What additional information could be used to prove that the triangles are congruent using AAS?
Select two options

Answer:

Caden is 11 and Christina is 24.

Step-by-step explanation: IF we know the sum of their ages is 35, then we can do the math. 35 - 11 = 24

So this means we know two ages 11 and 24.

The only thing left to do is to figure out who's age is who's. We know that Christina is older so she has to be 24 year old and Caden would be younger.

I hope this helps!

Each function out of the given 4 functions has a horizontal asymptote.

An asymptote is a straight line that continually approaches a given curve but does not meet it at any finite distance.

Mathematically, if y=k is a horizontal asymptote for a function x=f(y) the limiting value of the function is infinity as y→k.

Out of the given curves, for every curve limiting value of the function tends to infinity as y→0

So, each function out of the given 4 functions has a horizontal asymptote.

Therefore, each function out of the given 4 functions has a horizontal asymptote.

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Answer:

All of them

Step-by-step explanation:

Answer:

c = 9

Step-by-step explanation:

You're looking for a number so that when you use that number in place of x, you end up with 20.

f(x) = 3x - 7

f(c) = 3c - 7

20 = 3c - 7

Add 7

27 = 3c

Divide by 3

9 = c

Answer:

Each one 7.50 :)

Step-by-step explanation:

When we add, we can solve this!

7.50 + 7.50 = 15

Have an amazing day!!

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Answer:

Each costs $7.50

Step-by-step explanation:

Given

Solving

p=FG+FH+HG =5.8+5.8+6 is a numerical expression to represent the approximate perimeter of triangle FGH.

The perimeter of a geometric figure is the sum of its sides.

The question  gives:

Therefore the perimeter will be the sum of 5.8, 5.8 and 6. You can write as:

                                         p=FG+FH+HG

                                         p= 11.6+6=17.6

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Answer:

The ordered pair (1, 9) represents the unit rate as cost per pair of pants.

and

The ordered pair (0,0) represents the fact that zero pairs of pants costs $0.

Step-by-step explanation:

hope this helped

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

As we know, slope (m) is equal to tan θ for a straight line :

[tex]\qquad \tt\dashrightarrow \: m = \tan( \theta) [/tex]

[tex]\qquad \tt\dashrightarrow \: m = \dfrac{5}{2} [/tex]

So, we can say that it's a positive constant slope

The research is a one-tailed test because the company won't be sued if many minorities were hired.

In the context, the type I error will be deciding the company is discriminating or not. The type II error will be deciding the company is not discriminating when it is.

The power of the test is the probability of correctly detecting actual discrimination. The type of error that the company consider to be more serious is the type I error.

In conclusion, the type of error that job applicants might consider to be more serious is type II error.

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Answer:

Step-by-step explanation:

The total area of the face of the watch is 9.0 cm²

The polygon with six side is called a hexagon.

Given that, a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached.

height, h = apothem of the hexagon = 2 cm and

base, b = length of shorter base of trapezoid.

Area of the triangle

So, the area of this triangle is A = 1/2bh

= 1/2 × 1. 5 cm × 2 cm

= 1.5 cm × 1 cm

= 1.5 cm²

Area of the hexagon

Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A

= 6 × 1.5 cm²

= 9.0 cm²

So, total area of the face of the watch is 9.0 cm²

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Answer:

<M = 50

Step-by-step explanation:

The sum of the angles of a triangle is 180. 52+ 78+x = 180. Combine like terms. 130 +x = 180.

The value of m for the given combination of two right-angle triangles will be 7√5.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

In the bigger right-angle triangle suppose the missing length is x.

By Pythagora's theorem,

(28 + 7)² = x² + m²

x² = 35² - m²                   (1)

In the smaller right-angle triangle,

x² = 28² + n²                   (2)

By comparing equations (1) and (2).

35² - m² = 28² + n²

m² + n² = 35² - 28²

In the smallest right-angle triangle,

m² = n² + 7²

n² = m² - 7²

By substitution,

m² + m² - 7² = 35² - 28²

2m² = 35² - 28² + 7²

m² = 245

m² = 7² x 5

m = 7√5.

Hence "The value of m for the given combination of two right-angle triangles will be 7√5".

