. answer is not D

Answers

Answer:

It would be C or B

Step-by-step explanation:

can't be A because A is 0 and there is no way you could be able to draw 0 lines so it would most likely be C

Someone please help me I’m struggling rn

Answers

Answer:

HAVE A GOOD DAY !! YAYAYA

If the height of Mount Everest is about 8.8 time 10 to the third power meters and the height of the Empire State Building is about 3.8 times 10 to the second power meters which of these statements is a true

Answers

Answer: C. Mount Everest is about 23 times as tall as the Empire State Building

Step-by-step explanation:

The options are:

A.There is no way to compare these heights

B.Mount Everest is about 40 times as tall as the Empire State Building

C.Mount Everest is about 23 times as tall as the Empire State Building

D.The Empire State Building is about 23 times as tall as Mount Everest

Mount Everest = 8.8×10^3 meters = 8800 meters

Empire State Building = 3.8×10^2 = 380 meters

Mount Everest is (8800 / 23) = 33 times as tall as the Empire State Building. Therefore, the correct option is C.

Answer:

Mount Everest is about 23 times as tall as the Empire State Building. Hope that helps!

Please help! I’ll mark brainlist and 5 stars!

(You have to see which one is right for the sentence provided, and which ones are false out of A-D)

A. The equation of the line is y = 1/2x

B. Sasha can make 60 gift bags in 2 hours.

C. The constant of proportionality is l = 1/2

D. Sasha can make 2 bags per minute.

Answers

Answer:

D

Step-by-step explanation:

The reason D is false is because it states that Sasha can make 2 bags per minute while she cant make 2 bags per minute. She can make half a bag per minute. D is wrong 100%

Answer:

Step-by-step explanation:

Distance covered = speed × time.

Sasha runs at a constant speed of 3.8 meters per second for 1/2 hour.

This means distance covered while running would be

3.8 × 1/2 = 1.9 meters

Then she walks at a constant rate of 1.5 meters per second for 1/2 hour. This means distance covered while walking would be

1.5 × 1/2 = 0.75 meters

Total distance that Sasha covered while running and walking in 60 minutes would be

1.9 + 0.75 = 2.65 meters

Step-by-step explanation:

pls helppp
math work
bleh

Answers

Answer:

m = -10

Step-by-step explanation:

>:)

Answer:

m= -10

Step-by-step explanation:

2< -7 - (-10)

2< -7 + 10

2< 3

plz help it’s the pythagorean theorem

Answers

36 bc IK jansunavaihabsuz

NEED ANSWER ASAP!!!!!!!!
An airplane is flying at 32,000 feet when it starts it’s decent. It is
descending at a rate of 2000 feet per minute. Let x represent the minutes
of the flights descent and y represent the plane’s altitude.

a. Fill in the table.

b. Write an equation in slope-intercept form for the plane’s altitude.
c. Graph the equation from part (b).

Answers

Step-by-step explanation:

table

0 32000

1 30000

2 28000

3 26000

4 24000

question 2

y= - 2000*x+32000

graphic

Write an equation to represent the table. (1 point)

Boxes of Candy
5
7
9
Pieces of Candy
80
112
144

Answers

9514 1404 393

Answer:

  pieces of candy = 16 × boxes of candy

Step-by-step explanation:

Each "pieces" number is 16 times the corresponding "boxes" number, so we can write ...

  pieces of candy = 16 × boxes of candy

__

If you like, you can assign variables. Let x = boxes of candy, and y = pieces of candy. Then you have ...

  y = 16x

I'll give 15 points for this question ​

Answers

Answer:

4. Is 6 eggs

5. Is 7 eggs

Step-by-step explanation:

The expression ( x − 12 ) is a factor of x 2 + p x − 48 . What is the value of p ?

