Triangles triangle ABC and triangle DEF are similar. Find the angles of these triangles if Mesurements of angle A=100 degrees, and mesurments of angle B=30 degrees.

Answers

Answer 1

Answer:

<D = 100

<E =30

<F =50

Step-by-step explanation

Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e

<A = <D

<B = <E

<C = <F

Given

<A = 100 then <D = 100

<B = 30°, then <E = 30°

To get <F, we will use the expression

<D+<E+<F = 180 (sum of angles in a triangle is 180°)

100+30+<F = 180

130+<F = 180

<F = 180-130

<F = 50°

Hence the measure of <F is 50°


Related Questions

520% of 100 Show Your Work

Answers

Answer:

520% of 100 = 520

Step-by-step explanation:

here, let the number be x

x = (520/100) × 100 (since % means-divide by 100)

x = 520

hence 520% of 100 is 520

Alright here is another question

Answers

Answer:

1/2bh, bh, s²

Step-by-step explanation:

Base x Height = area of rectangle/square, so half it (to get the triangle)

Base x Height = Area of rectangle

And for me, I knew what the last one was since it was the only one left, and isn't the equation for the first two, so an eliminating strategy. :)

Ms. Gregg spent $14 buying fruit
• Apples cost $2 per pound
• Bananas cost $1 per pound.
• What are some possible amounts of pounds of apples and
bananas that Ms. Gregg could have bought?

Answers

Answer:

Ms. Gregg could buy 4 apples and 6 bananas

Step-by-step explanation:

You can split the money and try to get even on each fruit by, getting 4 apples which would be 8 dollars on 4 apples then the extra money would be left over for the bananas which would be six dollars and since the bananas are only 1 dollar you can buy 6 with the leftover money.

Colin buys a car for £6000.
It depreciates at a rate of 6% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

4684.5

Step-by-step explanation:

6000 * (1 - 6%)4 = 4684.5 (1.d.p)

Solve. Show steps. Write the solution set using set-builder notation.
-2<=1-3x<=2
(<= means greater or equal to)

Answers

Answer:

< is greater sign and = is equal to sign

An escape room company has found that their nightly revenue (in dollars)
can be modeled by the function R(c) = -0.6c2 + 54c + 100
where c represents the cost of admission.
15) What cost of admission will maximize nightly revenue?
A)
$45.00
C)
$90.00
B)
$54.00
D)
$100.00

Answers

Answer:

B) 54.00

Step-by-step explanation:

A circle has a diameter with endpoints
C(20, -21) and D(-20, 21). Determine the equation of the circle.

Answers

Answer:

x² + y² = 841

Step-by-step explanation:

Midpoint of diameter is a center of a circle.

Coordinates of midpoint are

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

d = [tex]\sqrt{(x_{2} -x_{1})^2 +(y_{2} -y_{1})^2 }[/tex]

