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2 years ago

Allison claims that the ABQ is similar to RPQ, given that AB and PR are parallel.

1 answer:

7 0

Let's see the important definitions you find in your options:- alternate interior angles are found when two parallel lines are crossed by a transversal, and they are inside the two lines on opposite sides of the transversal;- vertically opposite angles are found when two lines cross and they are the ones facing each other;- corresponding angles are found when two parallel lines are crossed by a transversal, and they are on matching corners.
Looking at the picture we can say that:a) 1 and 2 are vertically opposite angles;b) ABQ and QPR are alternate interior angles;c) BAQ and QRP are alternate interior angles.
Hence, Allison's correct claims are:1 = 2 because they are vertically opposite angles. BAQ = QRP because they are alternate interior angles.

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Answer:

1/16

Step-by-step explanation:

2^-4=1/2^4=1/16

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2 years ago

Multiply or divide. Write your answers in simplest form. 2/3 x 3/4, 3/5 divided by 1/2, 5 Divided by 3/8, 3/7 x 4/3, 4/9 divided

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X/2, 6/5, 40/3,4x/7,20/27

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2 years ago

Suppose you want to build a small walkway around your garden so that there is someplace to walk around and work on your vegetabl

wolverine [178]

Answer:

Approximately 3.5 feet - Option B

Step-by-step explanation:

Imagine that you have this walkway around the garden, with dimensions 30 by 20 feet. This walkway has a difference of x feet between it's length, and say the dimension 30 feet. In fact it has a difference of x along both dimensions - on either ends. Therefore, the increases length and width should be 30 + 2x, and 20 + 2x, which is with respect to an increases area of 1,000 square feet.

( 30 + 2x ) $*$ ( 20 + 2x ) = 1000 - Expand "( 30 + 2x ) $*$ ( 20 + 2x )"

600 + 100x + 4 $x^2$ = 1000 - Subtract 1000 on either side, making on side = 0

4 $x^2$ + 100x - 400 = 0 - Take the "quadratic equation formula"

( Quadratic Equation is as follows ) - $x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ ,

$x=\frac{-100+\sqrt{100^2-4\cdot \:4\left(-400\right)}}{2\cdot \:4}:\quad \frac{5\left(\sqrt{41}-5\right)}{2}$ ,

$x=\frac{-100-\sqrt{100^2-4\cdot \:4\left(-400\right)}}{2\cdot \:4}:\quad -\frac{5\left(5+\sqrt{41}\right)}{2}$

There can't be a negative width of the walkway, hence our solution should be ( in exact terms ) $\frac{5\left(\sqrt{41}-5\right)}{2}$ . The approximated value however is 3.5081...or approximately 3.5 feet.

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2 years ago

Gabby makes banana bread at her bakery every Monday and Wednesday,

garri49 [273]

Answer:

Monday:

Cups of Sugar: 3

Tablespoon of Butter: 30

No. of Bananas: 75

Wednesday

Cups of Sugar: 1.12

Tablespoons of Butter: 11.2

No. of Bananas: 28

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2 years ago

Jerry walked a dog from 6:40 am to 7:30 pm one day. If he was paid at the rate of 6$ per hour, how much did he earn that day?

Tom [10]

Answer:

Explanation:

Since Jerry walked the dog from 6:40am to 7:30am, the total minutes that he walked the dog was 50 minutes. Also a note, an hour is 60 minutes.

Since he is paid at a rate of $6 per 60 minutes, we can make a proportion.

660=x50

From here, you have to solve for x. So cross multiply, and then simplify.

60x=50⋅6

60x60=50⋅6/60

x=5⋅6/6

x=5

So the answer is $5.

3 0

3 years ago

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