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3 years ago

Find the value of x and y <1=(10x) <2=(10y+20)<3 =100

Mathematics

1 answer:

Rufina [12.5K]3 years ago

3 0

Answer:

x = 10

y = 6

Step-by-step explanation:

We can use the vertical angle theorem to solve for most of this problem. We know that 1/3 will have the same measure and so will 4/2. We can create an equation to solve for 1 and 3.

10x = 100

x = 10

We aren't given angle 4 so we are going to have to solve that ourselves. We can create an equation knowing that 4 and 3 will create a supplementary angle.

100 + z = 180

z = 80

Now, that we have angle 4, we know that angle 2 will have the same measure because they are vertical angles. Now to find the value of y, we can take the angle measure and solve for it.

10y + 20 = 80

10y = 60

y = 6

Best of Luck!

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A rectangle has vertices (8, 6), (4, 6), (8, −4), and (4, −4). What are the coordinates after dilating from the origin by a scal

Mama L [17]

Answer: (12,9), (6,9), (12,-6) and (6,-6)

Step-by-step explanation:

Given: The coordinates of the original rectangle are (8, 6), (4, 6), (8, −4), and (4, −4). We know that the coordinates of the image after dilation from the origin by a scale factor of k is given by:_

$(xy)\rightarrow(kx,ky)$

Then, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are given by:_

(8, 6)→ $(8\times1.5,6\times1.5)=(12,9)$

(4, 6)→ $(4\times1.5,6\times1.5)=(6,9)$

(8, −4) → $(8\times1.5,-4\times1.5)=(12,-6)$

(4, −4)→ $(4\times1.5,-4\times1.5)=(6,-6)$

Hence, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are (12,9), (6,9), (12,-6) and (6,-6).

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3 years ago

3. There are 50,000 people at a stadium watching a soccer match, and 40,000 of them are

GalinKa [24]

Answer:

P(Male = 2) = 63.9%

Step-by-step explanation:

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3 years ago

Please help I dont understand

Studentka2010 [4]

Step-by-step explanation:

When it says y varies directly with x it just means that y and x are proportional/equal to each other. The constant of variation and the constant of proportionality are the same thing just different way of saying it so they can confuse you and make your life miserable. Since y and x are proportional to each other and the constant of proportionalty is -5 to make an equation that represents a line you use the formula y=mx+b. That is the slope of the line. With that formula let's first plus in the x so we have y=m2+b. The formula for direct variation is y=kx as well that's good to know and it's good to memorize all these formulas. Math becaomes easier when you have the process down pat and you just need to plug numbers into different equations, expressions, and scenarios. Do m = [y1 - y2] / [x1 - x2] and you'll get the answer.

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2 years ago

Need help with this asap. This question confuses me

Softa [21]

Answer:

<HKJ = 90

<FKG = 42

<FKJ = 138

<IKJ = 42

<FKH = 132

<GKI = 138

Step-by-Step :

<GKH , <HKI , and <IKJ all make up a line. A line is 180 degrees.

90 + 48 = 138 180 - 138 = 42 <IKJ = 42

<FKG is a vertical angle to <IKJ. Vertical angles are congruent.

<FKG = 42

<FKG and <FKJ make up a line. A line is 180 degrees.

180 - 42 = 138 <FKJ = 138

Hope this helps.

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Answer:

Step-by-step explanation:

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2 years ago

Find the value of x and y <1=(10x) <2=(10y+20)<3 =100 ​

Find the value of x and y <1=(10x) <2=(10y+20)<3 =100