Equation of a circle with center at (h, k) and radius "r" is (x - h)² + (y - k)² = r²

~~~~~~~~~~

C(20, 21)

D(- 20, 21)

( [tex]\frac{-20+20}{2}[/tex] , [tex]\frac{-21+21}{2}[/tex] ) = (0, 0)

d = [tex]\sqrt{(-20-20)^2 +(21+21)^2}[/tex] = √3364 = 58

r = [tex]\frac{d}{2}[/tex] = 29

x² + y² = 29²

x² + y² = 841

Evaluate the expression 43+ (7 - 3) x 2.

Answers

Answer:

51

Step-by-step explanation:

Answer: 51

Step-by-step explanation:

Use PEMDAS. First solve inside the parentheses. You will get 43 + (4) x 2. Then, do the multiplication (4x2). You will have 43+8. And that can be simplified to 51. Hope this helps!

Find the measure of angle A

Answers

Answer:

it is 60 of right angle

Step-by-step explanation:

there

4x+5+13x+90=180
17x+95=180
17x=85
x=5

How can you write a linear function in the form y=mx + b by using the two points given below (0,-2), (2,6)

Answers

Answer:

y = 4x - 2

Step-by-step explanation:

m = y-y/x-x

m = 6-(-2)/2-0

m = 8/2

m = 4

Answer:

y=4x-2

Step-by-step explanation:

19/92 written as a percentage

Answers

Answer:

20.65%

Step-by-step explanation:

[tex] \frac{19}{92} \\ \\ = \frac{19 \times 100}{92} \% \\ \\ = \frac{1900}{92} \% \\ \\ = 20.6521739 \%\\ \\ = 20.65\%[/tex]

Sandy charges each family that she babysits for a flat fee of $10 for the night and $5 extra per
child. Sandy made a total of 30 dollars. Write an equation to represent the number of children
that Sandy watched.

Answers

30 = 5x + 10 so x = 4

At the nearest wholesale 3 bags of cereal cost 28.75 at this rate how much would 5 bags of cereal cost

Answers

Answer:

5 bags will cost $47.09

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

28.75/3=9.58
9.58*5=47.9
So the answer is 47.9

plz help............ ​

Answers

4. x.y

Step-by-step explanation:

thats the answer, Its number 4

The answers are 7, 15, 5, and 10

Can some people of brainly do this stuff for my little cousin i dont know what i'm doing.

Answers

Answer:

21=1 x 21

21=3 x 7

Step-by-step explanation:

pls mark brainliest to help rank :)

1) 1

2) 7

i hope you understand

How can you use the coordinates of two points on a line to determine the slope of the line?

Answers

Answer:

you can use the slope intercept formula!

y2-y1/x2-x1

Step-by-step explanation:

lets take an example!

the coordinates of 1 point are (2,4) and the other point is (4,6)

so lets plug in (x1,y1) (y1,y2)y2 is the y intercept of second point so it is 6 minus y1 which is 4.

6-4/x2-x1

lets do same for x!

6-4/4-2

lets solve

2/2

=1

the slope is 1

evaluate the following:

csc(0)=

sec(0)=

cot(0)=

Answers

Answer:

Step-by-step explanation:

we need that theta angle .. soooo.... use SOH CAH TOA  to remind yourself how the trig functions fit on the triangle.....

since we have all 3 side any one of the above trig functions would work.  as a side note.. Tan is limited to the 1st quadrant on a calculator.. so maybe Cos is a good choice. although it would work in this case....

sooo ....

Cos(Ф) = Adj / Hyp

Ф = arcCos( 24 /25)

Ф ≈16.26°

I don't have csc on my calculator but I know that  1/sin  = csc  sooo

csc(16.26)=1/sin(16.26) ≈ 3.57

sec(16.26)= 1/cos(26.26) ≈ 1.041

cot(16.26) = cos(16.26) / sin(16.26) ≈3.476

Answer:

csc(0)= 25/7

sec(0)= 25/24

cot(0)= 24/7

Step-by-step explanation:

plz help will give brainliest

Answers

Answer:

Step-by-step explanation:

Its the fourth choice, 8000 is closer to 8132 so you would round that down instead of choosing 8500. Also, 8000 ÷ 20 = 400

I NEED HELP RIGHT NOW!!! please help me! i don understand this! :(

Answers

I agree with you BOOHOO

Identify the common difference in the arithmetic sequence: 21, 15, 9, 3, -3, ...

Answers

Answer:

the common difference in the arithmetic sequence: 21, 15, 9, 3, -3, ... is 6

1.Evaluate: 144/16

2.Evaluate: 13.5 x 17

PLSSSS HELP

Answers

Answer:

1. 144 : 16 = 9

2. 13.5 x 17 = 229.5

The sets of ordered pairs below represent relations.

1. (0,0), (1,1), (2,2), (3,3), (4,4)
2. (1,2), (2,1), (1,3), (0,1), (3,1)
3. (0,2), (1,2), (2,4), (3,4), (3,6)
4. (1,6,), (2,6), (3,6), (4,6), (5,6)

Which of these sets are also functions?

1 only
1 and 4
2 and 3
2,3, and 4

Answers

Answer:

2,3, and 4

because it shows y ≠ x which is not the case for 1

The required sets that also function are 1 and 4. Option B is correct.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

1.
(0,0), (1,1), (2,2), (3,3), (4,4)
Above ordered pairs represent the following function,
f(x) = x

Similarly,
ordered pair given in 2 and 3 would not form the function,
While the ordered pair gave in 4 forms a function of f(x) = 0

Thus, the required sets that is also function are 1 and 4. Option B is correct.

Learn more about function here:

brainly.com/question/21145944

#SPJ5

r^3=47.77
need help hurry

Answers

Answer:

[tex]r = 3.63 (approximately)[/tex]

Step-by-step explanation:

[tex]r^{3} = 47.77\\[/tex]

[tex]r = \sqrt[3]{47.77} \\r = 3.63...[/tex]

how can i raise my grade

Answers

Answer:

You can try asking for extra credit assignments, and just become a try hard on whatever assignments you have left. There's not much other thing besides asking for extra credit and trying your best on the assignments you have left

Find the average rate of change of the tree over time. In 1965 the tree has a diameter of 135 in. And in 2005 it has a diameter of 139 in. B)Predict the diameter in 2035.

Answers

Answer:

0.1 in per year ; 142 in

Step-by-step explanation:

Giveb that :

Diameter of tree in 1965 = 135 inches

Diameter of tree in 2005 = 139 inches

Average rate of change:

Change in diameter / change in time

(139 - 135) / (2005 - 1965)

4 / 40

= 0.1 in per year

Predict diameter in 2035;

Initial diameter + (average rate of change * (Number of years from initial)).

135 in + (0. 1 * (2035 - 1965))

135 in + (0.1 * 70)

135 in + 7 in

= 142 in

i need help please answer for me ... Logan drove from New Orleans to Nashville to visit friends. Logan drove the speed limit which was 60 miles/hour. If Logan's driving time for the trip was 9 hours, how many miles did Logan drive?

Answers

1 hour = 60 miles
You have to multiply 60x9= 560
560 miles

12 points
Add 1.5 x 10^7 to 2.7 x 10^9.

Answers

Answer

259000000

Step-by-step explanation:

Which expression gives the distance between the points
(2,3) and (4, -3)?
O A. (2-4)* +(3+3)
O B. (2-3)* +(4+3)?
C. (2-4)2 + (3+3)2
O D. (2-3)* +(4 +3)
SUBMIT

Answers

Answer:

C

Step-by-step explanation:

The formula for finding the distance between 2 points (x1, y1) and (x2, y2) is

d = √[(x2 - x1)² + (y2 - y1)²]

Here (x2, y2) = (2, 3)  and (x1, y1) = (4, -3)

Plugging them gives us

d = √[(2 - 4)² + (3 - (-3))²]

  d = √[(2 - 4)² + (3 + 3)²]

6a + 5a = 11
Just a little confused thats all

Answers

Answer

11a = 11

a = 1

Step-by-step explanation:

What is the solution to this inequality?

42.06 = 21.33 + 3x

Answers

Answer:

x = 6.91 hope this helps pls lmk

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