Consider the figure to the right.
T
Given: CT PM, CT 1 PM
Prove: CA - MA
А,
P4
M
Shown below are the statements and reasons for the proof.
They are not in correct order.
Statements
Reasons
1.
ACAT AMAP
AAS
II.
LCAT ZPAM
Vertical Angles Theorem
III.
CT & PM, CT || PM
Given
IV.
CAMA
CPCTC
V.
LCTA E LMPA
Alternate Interior Angles Theorem.
Which of these is the most logical order for the statements and reasons?
(А.
I, II, III, IV, V

Answer:

a

Step-by-step explanation:

Answer:

A. QRP≅UTV

Step-by-step explanation:

Q is congruent with U.

R is congruent with T.

P is congruent with V.

Let me know if that helps!

Answer:

N

Step-by-step explanation:

Since C is 48 you minus 6 from it since 6 is on the side so thus 48 - 6 = 42

Happy I can help

Answer:

48

Step-by-step explanation:

We are going to use trigonometry to solve for the wanted angle

Remember these are the trigonometric functions

( Remember SOH CAH TOA )

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

For angle Ф

we are given its adjacent side length (6) and the hypotenuse (9)

Adjacent and hypotenuse corresponds with the trig function Cosine

So we will use cosine to solve for the missing angle

( let x = missing angle )

( remember cosine = adjacent over hypotenuse )

[tex]cosX=\frac{6}{9} \\\frac{6}{9} =.66\\cos(x)=.66[/tex]

now we want to get rid of the "cos" on the x

To do so we take the inverse of cos ( arc cos ^-!1 ) and apply it to each side

so...

[tex]arcos(cos(x))=x\\arccos(.66)=48.1[/tex]

we're left with x = 48.1

Answer:

the volume will be 56 m³

because it is made of 56 cubes of 1m ³ volume

I hope it helps

Answer:

1/3 cubic unit

Step-by-step explanation:

Answer:

The volume of the figure is 720 cm^3

Step-by-step explanation:

Here, we want to find the volume of the figure

mathematically, we can have this as the product of the base of the figure and it’s height

the base is a rectangle and the area is the product of the side lengths

Mathematically, we have this as;

9 * 20 = 180 cm^2

So the volume here can be obtained by simply multiplying by the height of the shape

we have this as;

180 cm^2 * 4 cm = 720 cm^3

1 inch = 5 miles

1 square inch =25 square miles

25 square miles x 75 square inches = 1,875 square miles

Answer : 1,875 square miles

Answer:

It Would be 14 units.

Step-by-step explanation:

Have a Great Day.

:)

Will accept Brainliest

Answer:

No triangle possible.

Step-by-step explanation:

3 + 6 < 10 so no triangle can be drawn with these lengths.

Answer:

2/5

Step-by-step explanation:

2/5=4/10

Answer:

2/5 is great because it's 40%

3/10 is 30%

so 2/5 is greater

Answer:

x ≈ 12.22

Step-by-step explanation:

SOH CAH TOA(Tangent = opposite side/adjacent side)

tan (48°) = x/11

=> x = tan (48°) × 11

=> x ≈ 12.22

Answer:

Mean = 16

Median = 15

Mode = 15

Step-by-step explanation:

Mean - Add all numbers together then subtract from how many numbers are there.

Median - Arrange your numbers in numerical order. Then count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number. If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Mode - This question has one mode because there is only one number that occurs more that the rest.

Answer:

[tex](4w + 4) + < de + (2w + 11) = 180 \\ < de = 180 - 4w - 4 - 2w - 11 \\ < de = (165 - 6w)[/tex]

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

A rectangle is a parallelogram because parallelograms have to have exactly 2 pairs of parallel sides. A rectangle has 2 parallel sides, therefore it is considered a parallelogram.

Step-by-step explanation:

Answer:

-432 ,-2 ,2 ,72

Step-by-step explanation:

The Answer Is 2,592

This is because this is a geometric sequence, every number is multiplied by -6 to find the next number in the sequence.

Answer:

C) -8 + 3a + 10 -a = 2a + 2

Step-by-step explanation:

I think the answer might be C.

Step-by-step explanation:

That is because if you look at C, it is -8 + 3a + 10 - a. Since it says -a, it means you have to subtract 3a - a = 2a, since a variable equals one in algebra.  Then all that is left is -8 + 10, which will give you 2, which will give you 2a + 2. Hope this helps.

