The two triangles below are congruent. Which of the following are congruent by CPCTC?

Answer:

(g ￮ f)(3) = 23

Step-by-step explanation:

Evaluate f(3) then substitute the value obtained into g(x)

f(3) = 2(3) + 4 = 6 + 4 = 10 , then

g(10) = 3(10) - 7 = 30 - 7 = 23

Answer:

Step-by-step explanation:

In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:

a = -32 ft/s/s

v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)

Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)

t = ?? sec.

The equation we will use is the one for displacement:

Δx = [tex]v_0t+\frac{1}{2}at^2[/tex] and filling in:

[tex]-15=(0)t+\frac{1}{2}(-32)t^2[/tex] which simplifies down to

[tex]-15=-16t^2[/tex] so

[tex]t=\sqrt{\frac{-15}{-16} }[/tex] so

t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)

Now we use that time in the x-dimension. Here's what we know in that dimension specifically:

a = 0 (acceleration in this dimension is always 0)

v₀ = 80 ft/sec

t = .968 sec

Δx = ?? feet

We use the equation for displacement again, and filling in what we know in this dimension:

Δx = [tex](80)(.968) +(0)(.968)^2[/tex] and of course the portion of that after the plus sign goes to 0, leaving us with simply:

Δx = (80)(.968)

Δx = 77.46 feet

Answer:

the answer to the expression is u=4

Answer:

120 * 0.90 = 108 km

Step-by-step explanation:

Answer:

108km

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

(working backwards to explain)

[tex]\sqrt{5g^5h^2} \\\\\\h\sqrt{5g^5}\\\\\\g^2h\sqrt{5g}[/tex]

Answer:

-40

Step-by-step explanation:

I assume a signed number means a number with a positive or negative sign in front of it. If you withdraw cash from your checking account, your checking account amount decreases, so it would be like subtracting 40 dollars, or -40.

Hope this helps (●'◡'●)

Answer:

Step-by-step explanation:

x/Sin30 = 20/sin45             multiply both sides by sin30

x = 20*sin30 / sin45

sin30 = 1/2

sin45 = 0.7071

x = 20*1/2 / 0.7071

x = 10 / 0.7071

x = 10 * sqrt(2)

Answer:

Step-by-step explanation:

(x-3)²-4=0

(x-3)²=4=2²

x-3=±2

x=3±2

x=3-2,3+2

x=1,5

it has two distinct roots and a vertex at x=3

Answer:

135°

Step-by-step explanation:

∠AOB = ∠COB = 90°

∠BOK = 45°

90 + 45 = 135°

Answer:

Get all the values of the histogram and put them in order:

For example 2,5,7,1,7,3  becomes 1,2,3,5,7,7 and then you get the middle number, which is in this case (3+5)/2=3.5

Then see which of the readings lie on 3.5.

Step-by-step explanation:

9514 1404 393

Explanation:

The histogram will have a count associated with each class. You may have to read the count from the vertical scale of the graph. If it is a histogram of relative frequencies, each class will have a fraction or percentage instead of a count.

Find the total of all counts. Determine what half that number is. If the total is odd, then round up to the nearest integer. This is the index number of the median value.

Add up the counts in the classes starting at one side of the graph, working toward the other side. (Left-to-right is the usual direction for doing this.) When you find the class that increases the total to a value equal or greater than the index number, this is the class that contains the median.

__

If the histogram is a relative frequency histogram, the class that brings the total to 50% is the one containing the median.

__

There may be cases where the total count is even, and the total of all of the classes up to a point is exactly equal to the index number you're looking for. In that case, the median is between that class and the next. Here's an example:

  class 1: count 3

  class 2: count 5

  class 3: count 4

  class 4: count 4

Total count: 3+5+4+4 = 16. Median index = 16/2 = 8

Total of classes 1 and 2 = 3+5 = 8. This means exactly half of the represented values are in class 2 or below, and half are in class 3 or above. If you had access to the actual data values, you would find the median as the average of the 8th and 9th data values (when they are sorted into increasing order). Here, the median might be estimated as the value halfway between the upper bound of class 2 and the lower bound of class 3.

__

2nd example

Consider the same histogram as above, but with a count of 3 in class 4. This brings the total count to 15, and the index of the median is 15/2 = 7.5, rounds to 8. Again, the 8th data value (median) is in class 2. There is no ambiguity in this case.

Answer:

12x-1

Step-by-step explanation:

First, you would have to distribute. Would mean to multiply the 4 with every number in the parenthesis.

4(3x+2)-9

12x+8-9

Now combine like terms

8-9 = -1

The answer is 12x-1

Step-by-step explanation:

4 times 3x+2 subtracted by9

hope it helps

Answer:

x=5

Step-by-step explanation:

[tex]2+5x-45=-18\\5x=-18+45-2\\5x=25\\x=5[/tex]

x=5

Hope this helped! Please mark brainliest :)

Answer:

f = - [tex]\frac{15}{4}[/tex]

Step-by-step explanation:

Given

f + [tex]\frac{1}{4}[/tex] = - [tex]\frac{7}{2}[/tex]

Multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions

4f + 1 = - 14 ( subtract 1 from both sides )

4f = - 15 ( divide both sides by 4 )

f = - [tex]\frac{15}{4}[/tex]

Answer:

Option D: x ≥ 1.

Step-by-step explanation:

Here we have the quotient:

[tex]\frac{\sqrt{15*(x - 1)} }{\sqrt{2*x^2} }[/tex]

Here we have two restrictions for the domain.

first, the denominator can never be zero, so x must be different than zero.

Second, the arguments of the square roots can not be negative.

The one in the denominator is always positive because we have the square of x.

