In the diagram, the measures of 23 and 27 are 45°. The measure of Z5 is 135º. Are lines cand d parallel? e 1. 2 3 d 6 5 7 8​

Answer:

A) The total length of each edging in her scale drawing would be 19.2 centimeters.

B) Square or rectangle

C) angle  α= 53.13 degrees

angle β=  36.87 degrees

height=  32 inches

base= 24 inches

hypotenuse 40 inches.

Step-by-step explanation:

Part A:

If the roll edging is 96 inches long and the scale chosen is

5inches = 1 cm

96inches /5= 19.2cm

The total length of each edging in her scale drawing would be 19.2 centimeters.

Part B:

The quadrilaterals such rectangle square right  trapezoid have a pair of 90 degrees angles.

If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.

Dividing 19.2 by 4  gives 4.8 cm for each side.

Figure A  shows a square and has 4 sides equal and 4 right angles.

If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.

Suppose the length is 2 times more than the width

which will give the dimensions as

2*2 x+ 2x= 6x   ( length and width denoted by x)

Dividing 19.2 by 6  gives 3.2 cm for each width and  6.4 for the lengths.

Figure B shows a rectangle  and has 2 sides equal and 4 right angles.

It depends on which quadrilateral you wish to choose.

Part C:

Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.

c²= a² +b²

c²= 6.4² +4.8²

c²= 40.96+23.04= 64

c= √64 = 8

The third side must be equal to 8 centimeters.

Using the formula

Cos α= base / hypotenuse

Cos α=4.8/8

α= Cos (inverse) 4.8/8

α= Cos (inverse) 0.6

α= 53.13 degrees

So angle α= 53.13 degrees

All the angles in the triangle must be 180 degrees.

α + β +  90°= 180°

And angle β= 180-90-53.13= 36.869= 36.87 degrees

The actual dimensions of this triangle are

height= a= 6.4* 5= 32 inches

base= b= 4.8*5= 24 inches

hypotenuse= 8*5= 40 inches.

Answer:

8,000 pounds

Step-by-step explanation:

1 US ton = 2,000 pounds

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1 ton is 2000 pounds

4 tons = 8000 pounds

Answer:

Step-by-step explanation:

Answer:

The HCF is 75

Step-by-step explanation:

Here, we want to get the highest common factors of the two numbers

To do this, we have to write the numbers as the product of their prime factors

We have;

3,000 = 2 * 2 * 2 * 3 * 5 * 5 * 5

525 = 3 * 5 * 5 * 7

now looking at this, we can see that in both numbers, we can have 3 * 5 * 5 taken out as it is common to both numbers

This represents the highest common factor of the two numbers

and that is 75

Answer:

Angle GHM and Angle LKJ

Step-by-step explanation:

They are both marked the same with one line.

Answer:

D

Step-by-step explanation:

p(x, y) reflection on y axis = p'(-x, y)

Answer:

1,716

Step-by-step explanation:

I just took the quiz.

Answer:

66

Step-by-step explanation:

Since these two events are independent, multiply the two probabilities together:

6*11 = 66 (choices)

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Answer:

32 ounces........

..

Step-by-step explanation:

Answer:

[tex] \frac{4}{?100} \times \frac{2000}{?1} = 80 \\ \\ 2000 + 80 = 2080 \\ \\ 2080 \times 15 = 31200 [/tex]

Answer:

The sum is 10

Step-by-step explanation:

Given: 2 1/2 + 2 1/2 + 2 1/2 + 2 1/2

Rewrite: 4(2 1/2)

Make fraction improper: 4(5/2)

Distribute: 20/2

Simplify: 10

Answer: 12

Step-by-step explanation:

There are 12 different combinations

If you base it off of the 2 pairs of shoes, each one goes over each shirt twice, and each pair of shorts will go over once

Answer:

I'm almost positive that A and D are wrong but please don't kill me if I'm wrong

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

It's hard for me to explain but let me know if it's right and if you need an explanation

Answer:

5-² is your correct answer

Answer:

=5^10/5^12

= 5^10-12

=5^-2

Answer:1.85+x=5.30

Step-by-step explanation: ez

Answer:

1.85 + x = 5.30

Step-by-step explanation:

It started of at 1.85 meters

After awhile it has reached a height of 5.30

If x represents the meters the tree has grown then x + 1.85 will equal 5.30 as the tree started off at 1.85 meters and reached a height of 5.30

A) x = 15

steps:

90 = 5x + 15

-15 -15

75 = 5x

÷5 ÷5

15 = x

explanation:

< P is 90°

so you have the equation of < P equal 90 to find the x

B) < RQP = 33

steps:

2x + 3

2(15) + 3

30 + 3

33

explanation:

now that you know what x equals you just plug in 15 for the x and solve

Answer:

The graph increases

Step-by-step explanation:

Step-by-step explanation:

the solution is self explanatory

Answer:

19a - 12b

Step-by-step explanation:

2(2a - b) + 5(3a - 2b)

4a - 2b + 15a - 10b

19a - 2b - 10b

19a - 12b

Answer: The first one:

The graph is a function because each input has exactly one output.

Please mark brainliest.  Hope this helps.

Answer: C

Explanation: 3(2) = 6

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased,  hence:

x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0    (3)

Represent equations 1, 2 and 3 in matrix form gives:

[tex]\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right][/tex]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

Answer:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased,  hence:

x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0    (3)

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

Answer:

45

Step-by-step explanation:

Answer:

P(B,R) = 24.490%

Step-by-step explanation:

P(B,R) = 6/14 x 8/14 which can be simplified to become 12/49 or 24.490%

Answer:

x= 5/2

Step-by-step explanation:

the base is 6ft of the billboard

Answer:

If Regina wants a mean of 90, she needs to sell 94 books on the 5th day.