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3 years ago

AE←→ is a straight line in the diagram.

Mathematics

2 answers:

Katena32 [7]3 years ago

8 0

Answer:

∠ABC= 40° ∠CBD=60° ∠EBD=80°

Step-by-step explanation:

Step 1: 2x+3x+4x=180

A straight line is 180 degree's, and to get the value of the different angles, you have to add the three angle measures.

Step 2: 9x=180

Combine like terms

Step 3: x=20

Divide/ Isolate the variable

Step 4: 2(20)=40 3(20)=60 4(20)=80

Plug the answer back in

Deffense [45]3 years ago

5 0

Explain how an equation can be written to find m < CBD.

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A snack-size bag of M&Ms candies is opened. Inside, there are 12 red candies, 12 blue, 7 green, 13 brown, 3 orange, and 10 y

Anestetic [448]

Answer:

$\frac{1}{4180}$

Step-by-step explanation:

GIVEN: A snack-size bag of M&Ms candies is opened. Inside, there are $12$ red candies, $12$ blue, $7$ green, $13$ brown, $3$ orange, and $10$ yellow. Three candies are pulled from the bag in succession, without replacement.

TO FIND: What is the probability that the first two candies drawn are orange and the third is green.

SOLUTION:

Total candies in the bag $=57$

Probability that first ball is orange, $P(A)=\frac{\text{total orange candies in bag}}{\text{total candies in bag}}$

$=\frac{3}{57}=\frac{1}{19}$

Probability that second ball is orange, $P(B)=\frac{\text{total orange candies in bag}}{\text{total candies in bag}}$

$=\frac{2}{56}=\frac{1}{28}$

Probability that third ball is green, $P(C)=\frac{\text{total green candies in bag}}{\text{total candies in bag}}$

$=\frac{7}{55}$

Now, probability that first two balls are orange and third is green is

$=P(A)\times P(B)\times P(C)$

$=\frac{1}{19}\times\frac{1}{28}\times\frac{7}{55}$

$=\frac{1}{19}\times\frac{1}{4}\times\frac{1}{55}$

$=\frac{1}{4180}$

Hence, probability that first two balls are orange and third is green is $\frac{1}{4180}$

3 0

4 years ago

What is the distance between the points (5, 1) and (-3,-5)?

Aleksandr [31]

Answer:6

Step-by-step explanation:

6 0

3 years ago

You will receive $15000 I’m two years when you graduate. You plan to invest this at an annual interest rate of 6.5 percent. How

Crank

You will have $24 824.94 eight years from now.

The formula for the future value (FV) of her investment is

FV =C(1 + r)^n

where C = her initial cash

r = the interest rate

n = the number of years

FV = $15 000(1.065)^8 = $24 824.94

7 0

3 years ago

Select the correct solution set. 50 ≥ 15x

Leviafan [203]

50 > = 15x....divide both sides by 15
50/15 > = x
10/3 > = x or x < = 10/3

so the correct solution set is : { x | x < = 10/3}...its the 2nd one

6 0

4 years ago

Read 2 more answers

liubo4ka [24]

Answer:

3/5

Step-by-step explanation:

We are to find the similarity ratio of a cube with volume $729 m^3$ to a cube with volume $3375 m^3$ .

We know the formula for the ratio of two cubes:

$\frac{V_1}{V_2} =k^3$

where $k$ is the similarity ratio of the two cubes.

Substituting the given values in the formula to find $k$ :

$k^3 = \frac {729} {3375}$

$k^3 = \frac {27} {125}$

$k^3 = (\frac {27} {125})^3$

$k=\frac{3}{5}$

Therefore, the similarity ratio of the two cubes is 3/5.

8 0

3 years ago

Read 2 more answers