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3 years ago

I'm learning about Equation practice with angles. Can some please help? The most detailed answer gets brainliest! :)

Mathematics

1 answer:

Svet_ta [14]3 years ago

3 0

Ok, so alternate exterior angles are congruent.
So 6x+18=x+93
So we want to get x on the side by itself, to do this we would first subtract 18 from both sides.
This leaves us with the equation
6x=x+75
We will the subtract a from both sides
So the equation is now 5x=75
Well divide both sides by 5 so we can have x completely alone

We are left with the equation
x=15

Now to find the measure of angle b, we plug x into the spot
So 15+93=108°

So the measure of angle B, the answer is 108°

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m∠A = 42 and m∠C = 57. Find m∠B. A. 81 B. 99 C. 132 D. 147

faltersainse [42]

A.
because the total distance of every triangle 180. Add the two other angles so 42+ 57 =99. Then you have to subtract those two combined angles to find the missing one from the total distance, which is 180. 180-99=81. the answer is A. 81

5 0

3 years ago

Please look at the question below and choose the correct answer.

Sav [38]

Answer:

c. 500

Step-by-step explanation:

5/100=25/x

2500=5x

2500/5=x

500=x

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3 years ago

Graph the linear equation using the slope and y-intercept. Y=4X+3

JulsSmile [24]

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have y = 4x + 3

m = 4 - slope

3 - y-intercept

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4 units up and 1 unit right

7 0

3 years ago

On any given day, mail gets delivered by either Alice or Bob. If Alice delivers it, which happens with probability 1/4 , she doe

Troyanec [42]

Answer:

(a) The value of fₓ (9.5) is 0.125.

(b) The value of fₓ (10.5) is 0.50.

Step-by-step explanation:

Let X denote delivery time of the mail delivered by Alice and Y denote delivery time of the mail delivered by Bob.

It i provided that:

$X\sim U(9, 11)\\Y\sim U(10, 12)$

The probability that Alice delivers the mail is, p = 1/4.

The probability that Bob delivers the mail is, q = 3/4.

The probability density function of a Uniform distribution with parameters [a, b] is:

$f(x)=\left \{ {{\frac{1}{b-a};\ a, b>0} \atop {0;\ otherwise}} \right.$

The probability density function of the delivery time of Alice is:

$f(X_{A})=\left \{ {{\frac{1}{b-a}=\frac{1}{2};\ [a, b]=[9, 11]} \atop {0;\ otherwise}} \right.$

The probability density function of the delivery time of Bob is:

$f(X_{B})=\left \{ {{\frac{1}{b-a}=\frac{1}{2};\ [a, b]=[10, 12]} \atop {0;\ otherwise}} \right.$

(a)

Compute the value of fₓ (9.5) as follows:

For delivery time 9.5, only Alice can do the delivery because Bob delivers the mail in the time interval 10 to 12.

The value of fₓ (9.5) is:

$f_{X}(9.5)=p.f(X_{A})+q.f(X_B})\\=(\frac{1}{4}\times \frac{1}{2})+(\frac{3}{4}\times0)\\=\frac{1}{8}\\=0.125$

Thus, the value of fₓ (9.5) is 0.125.

(b)

Compute the value of fₓ (10.5) as follows:

For delivery time 10.5, both Alice and Bob can do the delivery because Alice's delivery time is in the interval 9 to 11 and that of Bob's is in the time interval 10 to 12.

The value of fₓ (10.5) is:

$f_{X}(10.5)=p.f(X_{A})+q.f(X_B})\\=(\frac{1}{4}\times \frac{1}{2})+(\frac{3}{4}\times\frac{1}{2})\\=\frac{1}{8}+\frac{3}{8}\\=0.50$

Thus, the value of fₓ (10.5) is 0.50.

5 0

3 years ago

I bought a television for $435. This is 60% of the original cost. What was the original cost?

Otrada [13]

Answer:

$261

Step-by-step explanation:

Simply multiply 0.6 by 435

4 0

3 years ago