Mathematics High School

a) BCD is a straight line.
Triangle ABC is equilateral.
CE = DE
E
Not drawn
accurately
А
320
B
С
Work out the size of angle x.
(4)​

A) BCD Is A Straight Line.Triangle ABC Is Equilateral.CE = DEENot Drawnaccurately320BWork Out The Size

Answers

Answer 1

Answer:

x = 46°

Step-by-step explanation:

Since Δ ABC is equilateral then interior angles = 60°

Since CE = DE then Δ CDE is isosceles and the base angles are congruent, so

∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°

BCD is a straight line, then the 3 angles on it sum to 180°, that is

60° + 74° + x = 180°

134° + x = 180° ( subtract 134° from both sides )

x = 46°

Related Questions

Some friends went hiking. The very top of a trail was a total of 26 miles from town, where the friends began their journey. They drove 8 more miles than they walked on the trail. How far did the friends walk? How far did the friends drive?
Please give steps.

Answers

they walked 52 and drove 16

26x2=52 and 8x2=16

What is 4 divided by 888

Answers

Answer:

0.0045045045

Step-by-step explanation:

Have a good day I hope this helps! :)

Find the equation of the line shown

Answers

Answer:

x+1

Step-by-step explanation:

The answer for the question would be x+1 hope that helps

Please help out , i’ll mark the brainliest answer

Answers

Answer:

Step-by-step explanation:

7) The tangent angles are 90° each.

The angles of a quadrilateral add up to 360°, so ? = 360°-90°-90°-73° = 107°.

8)  Solve this the same way as question 7). ? = 360°-90°-90°-57° = 123°.

Questions 9) and 10) are cut off, so I assume you don't need to know those.

the first ones D) 107° and the second one A) 123°

the tangents r 90° btw and there’s a total of 360° in a quadrilateral so u do 360-90-90-(the angle eg 73)

how many factors of 10 are in 10 of the third power?

Answers

Answer:2 times 5 equals 10

Step-by-step explanation:

"The factors of 10 are 1, 2, 5, and 10. You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10." From ww.infoplease.com great resource

The required factor of 10 in 10 of the third power is 3.

What are the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,

10 of the third power = 10³
10³ = 10×10×10
The expression 10×10×10 has 3, 10's

Thus, the required factor of 10 in 10 of the third power is 3.

Learn more about Factors here:

https://brainly.com/question/24182713

#SPJ5

A color document measures 10 by 15 inches. It must be reduced so that the longest side measures 3 inches. What will the dimensions of the document be once it is resized?

Answers

The dimensions would be 2 by 3 because 15 divided by 5 would be there and 10 divided by 5 would be 2 so the final answer would be 2 by 3 :)

Answer:

C

Step-by-step explanation:

Can someone help me on this plzzz??

Answers

Answer:

add to elimanate y.

Step-by-step explanation:

Someone please help with this math problem!!!

Answers

Answer:

15

Step-by-step explanation:

Hey bebe you lookin good

what do I do plssss I don’t know it’s a number trick htw

Answers

Answer:

no sé cómo se hace porque estoy en primaria

DUE in a couple of minutes!!help me out with this question (geometry)

Answers

Angle 1 for the measurement it is going to be 58 degrees if that’s what you are looking for and if you are the equation is going to be 6(8)+10 and that will give you 58

Hi, can someone help me with my math homework? I just need help with B.

Answers

Answer:

8

Step-by-step explanation:

Answer:    8 sections

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

Explanation:

Let's convert the mixed number 5 & 1/3 to an improper fraction.

The formula to use is

a & b/c = (a*c + b)/c

So,

a & b/c = (a*c + b)/c

5 & 1/3 = (5*3 + 1)/3

5 & 1/3 = 16/3

Imagine you had 16 pieces of candy, and imagine you wanted to divide that up amongst 3 friends. Each friend would get 15/3 = 5 whole pieces. There would be 1 candy left over. The 5 and 1 help then form the 5 & 1/3. So this is one way to visualize how 5 & 1/3 is the same as 16/3.