Answers

Answer:

p = -8

Step-by-step explanation:

Since, (x - 12) is a factor, then;

x - 12 = 0

x = 12

substitute the value of x in the equation

[tex]x^{2}[/tex] + px - 48 = 0

[tex](12)^{2}[/tex]  + 12p - 48 = 0

144 + 12p -48

12p = -144 + 48

12p = -96

p = -8

So that,

[tex]x^{2}[/tex] +-8x - 48 = 0

[tex]x^{2}[/tex] -12x + 4X- 48 = 0

([tex]x^{2}[/tex] -12x) + (4X- 48)

X(X - 12) + 4(X - 12)

(X - 12) (X + 4)

Therefore, p = -8 and (X - 12) (X + 4) are factors of the equation.

pls help :( i’ll give brainliest

Answers

Answer:

x=12; Converse of conrresponding angles postulate

Step-by-step explanation:

On parrallel lines the corresponding angles are equal. To find x we can set up the equation up like this:

8x-17=5x+19

Solve

X=12

The converse used was the Converse of Corresponding Angles Postulate

CAN SOMEONE ASAP HELP ME PLEASE

Answers

Answer:

Step-by-step explanation:

6+11=17/2*8=136/2

68.

Write an equation of the line that passes through (-4,3) and (0,6
)

Answers

Answer:

y=¾+8

Step-by-step explanation:

Using the approach y-y1=m(x-x1),where m is the slope defined by ∆y/∆x

So ∆y/∆x=y2-y1/x2-x1

m=6-3/0-(-4)

m=¾

Now plug in m=¾ into the approach and simplify

y-3=¾(x-(-4))

y-3=¾(x+4) Multiply through by 4

4y-12=3x+12 Transpose it for y

4y=3x+12+12

4y=3x+24 divide through by 4

y=¾+8

Find the 52nd term of the arithmetic sequence-8, -12, -16,...

Answers

Answer:

-212

Step-by-step explanation:

This question seems to be incrementing by steps of -4, starting at -8.  To get the 52'nd term, we can simply start at the first term and add that -4 51 more times.

Assuming that negative eight is the first term then, we get:

-8 - 4 * 51

= -8 - 204

= -212

The 52nd term of the sequence will be -212.

What is a sequence?

A sequence of events or things is a number of events or things that come one after another in a particular order.

Given a sequence, -8, -12, -16,...

nth term of a sequence is given by

an = a + (n-1)*d

a(-212) = -8 + (52-1)*-4

a(-212) = -8-204

a(-212) = -212

Hence, The 52nd term of the sequence will be -212.

For more references on sequences, click;

https://brainly.com/question/21961097

#SPJ5

Suri saved $50 of her paycheck the first week she worked and $25 of her paycheck each week after the first week.
How many weeks did it take Suri to save a total of $1,000?

Answers

Answer: 40 weeks

Step-by-step explanation:

1000/x=25

1000 divided by 25=40

x=40 weeks

Nathan has a 16 ounce energy drink. He drinks 9 ounces. Enter the percentage of ounces Nathan has left of his energy drink. Round your answer to the nearest hundredth

Answers

Answer:

56%

Step-by-step explanation:

Let me know if you need an explanation! Hope this helped :)

Answer:

43.75%

Step-by-step explanation:

step 1

16-9=7

7ounce remains

step2

7 of 16 ounce remains

convert into percentge

7/16×100=43.75%

I’ll love you forever if you help me with this ASAP PLEASE

Answers

Answer:

y = 4

or (0, 4)

Step-by-step explanation:

intersecting the y-axis is basically when x is equal to 0.

1.5(0) +4.5y = 18

y = 4

So your y-intersect is (0, 4) and thats when it intersects the y-axis.

y= 4 Hope it helps! <3

Florida is bordered by water on three sides. Which property of water helps moderate Florida’s coastal areas?

low specific heat, which results in fast, large changes in water temperature
high specific heat, which results in fast, large changes in water temperature
low specific heat, which results in slow, small changes in water temperature
high specific heat, which results in slow, small changes in water temperature

Answers

Answer:

high specific heat, which results in slow, small changes in water temperature

Step-by-step explanation:

Got it right on edge

Answer:

D. high specific heat, which results in slow, small changes in water temperature  

Step-by-step explanation:

got it right on edge

Find the slope of the line.

