Mathematics High School

In the given diagram ⃤ ABC and ⃤ CDE are equilateral triangles. If ∠EBD = 62° then find the measure of 1/2 of ∠AEB.

Answers

Answer 1

Answer:

Given

△ABC and △CDE are equilateral.

= 25

To find perimeters of the two triangles,

Let us consider the lengths of

and

to be

′

and

′

y respectively.

As △ABC is equilateral,

= x

As △CDE is equilateral,

= y

From the figure,

25 = x + y

x + y = 25

Perimeter of the triangle is the sum of all sides of the triangle.

For △ABC,

Perimeter of △ABC =

= x + x + x

= 3x

For △CDE,

Perimeter of △CDE =

= y + y + y

= 3y

Now,

Perimeter of two triangles = Perimeter of △ABC + Perimeter of △CDE

= 3x + 3y

= 3 × (x + y)

= 3 × 25 (from above)

= 75

Therefore, Perimeter of the two triangles is'75′units.

Step-by-step explanation:

Hope it is helpful...

Related Questions

Which similarity statement is true?

ASRQ - ATRS
ASRQ - ARTQ
ASRQ - ARTS
ASRQ-AQRT

Answers

Answer:

It would be B (The 2nd option)

Step-by-step explanation:

The two triangles that can be considered similar are RTQ and SRQ. These two have one right angle and share angle Q, make them similar by AAA.

Both the 2nd option and the 4th option mention these triangles, but the triangles are not named correctly in the 4th option.

The similarity statement that is true is

ΔSRQ - ΔRTQ

The correct option is B.

What is congruent?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

The two triangles that are similar are RTQ and SRQ. According to the AAA (Angle-Angle-Angle) similarity criterion, since they share two congruent angles, ∠RTS and ∠STQ, they must be similar. Therefore, we can write:

ΔRTQ ~ ΔSRQ

This similarity statement means that triangle RTQ is similar to triangle SRQ. So, we can use the corresponding parts of similar triangles to write:

SR / RT = SQ / TQ = RQ / RQ

where SR, RT, SQ, TQ, and RQ are the corresponding side lengths of the two triangles.

Since RQ / RQ = 1, we can simplify the above equation to:

SR / RT = SQ / TQ

This means that the ratios of the corresponding side lengths of the two triangles are equal. We can use this to find the true similarity statement:

ΔSRQ ~ ΔRTQ

So, the correct similarity statement is:

ΔSRQ - ΔRTQ.

To learn more about the congruent;

https://brainly.com/question/12413243

#SPJ7

in the diagram below, the expression in each circle is the result of the sun of the two rectangles connected to it. complete the diagram, writing the expressions in their simplified form

Answers

Answer:

this is the answer for the empty circle and rectangle

A cylinder has a base radius of 7in and a height of 18in what is its volume in cubic in to the nearest tenths place

Answers

Answer:

I think the answer is 2,770.9^3

Step-by-step explanation:

Volume = πr2h

= π×72×18

= 882π

= 2770.8847204662 in ^3

SHOW YOUR WORK PLEASE

Answers

Answer:

30 1/2 x 9 1/3 = 284 7/10

Step-by-step explanation:

i just used a calculator.

hope this helps <3

y = 2x + 1

x - y = -3

Is (2, 5) a solution of the system?

Yes
No

Answers

Answer:

Step-by-step explanation:

If you substitute the numbers into either of the two functions when you solve you don't get the right numbers

Jacob has 98 pennies. how many quarters does he have?

Answers

Answer:

If you mean by total of pennies, 3.

If you mean literally then its 0.

Does that even make sense?

1 Quarter - 25

2 quarter - 50

3 quarter - 75

4 quarter - 100.

Jacob has 3 quarters if he has 98 pennies

In the fraction 1/2, the number 1 is:?

Answers

Answer:

the numerator

Step-by-step explanation:

It would be the numerator! Hope this helps

given m and n find the value of x

Answers

Step-by-step explanation:

5x-2 and 5x+2 are corresponding angles

They add up to 180 degrees

5x-2 + 5x + 2 = 180

10x = 180

x = 18

I hope this helps!!!

What is an equation of the line that passes through the point (-1,-3)(−1,−3) and is perpendicular to the line x-2y=14x−2y=14?

Answers

Answer:

No Solution

Step-by-step explanation:

The equations given are:

x-2y=14

14x-2y=14

The only solution to this system is (0, -7) and therefore there is No Solution.

Answer:

y=−2x−5

Step-by-step explanation:

Could someone pls help me If you know it pls ASAP thank you

Answers

Answer: 6 hours

Step-by-step explanation:

25% of 30 = 7.5

5% of 30 = 1.5

7.5 - 1.5 = 6

Tremaine used 6 hours more to play games than to do research.

Answer:

games - 7.5 hours

research - 1.5 hours

7.5-1.5 = 6

He played games 6 hours more than doing research

Step-by-step explanation:

30:100=0.3

1% - 0.3

0.3x5=1.5

0.3x25=7.5

8. Bob bought a pair of tennis shoes on sale
for $72 at a sport's store. The original
price of the shoes was $90. What was the
percent of
decrease
?
PLEASE HELP ASAP

Answers

Answer:

20%

Step-by-step explanation:

So, I would set this up as a proportion-

72 x

90 100

Cross multiply-

100 x 72 = 7200

Divide-

7200/90 = 80

Subtract-

100 - 80 = 20

So, it is a 20% decrease

Prove or disprove that point (4.00, 4.50) lies on circle O centered at the origin.

Answers

Answer:

(4.0 , 4.5) to the center is not the distance of radius

Step-by-step explanation:

circle formula centered at origin: x² + y² = r²

x² + y² = 6² = 36

(4)² + (4.5)² = 16 + 20.25 = 36.25 ≠ 36

Harry purchased a table with Rs. 7000 and sold it at an amount of Rs. 7900. Find his gain percent.