Another way to see why this works is to note how 16/3 = 5.333 approximately. The '5' before the decimal point is the whole part of the mixed number 5 & 1/3; the decimal portion 0.333 is the approximate value of the fractional part 1/3.

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

The total length of fencing needed is 16/3 yards. Each section is 2/3 of a yard long. Since both denominators are "thirds", we can ignore them. An equivalent problem is this: "He needs 16 yards of fencing and each section is 2 yards long"

Based on the new problem without fractions involved, we can see that he'll need 16/2 = 8 sections in total.

You should find that dividing (16/3) over (2/3) will lead to 8 as well. You could say this:

(16/3) divide (2/3) = (16/3)*(3/2) = (16*3)/(3*2) = 48/6 = 8

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

An alternative method:

Let's start with 2/3 of a yard. That doubles to 4/3 which is the same as 1 & 1/3. Think of it as 4/3 = (3+1)/3 = 3/3+1/3 = 1+1/3 = 1 & 1/3.

Next, we'll double 1 & 1/3 to land on 2 & 2/3. You simply multiply each '1' by 2 to end up with those '2's shown.

Now we'll double 2 & 2/3 like so:

2*(2 & 2/3) = 2*(2 + 2/3) = 4 + 4/3 = 4 + (1+1/3) = 5 + 1/3 = 5 & 1/3

The act of doubling exactly three times leads to us ultimately multiplying by 2*2*2 = 8, so he needs 8 sections that are each 2/3 of a yard long.

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

Whichever method you prefer, the final answer is 8 sections.

Last week, the price of gas was $2.25 per gallon. This week,
the price of gas has increased by 4%. What is the price of gas
this week?
G

Answers

Answer:

$2.25 + 4% = $2.34

It increased by 9 cents

Step-by-step explanation:

Emily needs 21 feet of wire. Andy needs 15 feet of wire. How much will each of them spend for wire?

Answers

Answer:

$540.

Step-by-step explanation:

Aprrox some wire cost $15. And 21 x 15= 315. And 15 x 15= 225, so you add and you should have $540.

PLEASE help me this is due tomorrow!!
Frodo goes to New Army and buys two pairs of Jeans for $19.99 each, 3 shirts at $7.99 each, and a pack of socks for $5. He has a coupon for 25% off his
entire purchase. Sales tax Is 7 3/4%. What is the total cost after the discount and tax? $

Answers

Answer:

$55.72 that is the rounded to the nearest cent the exact answer is 55.72021875

Which of the following fractions is equivalent to 3/8


️ 6/14


️9/24


©️4/9


R 15/35

plzzz help I'm on a test I'll give u brainliest​

Answers

Answer:

9/24

Step-by-step explanation:

This is because when we multiply 3/8 with 3 in both numerator and denominator we get,

[tex] \frac{3 \times 3}{8 \times 3} = \frac{9}{24} [/tex]

Hence, 9/24 is required answer.

Answer:

9/24

Step-by-step explanation:

Fraction             Equivalent Fractions

3/8          6/16               9/24

Help I will be marking brainliest!!!

A. 4.95 feet
B. 21.44 feet
C. 22.58 feet
D. 21.99 feet

Show work, if possible. Thanks❤️

Answers

I think that it would be the first one A
Answer is A because with the greatest angle, ladder will reach more near to house. If the angle is more ladder will reach more near feet to house .