Answer:

Measure of the side opposite to the angle measuring 33° is 9.37 unit

Step-by-step explanation:

If a, b and c are the sides of a triangle,

And 'a' = 8

b = 15

Measure of the Included angle C = 33°

By applying cosine rule in the given triangle,

c² = a² + b² - 2abcos(C)

c² = 8² + (15)² - 2(8)(15)cos(33°)

   = 64 + 225 - 201.28

   = 87.72

c = √87.72

c = 9.266

  ≈ 9.27

Therefore, measure of the side opposite to the angle measuring 33° is 9.37 units

Answer:

Let's define the cost of the cheaper game as X, and the cost of the pricer game as Y.

The total cost of both games is:

X + Y

We know that both games cost just above AED 80

Then:

X + Y > AED 80

From this, we want to prove that at least one of the games costed more than AED 40.

Now let's play with the possible prices of X, there are two possible cases:

X is larger than AED 40

X is equal to or smaller than AED 40.

If X is more than AED 40, then we have a game that costed more than AED 40.

If X is less than or equal to AED 40, then:

X ≥ AED 40

Now let's take the maximum value of X in this scenario, this is:

X = AED 40

Replacing this in the first inequality, we get:

X + Y > AED 80

Replacing the value of X we get:

AED 40 + Y  > AED 80

Y > AED 80 - AED 40

Y > AED 40

So when X is equal or smaller than AED 40, the value of Y is larger than AED 40.

So we proven that in all the possible cases, at least one of the two games costs more than AED 40.

Answer:

m<CAO = 56°

Step-by-step explanation:

Same-side interior angles are supplementary to each other, so take their sum and set them equal to 180 and solve for x:

2x + 3x + 40 = 180

5x + 40 = 180

5x = 140

x = 28

Plug x=28 into angle CAO:

CAO = 2(28) = 56°

Answer:

2 batches

Step-by-step explanation:

Answer:

decreasing because x is negative.

Answer:

[tex]x = \frac{5a-2} {7+5a}\\[/tex]

Step-by-step explanation:

Given the expressions

[tex]x = \frac{5}{9y+5}....1\\y = \frac{5}{5a-2} ...2[/tex]

Substitute 2 into 1

[tex]x = \frac{5}{9(\frac{5}{5a-2} )+5} \\x = \frac{5}{(\frac{45}{5a-2} )+5} \\x = \frac{5}{\frac{45+5(5a-2)}{5a-2} } \\x= \frac{5}{\frac{35+25a}{5a-2} }\\x = \frac{5(5a-2)} {35+25a}\\x = \frac{5(5a-2)} {5(7+5a})\\\\x = \frac{5a-2} {7+5a}\\[/tex]

Answer:

0.65

Step-by-step explanation:

Answer:

Step-by-step explanation:

2,142/32,800 ≈ 0.065 = 6.5%

Answer:

275 m^3

Step-by-step explanation:

The volume of a triangular pyramid is V=(1/3)Ah, where A is the area of the triangular base and h is the height.

First, let's find A, the area of the base. The area of a triangle is bh/2, where b is the base and h is the height.

In this question, 5 is the base and 15 is the height, so A=5*15/2=75/2.

Now we know A is 75/2, so let's go back to the formula for the volume of a pyramid. We are given h is 22, so

V=(1/3)(75/2)*22=275

Answer:

x = (-158)/87

Step-by-step explanation:

Solve for x:

38 x + 7 x + 7 x + 7 x + 7×4 (x + 7) = 38

Hint: | Multiply 7 and 4 together.

7×4 = 28:

38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 38

Hint: | Group like terms in 38 x + 7 x + 7 x + 7 x + 28 (x + 7).

Grouping like terms, 38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 28 (x + 7) + (38 x + 7 x + 7 x + 7 x):

28 (x + 7) + (38 x + 7 x + 7 x + 7 x) = 38

Hint: | Add like terms in 38 x + 7 x + 7 x + 7 x.

38 x + 7 x + 7 x + 7 x = 59 x:

28 (x + 7) + 59 x = 38

Hint: | Distribute 28 over x + 7.

28 (x + 7) = 28 x + 196:

28 x + 196 + 59 x = 38

Hint: | Add like terms in 59 x + 28 x + 196.

28 x + 59 x = 87 x:

87 x + 196 = 38

Hint: | Isolate terms with x to the left hand side.

Subtract 196 from both sides:

87 x + (196 - 196) = 38 - 196

Hint: | Look for the difference of two identical terms.

196 - 196 = 0:

87 x = 38 - 196

Hint: | Evaluate 38 - 196.

38 - 196 = -158:

87 x = -158

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 87 x = -158 by 87:

(87 x)/87 = (-158)/87

Hint: | Any nonzero number divided by itself is one.

87/87 = 1:

Answer: x = (-158)/87