Answers

Answer:

12%

Step-by-step explanation:

Answer:

12.89%

Step-by-step explanation:

[tex] \frac{900}{7000} \times 100 = 12.85714286[/tex]

what is the slope intercept form of (2,3) (1,3)

Answers

Answer:

y=3

Step-by-step explanation:

Lauren needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.25 hours and charged her $51 for parts. The total was $359.75. What was the cost of labor, per hour?

Answers

Answer:

Step-by-step explanation:

Answer: 95

Step-by-step explanation:

Find the Area of a rectangle whose width is 16 inches and diagonal is 20 inches?

What are the dimensions of the rectangle? Show your work and explain how you got your answer in complete sentences.

Answers

Pythagorean’s theorem. 16^2+b^2=20^2
b=12
Area is 12x16=192

98 = 3y - 4 whats tha answer

Answers

Answer:

y = 34

Step-by-step explanation:

Answer:

Step-by-step explanation:

you would add 4 to both sides and get

102=3y

then you would divide by three and get

34=y

9. What is the area of the largest square?
A=?
A = 36
units
A = 64
units.

Answers

The answer is A=64 but I’m not pretty sure

The answer is A hope that works

Writing Assignment: Your friend in another school has just sent you a
screenshot of a math problem and needs your help. IN WORDS, you must
describe how to solve the problem and you must include your solution.
Remember to use COMPLETE sentences. Include math vocabulary (coefficent,
variable, functions, etc) in your verbal description. Here is the problem:
Evaluate if x = 4.
f(x) = = - 3x + 8

Answers

Given that,

f(x) = -3x + 8

To find,

The value of f(x) at x = 4.

Solution,

We have,

f(x) = -3x + 8

We need to find the value of f(x) at x = 4

Pu x = 4 in f(x).

f(4) = -3(4) + 8

= -12 +8

= -4

So, f(4) is equal to -4.

Barbara's gross earnings for the week ending on December 21 amount to \$1,100 . Her cumulative gross earnings for the year up through her tast pay date amount to 55,000. Using the table below, calculate the FICA tax deduction for the current pay period . FICA Tax ( 1496 10%

Answers

Answer:

b) $44

Step-by-step explanation:

Barbara's cumulative gross earnings for the year up through her last pay date amount to 55000.

As per attached table this amount falls in 4% region ($50001 - $70000).

Her tax per current pay period is:

$1100*0.04 = $44

Correct choice is b)

Greg planned for his
company to make $25,000
this month. Instead, they
made $18,000. What is the
percentage difference?

Answers

i looked it up and said 28

gogle

on Tuesday at lunch time , it was 29°C .by sunset , the temperature had dropped to 16°C

Answers

Answer:

viivuvuhc ol xlbhxhx

Step-by-step explanation:

xxx tube xxx s s s s s yh y uinollnkbk j

A triangle in which all of the angles are smaller than 90° is called an ____ ____.

Answers

Answer:

acute triangle

Step-by-step explanation:

simplify expression and combine likes turms 4 (x-2)+2(x-1)

Answers

Answer:

6x - 10

Step-by-step explanation:

4(x - 2) + 2(x - 1) = 4x - 8 + 2x - 2 = 6x - 10

5 star, thank, and brainliest if helpful

Answer:

6x-10

Step-by-step explanation:

4x-8 + 2x-2 is the distributited problem, add together 4x and 2x (6x) and add -8+-2 = -10, put them together.

Alex is a stockbroker. Earns % commission each week. Last week, sold $ worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did he make in commission in 2011?

Answers

Answer:

a. $896

b. $‭46,592‬

Step-by-step explanation:

a. Alex earns 14% of the amount of stock he sells in a week.

The week before he sold $6,400. This means that his earnings in commission are:

= 14% * 6,400

= $896

b. Commission for the year:

If he makes $896 per week, there are 52 weeks in a year. Per year he would make:

= 896 * 52

= $‭46,592‬

Hi I rly need some help plz answer;)

Answers

Answer:

Step-by-step explanation:

1.8kg into grams

1.8kg = 1800 grams

Total toys = 6

Weight of one toy = 1800 ÷ 6 = 300 grams

Weight of 4 toys = 300 x 4 = 1200 grams = 1.2kg

Answer:

Step-by-step explanation:

a) 1 Kg = 1000 grams

1.8 Kg = 1.8 * 1000 = 1800.0 = 1800 grams

b) Weight of one toy = Weight of all the 6 toys ÷ 6

= 1800 ÷ 6

= 300 grams

c) Weight of 4 toys = 4 * 300

= 1200 grams

= 1200 ÷ 1000

= 1.2 Kg

For f (x) = 3x + 1 and g(x) = x^2 -6, find (f-g) (x)

Answers

Answer:

Step-by-step explanation:

(f - g)(x) = f(x) - g(x), so

f(x) - g(x)

= 3x + 1 - (x² - 6) ← distribute by - 1

= 3x + 1 - x² + 6 ← collect like terms

= - x² + 3x + 7 → D

Which of the following is equivalent to 5(y+2k)?
A) 5+10k
B) 5y+2k
2k+10y
D) 10k+5y

Answers

5y+10k because You have to distribute (multiply) the five to y and 2k

Solve for x: 5x + 13 = 1/3(9x – 6) + 7x

Answers

Step-by-step explanation:

5x + 13 = 1/3(9x – 6) + 7x

5x + 13 = 3x-2+7x

5x-3x= -2-13

2x= -15

x= -7.5

Two linear functions are shown. Which function has the greater initial value

Answers

function b ..............

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