How many ratios ratios are needed to solve a percent problem?​

Answers

Answer:

two ratios

Step-by-step explanation:

you need two to be able to solve it

Answer:

2 ratios

Step-by-step explanation:

help me pls this is 8th grade math fastest answer gets brainliest show work pls

Answers

Answer:

1: x ^11

2: y ^12

3: x^ 7

Step-by-step explanation:

In 1 we give the sum

In 2 we give the multiple

In 3 we minus

Answer:

1. x^11 2. x^7 3. y^12

Step-by-step explanation:

1. you add the exponents together 8+3 = 11 2. you subtract the exponents 9-2=7 3. you multiple the exponents 4x3=12

Joseph plots the speed of his car and time on a scatter plot. The equation for the line of best fit on his scatter plot is y = -15x + 60, where x is the time in hours and y is the speed in miles/hour. Which statement describes the situation correctly?
A.
The initial speed is 60 miles/hour, and his speed decreases by 15 miles/hour every hour.
B.
The initial speed is 60 miles/hour, and his speed increases by 15 miles/hour every hour.
C.
The initial speed is 0 miles/hour, and his speed increases by 15 miles/hour every hour.
D.
The initial speed is 5 miles/hour, and his speed increases by 30 miles/hour every hour.

Answers

Answer:

A

Step-by-step explanation:

His speed change is the slope or -15, decreases by 15 miles/hour

when he starts, his speed is 0*-15+60 = 60 miles/hour

Answer:

a

Step-by-step explanation:

Which answer represents 81,020,000,000 in scientific notation?
OA)
9
81.02 X 10
W
ОВ)
10
8.102 x 10
OC)
9
8.102 x 10
OD)
11
0.8102 x 10

Answers

B. 8.102 x 10^10
Cuz 8.102 x 10 = 81,020,000,000

Answer:

The answer is: 8.102×10^10

Element X decays radioactively with a half life of 9 minutes. If there are 860
grams of Element X, how long, to the nearest tenth of a minute, would it take
the element to decay to 94 grams?

Answers

Answer:28.7 minutes

Step-by-step explanation:

Find the greatest common factor of 8m and 12m^3

Answers

the greatest common factor is 4

Please help math sucks

Answers

Formula: is/of = %/100

Please help im desperate. :)​

Answers

Answer:

b is ya answer hope you have a blessed day

Step-by-step explanation:

Answer:

C undefined sorry im rushing

What is the value of n when 13+5n=54

Answers

Answer:

n = 8.2

Step-by-step explanation:

54 - 13 = 41

5n = 41

41/5 = 8.2

n=8.2

A circle has a radius of twenty-one centimeters.
Find the circumference. Round your answer to the nearest hundredth. Use 3.14 for π.

Answers

Answer:

313 is the answer

Step-by-step explanation:

gctckfjgufyd

If staff salaries were $44,000/month last year, and the yearly labor cost increase from last year to this year is $108,000, what is the monthly labor cost this year?

Answers

Answer:

53,000

Step-by-step explanation:

In your own words, describe what the word "congruent" means.

Answers

Answer:

heres a sentence using it

Eating five chocolate bars is not congruent with your plan for losing weight.

Triangles are considered congruent when they have the same angles.

it means

having the same size and shape

Answer:

Congruent

Step-by-step explanation:

Multiple objects the work well together.

Hope this helps (:

pls help !!!!!!!!!!!!!!!!

Answers

Answer: A. y = 4x + 3 is the correct answer.

Willy is creating a garden this is the diagram of willy's garden what is the area of the garden he's going to build. 32ft,26ft,10ft driveway 20ft,7ft garden 14ft.

Answers

Answer:

the answer is 230 ft squared

Step-by-step explanation:

We can solve this by subtracting the area of the driveway from the entire rectangle

The area of a rectangle is , so multiplying 14 by 32, we get 448

Now we need to find the area of the driveway. We can split up the driveway into 2 rectangles, one big rectangle at the left and a tiny rectangle in the upper right.

To find the area of the big rectangle in the driveway, we multiply 10 by 20, getting 200.

To find the area of the tiny rectangle in the driveway, we subtract 20 from 26 to find the length, which is 6.

Now we need to find the width of the tiny rectangle. We can do this by subtracting 7 from 10, getting 3.

Multiplying 6 by 3, we get 18, so the area of the tiny rectangle is 18.

Adding 200 to 18, we get 218, so the area of the driveway is 218 ft squared.

Now we need to subtract 218 from 448.

448-218=230

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