So let's look at the values of x, such that:

15*(x - 1) ≥ 0

(x - 1) ≥ 0

x ≥  1

Note that when x ≥ 1, we are also removing the problem in the denominator, then we can conclude that the fraction is defined when:

x ≥ 1.

The correct option is D

Answer:i don’t know

Step-by-step explanation:i don’t know

Step-by-step explanation:

=(g-f)(n)

=4n+7-2n-3

=2n+4

Answer:

Step-by-step explanation:

On the day of the canteen, 800 coupons were sold, the price of each coupon was RM 30 and RM 50 respectively. The amount of money earned from the sale of coupons was RM30000. How many copies of RM30 and RM50 coupons were sold?

Let:

RM 30 = x

RM 50 = y

x + y = 800 - - - (1)

30x + 50y = 30000 - - - (2)

From (1)

x = 800 - y

Put x = 800 - y in (2)

30(800 - y) + 50y = 30000

24000 - 30y + 50y = 30000

24000 + 20y = 30000

20y = 30000 - 24000

20y = 6000

y =

Answer:

car(c.p)=$8400

Step-by-step explanation:

L%=(c.p-s.p)100%

c.p

10%=(c.p-7560)100%

c.p

10c.p=100c.p-756,000

(10-100)c.p= -756,000

-90c.p= -756,000

-90 -90

c.p=8400

Answer:

31°

Step-by-step explanation:

The theorem states that all angle sums of any triangle add up to 180°.

128 + 21 = 149, and to find ?°, subtract 149 from 180 to get 31°.

Answer: r = 0.6h

your welcome :D

Answer:

The actual correct answer is r = 0.8h

Step-by-step explanation:

You divide 0.24 ÷ 0.30 and get 0.8

Do the same thing for all the rest of the numbers but,

you must put the numbers that are on the right FIRST then divide them by the numbers on the left, all of these are the same answer which means it's

r = 0.8h

Hope this helps!

Answer:

5 is 14cm . 14 is 2pie r. 6 is 120

Answer:

Question 5 = 14

Question 6 = 120

I hope this helped!

Answer:

∠D = 125° and ∠C = 55°

Step-by-step explanation:

We should first solve for variable x, which should give us angle C, and then solve for angle D.

Thus ∠C = 55°

Knowing that supplementary angles add to 180°, we set up the equation:

Thus ∠D = 125°

Answer:

your answer is totally correct

Answer:  

11.0.0035

12.39×10^-4

13.)0.00031

14.59800

15.3.6×10^9

Step-by-step explanation:

When a pair of parallel lines is intersected by a transversal, then

Interior opposite angles are equal.

So, (3x + 4)° = 115°

=> 3x + 4 = 115

=> 3x = 115 - 4

=> 3x = 111

=> x = 111/3

=> x = 37

Answer:

37

Step-by-step explanation:

So, if you got two parallel line, which are crossed by another line, the conterminal angles are gonna be as big as each other.

what we get outta this explanation is

3X+4=115===> 3X=111===> X=37

Answer:

D

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

Answer:

∠CAB

Step-by-step explanation:

Exterior angles include two corner points and one point not on the triangle. Thus, ∠CAD would be an exterior angle.

Answer:

Step-by-step explanation:

A triangle has 3 interior angles. In this case, they are

<ABF

<BFA

<FAB

An exterior angle is the supplement of one of the angles. In this case, there is only 1 angle that qualifies -- <CAB which is the supplement of BAF.

All the other choices are not supplements to any of the interior angles such as

<BAD

<AFE

<CAD

Answer:

3 pizzas

Step-by-step explanation:

First, we can calculate how many slices are necessary. Each person wants two slices, so for each person, we must add 2 slices. We can add 2 15 times, or multiply 2 by 15 to get 2 * 15 = 30

We now know that we need 30 slices of pizza. Next, we need to figure out how many pizzas we need given this information.

For each pizza, we can add 10 slices, as there are 10 slices of pizza.

For the first pizza, we have 10 slices

For the second, we have 10+10 = 20 slices

For the third, we have 10+10+10 = 10 * 3 = 30 slices. Perfect!

Another way of figuring out the number of pizzas we need would be to divide 30 by 10, and 30/10=3 would equal the number of pizzas. We need to figure out how many pizzas we need to have 30 slices, so we can divide here.

Answer:

a. you risk losing your job

b. you expose your company to litigation by violating the software agreement.

Step-by-step explanation:

Doing this puts our job at a risk and it also exposes the company that you work for to litigation. Legally, there is an agreement that puts a limit to the total number of licenses that should be in use. When you use more licenses than you should, this could be regarded as theft. Normally the best thing that you should do is to ask purchasing that they make payments for another 10 licenses. It is very likely that this software company would know of this violation. as the users try to register this software, the software company could get knowledge of this. The activations are not to be shared.

Answer:

[tex]perimetro = \dfrac{(3 + \sqrt{3})m}{2}[/tex]

Step-by-step explanation:

triángulo 30°-60°-90°

[tex] 1~:~\sqrt{3}~:~2 [/tex]

[tex] 1m~:~m\sqrt{3}~:~2m [/tex]

[tex] \dfrac{m}{2}~:~\dfrac{m\sqrt{3}}{2}~:~m [/tex]

[tex]perimetro = \dfrac{m}{2} + \dfrac{m\sqrt{3}}{2} + m[/tex]

[tex]perimetro = \dfrac{m}{2} + \dfrac{m\sqrt{3}}{2} + \dfrac{2m}{2}[/tex]

[tex]perimetro = \dfrac{m + m\sqrt{3} + 2m}{2}[/tex]

[tex]perimetro = \dfrac{3m + m\sqrt{3}}{2}[/tex]

[tex]perimetro = \dfrac{(3 + \sqrt{3})m}{2}[/tex]