I WILL MARK BRAINYLIST JUST HELP MEEE

Answers

Answer:

-1/3

Step-by-step explanation:

join the zoom call and i can explain that way when another question comes no need to waste points: 73216153508 thats the code to join

A. the slope is -1/3 because you are going down 1 and over 3.

Use the sketch tool to indicate what Edwin is describing as the parabola's "turning point."

Answers

Answer:

The sketch tool to indicate what Edwin is describing as the parabola's "turning point'' is described below in details.

Step-by-step explanation:

We can see in graph that it intersect X axis and it is open upward it means turning point is below X axis, we can find turning point by find maximum value of Y If open downward and minimum value, if open upward here we can find that minimum point is (3, -5). also you can draw axis of symmetry parabola and finds its intersection with turning point can also be named vertex of parabola.

-3/4-5/8=
This is a simple math problem
But it’s to hard for me
And I really need help
Not from someone who doesn’t know the answer

Answers

-11/8 because you turn the first one into -6/8 and then subtract to get -11/8

An 8-column table with 14 rows titled Table 1, Employment by major industry sector, 1996, 2006, and projected 2016. Column 1 is labeled Industry sector with entries services-providing, utilities, wholesale trade, retail trade, transportation and warehousing, information, financial activities, professional and business services, educational services, health care and social assistance, leisure and hospitality, other services, federal government, state and local government. Column 2 is thousands of jobs in 1996 with entries 97,042.9, 639.5, 5,522.1, 14,142.6, 3,935.5, 2,940, 6,968.6, 13,461.8, 2,077.5, 11,604.8, 10,776.5, 5,434.9, 2,877, 16,662.1. Column 3 is labeled thousands of jobs in 2006 with entries 114,407.3, 548.5, 5,897.7, 15,319.4, 4,465.8, 3,054.9, 8,363.2, 17,551.6, 2,918.4, 14,919.8, 13,143.4, 6,234.6, 2,728.3, 19,261.7. Column 4 is labeled thousands of jobs in 2016 with entries 130,189.7, 517.6, 6,326.2, 16,006.4, 4,962, 3,266.7, 9,570.1, 21,643.7, 3,527.4, 18,954.1, 15,016.7, 7,077.2, 2,625.7, 20,696.1. Column 5 is labeled Numeric change 1996 to 2006 with entries 17,354.4, negative 91, 375.6, 1,176.8, 530.3, 114.9, 1,394.6, 4,089.8, 840.9, 3,315, 2,366.9, 799.7, negative 148.7, 2,599.6. Column 6 is labeled numeric change 2006 to 2016 with entries 15,782.4, negative 30.9, 428.5, 687, 496.2, 211.8, 1,206.9, 4,092.1, 609, 4,034.3, 1,873.3, 842.6, negative 102.6, 1,434.4. Column 7 is labeled Average annual rate of change, 1996 to 2006 with entries 1.7, negative 1.5, .7, .8, 1.3, .4, 1.8, 2.7, 3.5, 2, 1.4, negative .5, 1.5. Column 8 is labeled average annual rate of change, 2006 to 2016 with entries 1.3, negative .6, .7, .4, 1.1, .7, 1.4, 2.1, 1.9, 2.4, 1.3, 1.3, negative .4, .7. Based on the above chart, which industry’s average annual rate of change is projected to decrease the most in the 2006-2016 period as compared to its average annual rate of change during 1996-2006? a. Utilities b. Educational services c. Federal government d. State and local government

Answers

Answer:

It's not A or D it has to be B or C.

Step-by-step explanation: i just took the quiz on edge and it wasn't  A or D.

