All categories

2 years ago

How do I do this question? Please Help!

Mathematics

2 answers:

Triss [41]2 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

∠ ABY and ∠ CBY are adjacent angles on a straight line and sum to 180° , so

x + 25 + 2x + 50 = 180

3x + 75 = 180 ( subtract 75 from both sides )

3x = 105 ( divide both sides by 3 )

x = 35

Then

∠ CBY = 2x + 50 = 2(35) + 50 = 70 + 50 = 120°

∠ FEB = 5x - 55 = 5(35) - 55 = 175 - 55 = 120°

Then ∠ CBY = ∠ FEB

This means they are corresponding angles and so AC is parallel to DF

AURORKA [14]2 years ago

5 0

Answer:

2x+50 and 5x-55 both are congruent or have same measure.

Step-by-step explanation:

Since we want to prove that both lines are parallel, this means no theorems that involve with parallel lines apply here.

First of, we know that AC is a straight line and has a measure as 180° via straight angle.

x+25 and 2x+50 are supplementary which means they both add up to 180°.

Sum of two measures form a straight line which has 180°.

Therefore:-

x+25+2x+50=180

Combine like terms:-

3x+75=180

Subtract 75 both sides:-

3x+75-75=180-75

3x=105

Divide both sides by 3.

x=35°

Thus, x = 35°

Then we substitute x = 35 in every angles/measures.

x+25 = 35°+25° = 60°

2x+50 = 2(35°)+50° = 70°+50° = 120°

5x-55 = 5(35°)-55 = 175°-55° = 120°

Since 2x+50 and 5x-55 have same measure or are congruent, this proves that both lines are parallel.

You might be interested in

which answer describes the graph of the function f(x)=-2*3^√x? just incase this isn't clear the three is above the square root s

andrey2020 [161]

The function has a domain that goes from [0,∞]

And a range that goes from [-∞,0]

(See attached graph)

8 0

3 years ago

How do i solve this slope of a line from a graph?

iren2701 [21]

Answer:

Find two good points and do rise over run. or you can do the x1 y1 thing

Step-by-step explanation:

3 0

3 years ago

What are the first three terms of the Arithmetic Sequence an = 11 – 3(n – 1)?

vaieri [72.5K]

Answer:First three terms: 11,20,29 .

Step-by-step explanation:

Write a systems of equations. tn=a+(n−1)d. sn=n2 (2a+(n−1)d). So,. 110=11+(n−1)d 726=n2(22+(n−1)d).

I hope this is right

3 0

3 years ago

Customers arrive at a grocery store at an average of 2.1 per minute. Assume that the number of arrivals in a minute follows the

Black_prince [1.1K]

Answer:

a) P(2)=0.270

b) P(X>3)=0.605

c) P=0.410

Step-by-step explanation:

We know that customers arrive at a grocery store at an average of 2.1 per minute. We use the Poisson distribution:

$\boxed{P(k)=\frac{\lambda^k \cdot e^{-\lambda}}{k!}}$

a) In this case: $\lambda=2.1$

$P(2)=\frac{2.1^2 \cdot e^{-2.1}}{2}\\\\P(2)=0.270$

Therefore, the probability is P(2)=0.270.

b) In this case: $\lambda=2\cdot 2.1=4.2$

$P(X>3)=1-P(X\leq 3)\\\\P(X>3)=1-\sum_{x=0}^3 \frac{4.2^x \cdot e^{-4.2}}{x!}\\\\P(X>3)=1-0.395\\\\P(X>3)=0.605$

Therefore, the probability is P(X>3)=0.605.

c) We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.

In this case: $\lambda=2\cdot 2.1=4.2$

$P(X\geq 5)=1-P(X$

Therefore, the probability is P=0.410.

4 0

3 years ago

From the top make it drop that's a _____?

olga nikolaevna [1]

Answer:

January

February

march

April

may

June

jAsOn DeRuLo

3 0

3 years ago