Which Angles are Congruent?

Angle A and Angle B


Angle C and Angle B


Angle A and Angle C

Answer:

[tex]x + 2y= 2[/tex]

Step-by-step explanation:

Given

Points:

[tex]F = (4,9)[/tex]

[tex]G = (1,3)[/tex]

Required

Determine the equation of line that is perpendicular to the given points and that pass through [tex](2,0)[/tex]

First, we need to determine the slope, m of FG

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex]F = (4,9)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]G = (1,3)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]m = \frac{3 - 9}{1 - 4}[/tex]

[tex]m = \frac{- 6}{- 3}[/tex]

[tex]m =2[/tex]

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

[tex]m_2 = -\frac{1}{m}[/tex]

[tex]m_2 = -\frac{1}{2}[/tex]

The equation of the line is then calculated as:

[tex]y - y_1 = m_2(x - x_1)[/tex]

Where

[tex]m_2 = -\frac{1}{2}[/tex]

[tex](x_1,y_1) = (2,0)[/tex]

[tex]y - 0 = -\frac{1}{2}(x - 2)[/tex]

[tex]y = -\frac{1}{2}(x - 2)[/tex]

[tex]y = -\frac{1}{2}x + 1[/tex]

Multiply through by 2

[tex]2y = -x + 2[/tex]

Add x to both sides

[tex]x + 2y= -x +x+ 2[/tex]

[tex]x + 2y= 2[/tex]

Hence, the line of the equation is [tex]x + 2y= 2[/tex]

Answer:

X+2y=2

Step-by-step explanation:

Answer:

[tex]Total\ Cost = \$3000[/tex]

Step-by-step explanation:

Given

[tex]Individuals = 5[/tex]

[tex]Cost = \$600[/tex] --- per individual

Required

Determine the total costs

Since each individual brings the same amount.

The total cost is calculated as follows:

[tex]Total\ Cost = Cost * Individuals[/tex]

[tex]Total\ Cost = \$600 * 5[/tex]

[tex]Total\ Cost = \$3000[/tex]

Answer:

$25.00

Step-by-step explanation:

I hope this helps!

46.78

Step-by-step explanation:

you divide 16 by the cos of 70 and it turns out to be 46.78

Answer:

q = 94

p = 18

Step-by-step explanation:

The triangles are congruent so q = 94

Add q + 68 same as 94 + 68 = 162

Subtract 162 from 180 to get p

180 - 162 = 18

Hope this helps!

Answer: The man and the turkey cross the river, (the wolf and corn are safe together), he leaves the turkey on the other side and goes back across.

The man then takes the wolf across the river, and since he can't leave the wolf and turkey together, he brings the turkey back.

Again, since the turkey and corn can't be left together, he leaves the turkey and he takes the corn across and leaves it with the wolf.

He then returns to pick up the turkey and heads across the river one last time.

...... this is a very old riddle. lol I had forgotten about it.

Answer:

g(1) = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

g(x) = -x - 2

g(1) is x = 1

Step 2: Evaluate

Answer:

So there are 14 nickels (worth a total of 70 cents) and 8 dimes (worth a total of 80 cents)

Step-by-step explanation:

Answer:

she has 2 nickels

Step-by-step explanation:

dimes=10 cents

nickels=5 cents

10x14=140

1.40

5x2=10

1.40+10=1.50

Answer:

2.275%

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)SD

here, x = 70.5

mean = 65.5

SD = 2.5

Substituting these values;

z = (70.5-65.5)/2.5

= 5/2.5 = 2

So we want to calculate the probability that;

P( z> 2)

We check the standard normal distribution table for this

That will be

0.02275

In percentage, this is 2.275 %

Answer:

No. The lines do not seem to intersect.

Step-by-step explanation:

When you move both of the sliders over, you will see they do not intersect. Also I got it right on edge. Hope this helps :)

Answer:

The equation of the blue line is y = –x + 5. Manipulate the orange line by setting the sliders so its slope, m, is –1 and its y-intercept, b, is –3.

Does the system appear to have a solution after the changes?

✔ No. The lines do not seem to intersect.

Answer:

About 400 more children attend Troy’s school than Nada’s school.