Answer:

Its B

Step-by-step explanation:

4x^3(5x) = what,
will mark brainliest

Answers

Answer:

the answer is 20x^4

Step-by-step explanation:

too long to explain, simple answewr

Find the original ordered pairs.

Answers

You se I’m so dum I can’t do this good lick
Other Questions
Long-wavelength infrared cameras detect infrared radiation with a wavelength of 1.0 x 10-5 meters. How much energy is in these waves? Talas Name and describe three important architectural advancements that are featured heavily in Roman architecture. Name and describe some famous Roman buildings or architectural achievements. which element will chemically combine with fluorine to form a salt?a. carbonb. lithiumc. neond. oxygen Newton's first law of motion: Objects in motion will stay in motion and objects at rest will stay at rest, unless acted on bya. frictionb. accelerationc. unbalanced forced. contact force 1. what is public opinion ? a, views of the media about government policies. b, views of the people on issues of public interest.c, views of parents on their child's performance. 1.) Any difference between members of the same species is:A.) AdaptationB.) OverproductionC.) VariationD.) Competition2.) Claw length on Galapagos Island iguanas is an adaptation to its.A.) Predators B.) Habitat C.) ClimateD.) Attractiveness to mates3.) Which of the choices below provide direct evidence of evolution?A.) Fossils B.) Plate tectonicsC.) The Cambrian ExplosionD.) DNA E.) All the above F.) None of the aboveG.) Both A and D4.) The earliest multicelled organisms on Earth were.A.) BacteriaB.) VertebratesC.) InvertebratesD.) Plants5.) Overproduction takes place when:A.) Organisms have to fight for resources.B.) Humans choose which organisms can reproduce.C.) There are differences in organisms of the same species.D.) Organisms have more offspring than can possibly survive.6.) Scientists can determine the absolute age of rocks through:A.) The Law of SuperstitionB.) Index fossilsC.) Radioactive datingD.) Fault lines7.) Humans showed up on the geological time scale during the:A.) Mesozoic EraB.) Cambrian PeriodC.) Cretaceous PeriodD.) Cenozoic Period8.) What change in Earth's atmosphere allowed life to form?A.) Solar radiation split moleculesB.) A meteor strikeC.) The formation of the oceansD.) The development of an ozone layer.PLEASE HELP!!!!!!!! Two students (90.0 kg and 60.0 kg) on roller skates face-to-face push against each other. The 90.0 kg student moves at 5.0 m/s just after their hands lose contact. What is the velocity of the other student? THIS IS DO TODAY I NEED HELP PLS what is the name of the covalent compound N5Cl8 What is the value of 2y- 6 if y = 12 Write the equation in slope-intercept form of the line that passes through the points (5,4) and (16,) How many students voted for eachparticipant? A map has a scale factor of 1 in=20 miles. If the distance between Dallas and Chicago was 9 inches on the map, how many miles is it in real life?A. 20 milesB. 180 milesC. 200 milesD. 10 milesPLS HELP ME LIKE NOW PLS!?! The balance in Alex's bank account is $675. The accountearns 6% simple interest calculated twice per year. If Alexmakes no deposits or withdrawals for 2 full years, thebalance in his account (rounded to the nearest dollar) willbe -Select one:O$852$715$837$756 What does the underlined word mean in the following sentence?Je ris parce qu'il est marrant._______sillybrownmarriedfunny Which statement is true?13(n+3)=13n+31 third times open paren n plus 3 close paren is equal to 1 third n plus 313(n+3)=13n+11 third times open paren n plus 3 close paren is equal to 1 third n plus 113(n+3)=13n+3131 third times open paren n plus 3 close paren is equal to 1 third n plus 3 and 1 third13(n+3)=13n+43 who is good at chemistry?! HMU asap!!! PLEASE HELP A HOMIIE need answers help !!! it / know/says/ better/ she/ that/ to/ is/ this.