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3 years ago

Please help with the answer

Mathematics

1 answer:

lbvjy [14]3 years ago

7 0

Sum of one-sided angles is 180°

$(16x+2)^\circ+(45x-5)^\circ=180^\circ\\(61x)^\circ=183^\circ\\ \\ x=3$

Sum of two adjacent supplementary angles = 180 .

$(26y)^\circ+(16x+2)^\circ=180^\circ\\ (26y)^\circ+(16\cdot3+2)^\circ=180^\circ\\ (26y)^\circ+50^\circ=180^\circ\\ (26y)^\circ=130^\circ\\ y=130^\circ:26^\circ\\y=5$

Answer: x=3 and y = 5.

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The figure below shows a shaded rectangular region inside a large rectangle: (pic)

mariarad [96]

Answer:

Step-by-step explanation:

Probability of falling NOT in the shaded region is "area of white region" divided by "area of whole rectangle (big one)".

Area of whole rectangle:

Area of rectangle = length * width = 10 * 5 = 50

Area of White Region:

First, area of shaded region = length * width = 4 * 2 = 8

Now,

Area of white region = area of whole rectangle - area of shaded rectangle

Area of white region = 50 - 8 = 42

Hence, probability is $\frac{42}{50}=0.84$

0.84 = 84%

Answer choice D is right.

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3 years ago

You buy milk that contains 180 calories per 2 cups. Use a ratio table to find the number of calories in 5.5 cups.

Ludmilka [50]

Answer:

The number of calories in 5.5 cups are 495.

Step-by-step explanation:

Given:

You buy milk that contains 180 calories per 2 cups.

Now, to find the number of calories in 5.5 cups.

Let the number of calories in 5.5 cups be $x.$

As, in 2 cups there are 180 calories.

2 cups is equivalent to 180 calories.

Thus, the ratio would be $2:180.$

So, in 5.5 cups there are $x$ calories.

5.5 cups is equivalent to $x$ calories.

Thus, the ratio would be $5.5:x.$

Now, we set proportion to get the number of calories in 5.5 cups:

$2:180::5.5:x$

$\frac{2}{180} =\frac{5.5}{x}$

By cross multiplying we get:

$2x=990$

Dividing both sides by 2 we get:

$x=495$ .

Therefore, the number of calories in 5.5 cups are 495.

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3 years ago

Y-1=-2(x+3) in standard form

romanna [79]

Answer:

2x + y + 5 = 0

Step-by-step explanation:

y − 1 = -2 (x + 3)

y − 1 = -2x − 6

2x + y + 5 = 0

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3 years ago

The digit \greenD88start color #1fab54, 8, end color #1fab54 in which number represents a value of 888 thousandths?

Arte-miy333 [17]

Question:

The digit 8 in which number represents a value of 8 thousandths?

Answer:

See Explanation

Step-by-step explanation:

The question requires options and the options are missing.

However, the following explanation will guide you

Start by representing 8 thousandths as a digit

$\frac{8}{1000} = 0.008$

i.e.

8 thousandths implies 0.008

Next;

Replace the 0s with dashes

_ . _ _8

Note that there are two dashes after the decimal point and before 8

PS: The dashes are used to represent digits

This implies that thousandths is the 3rd digit after the decimal point

Typical examples to back up this explanation are:

17.008, 1.1489, 0.008 and so on...

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3 years ago

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zepelin [54]

Answer:

Step-by-step explanation:

since $\sqrt{50}>\sqrt{49}=7$

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3 years ago