Answer:

I don't really know about this sorry sorry

Answer:

✨ B

Step-by-step explanation:

✨Hope this helps✨

Answer:

It's the B

[tex] \sqrt{29} [/tex]

Step-by-step explanation:

[tex]d = \sqrt {(2 - 4)^2 + (2 - 7)^2}[/tex]

[tex]d = \sqrt {(-2)^2 + (-5)^2}[/tex]

[tex]d = \sqrt {4 + 25}[/tex]

[tex]d = \sqrt 29[/tex]

Hope this helps, have a good day

Answer:

y = (7/3)x - 9

Step-by-step explanation:

1. Convert given equation to y=mx+b form --> y = (7/3)x - 5/3

2. Equation of new line --> y = (7/3)x + b

3. Plug in given values --> 5 = (7/3)(6) + b

4. Solve for b --> b = 5 - 14    b = -9

5. New line --> y = (7/3)x - 9

Answer:

the one that looks like a v

Step-by-step explanation:

the are no vertical lines. it's the second graph

Answer:

90°

Step-by-step explanation:

Hope it helps!!

The measure of Arc is 90 degree.

An "arc" is a smooth curve that connects two points in mathematics. In general, an arc is a section of a circle. It is essentially a portion of a circle's circumference.

A circle's arc is defined as a portion or segment of its circumference. A chord of a circle is a straight line that can be created by connecting the two ends of an arc. A semicircular arc is one whose length is exactly half that of a circle.

Since, m(arc EF) = Angle subtended by the arc EF at the center

                          = 146°

m(arc DE) = 90°

Thus, the measure of arc DE is 90 degree.

Learn more about Arc here:

https://brainly.com/question/20561465

#SPJ7

Answer:

w<-6

Step-by-step explanation:

Answer:

B. a slice with a radius of 8 inches. central angle of 45 degrees. and a

cost of $2 per slice

Step-by-step explanation:

brainest plz

Option B gives the best value.

'A circle is a shape consisting of all points in a plane that are at a given distance from a given point which is the center.'

According to the given problem,

Radius = 8 inches

Diameter = 16 inches

Considering a pizza is a circle and the area of a circle increases with the square of the radius.

However 45 degrees being less inclined than 30 degrees.

Hence, a slice with a radius of 8 inches, central angle of 45 degrees gives the best value for $ 2 per slice.

Learn more about circles here: https://brainly.com/question/15099709

#SPJ2

Answer: 128 - 48 equals 80. 80 - 35 equals 45. That means the answer is 45.

Step-by-step explanation:

Answer:

Circumference if the diameter is 20 the radius is 10 so if all the pieces are equal to 20 you have to find the radius(10) so the answer is 125 pieces

Step-by-step explanation:

Answer:

B 8÷2

Step-by-step explanation:

because of pemdas.

Answer:

B

Step-by-step explanation:

Follow the order of PEMDAS. So you gotta solve inside the prenthesis first following the order of pemdas and division comes first.

Parentheses

Exponent

Multiplication

Division

Addition

Subtraction

Answer:

53d

Step-by-step explanation:

Answer:

y = 1/2x +3/2

Step-by-step explanation:

y = mx +b plug into this equation

m = 1/2 (slope)

2 = 1/2(1) +b and solve this equation

b = 3/2

equation: y = 1/2x +3/2

Answer:

21

Step-by-step explanation:

becuase that's the answer lol

Answer:

its either C or D

Step-by-step explanation:

there are 2 possible outcomes for getting either heads or tails so if we divided 150 by 2 we get 75, so about 75 times you could get tails.

so maybe it is D, but im not sure

Answer:

Take the coefficient of "u"

10

divide it by 2

5

square it

25

So, a perfect square would be

u^2 + 10u +25

which would be

(u +5)^2

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

6.8 × [tex]10^2[/tex]

= 68

Answer:  The truth is, you can't

Step-by-step explanation:

Answer: $59.40 of interest in 2 years, $719.40 in total

Step-by-step explanation:

If you would divide $660 by $100 then 1% of that amount would be $6.60.  Assuming it is 4.5% from your question, if you would multiply the amount above then Luis would get $29.70 per year.  Also assuming that his savings account isn't changed over time, you would multiply 2 to get $59.40 which is the total amount of interest money earned in 2 years.  Add that amount to $660 and you would get $719.40 as the second part of the answer.