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Answer:

  12. sometimes

  13. always

  14. always

Step-by-step explanation:

Exponential functions with a positive base are defined for all real numbers. Such functions will always have a positive value.

__

The larger the base, the faster the decay for x < 0. In that part of the domain, 2^x > 10^x. (sometimes)

__

See the initial comment. (always)

__

See the initial comment. (always)

Answer:

8

Step-by-step explanation:

Answer:

it will be 8

Step-by-step explanation:

Answer:

they all meet at them same poin

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

yep

Answer:

I think it would answer 7

Step-by-step explanation:

hope that helps

Answer:

Step-by-step explanation:

According to the graph we have

Their sum is

Answer: y=.256x

Step-by-step explanation:

This line has the smallest coefficient for x.

Answer:

Step-by-step explanation:

Out of 100 brownies ,4 were caramel.

Ratio of Caramel Brownies to Brownies: 4/100

If you further simplify it , 4/100 is the same thing as 1/25 , which can also be expressed as

Answer: 4% of the brownies were caramel

Answer:

i think 5 prisms are cool

Step-by-step explanation:

Answer:

4π ft.

Step-by-step explanation:

Area = π r^2 = 4π =  π2^2

- so the radius  is 2 ft,

and the circumfrence = 2 π r

= 2*π*2

= 4π  ft.

The circumference of the circle is 4π feet.

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

The formula for the area A of a circle with radius r is given by:

A = πr²

We are given that the area of the circle is 4π ft², so we can set up the following equation:

4π = πr²

Dividing both sides by π, we get:

r² = 4

Taking the square root of both sides, we get:

r = 2

The circumference C of a circle with radius r is given by:

C = 2πr

Substituting r = 2, we get:

C = 2π(2) = 4π

Therefore,

The circumference of the circle is 4π feet.

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this is the graph for y =4x+2

Answer:

They are the same.

Step-by-step explanation:

1.1 and 1.10 are both the same, actually. There is just an extra 0 at the end. For example, 2 and 2.0 are the same, because 0 is 0, and it doesn't change your answer. The 0 could go on as in 1.100000000 but it will still equal 1.1 .

Hope this helped :)

Answer:

B. 32°

Step-by-step explanation:

Finding ∠S and ∠R

Similarly, ∠P = ∠Q (same reason as above)

Applying the Angle Sum Property of Quadrilaterals,

Finding the missing angles of the triangle

Applying the Angle Sum Property of Triangles,

Answer:

152 inch

Step-by-step explanation:

The dimensions of tha coffee table are .

The perimeter of a rectangle is defined as , where  is the length and  is the width.

So, by given we have

If we use the formula for the perimeter of a rectangle and substitute each variable, then we would have

The perimeter of the coffee table is 152 inches.

Answer:

d = 2√34

Explanation:

The time of motion of the frog after it jumped into air is determined as 0.8 second.

The time of motion of the frog is determined by solving the quadratic equation as follows;

60t - 75t² = 0

60t = 75t²

divide both sides by t

60 = 75t

divide both sides by 75

60/75 = t

0.8 s = t

Thus, the time of motion of the frog after it jumped into air is determined as 0.8 second.

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Using the Empirical Rule, it is found that her finishing time will be between 70 and 82 seconds in 95% of her races.

It states that, for a normally distributed random variable:

In this problem, the mean is of 76 seconds and the standard deviation is of 3 seconds, then:

76 - 2 x 3 = 70.

76 + 2 x 3 = 82.

Which means that values between 70 and 82 seconds are within 2 standard deviations of the mean, hence the percentage is of 95%.

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Answer:

6 inches

Step-by-step explanation: I did the test

Answer

HEY :) do you want hep with all f them or just some of the awnsers

Step-by-step explanation:

Answer:

[tex]S_{n}=315[/tex]

Step-by-step explanation:

[tex]a_{1}=7\\a_{2}=9\\a_{n}=35\\[/tex]

d=9-7=2

no of terms n,

[tex]n=\frac{a_{n-a_{1}} }{d} +1[/tex]

[tex]n=\frac{{35}-{7}}{2} +1[/tex]

[tex]n=15[/tex]

sum of series,

[tex]S_{n}=\frac{n}{2} (a_{1}+a_{n})\\\\S_{n}=\frac{15}{2} (7+35})\\\\S_{n}=315[/tex]