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3 years ago

Form the intersection for the following sets. E = {1, 2, 3} F = {101, 102, 103, 104} E ∩ F =

1 answer:

3 0

The intersection of two sets is a set that contains elements that are common to both sets.
There are no common elements in sets E and F, so the answer is the empty set.

<span>E ∩ F = { }</span>

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Elena and Jada are 12 miles apart on a path when they start moving towards each other. Elena answered a constant speed of 5 mile

djverab [1.8K]

Answer:

i think it is 234 i am not sure

Step-by-step explanation:

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2 years ago

Right answers plzzzz

Andrew [12]

D.

a.

b.

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5 0

3 years ago

Read 2 more answers

In the figure below, segment AC is congruent to segment AB:

stepladder [879]

Answer: A. "Segment AD bisects angle CAB." is the right answer.

Step-by-step explanation:

Given : In ΔABC ,AC≅AB.

⇒∠ACB=∠CBA....(1) (∵ angles opposite to equal sides of a triangle are equal )

Now in ΔACD and ΔABD

AD=AD (common)....(2)

Here we need one more statement to prove the triangles congruent that is only statement (A) fits in it.

If AD bisects ∠CAB then ∠CAD=∠BAD..(3)

Now again Now in ΔACD and ΔABD

∠ACB=∠CBA [from (1)]

AD=AD [common]

∠CAD=∠BAD [from (3)]

So by ASA congruency criteria ΔADC≅ΔABD.

7 0

3 years ago

Find the point of depression from point A to point C

lesya [120]

The angle of depression equals 32.

A way that you can solve this is by finding angle c. Angle C would be the same as the angle of depression because of alternate angles being congruent.

So you do the triangle angle sum theorem.

58+90+x=180

Simplify

148 +x=180

Subtract 148 from both sides

x=32

So Since angle c equals to 32 degrees, then the angle of depression is also 32 degrees.

3 0

3 years ago

how many liters is 70% alcohol solution must be added to 50 L of 40% alcohol solution to produce a 50% alcohol solution

Anettt [7]

Answer:

50%

Step-by-step explanation:

This question is solved by C1V1 + C2V2 ÷ V1 + V2 = final concentration

Let x = volume of 70% solution

let's express the concentrations as decimals, so 70% = 0.7, 50% = 0.5, and 40% = 0.4

then 0.7X + 50L.4 ÷ X + 50L = 0.5

this equation becomes 0.5(X + 50) = 0.7X + 20

which yields 0.5X + 25 = 0.7X +20

combining, we get 5 = 0.2X, and 25 = X

when we mix the two volumes, we get 50L x 40% + 25L x 70%,

which yields 20L of 100% alcohol, and 17.5L of 100% alcohol, for a total of 37.5L of alcohol in 75L of solution

which is a final concentration of 50%

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3 years ago