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3 years ago

Find the values of x and y.

Mathematics

2 answers:

madreJ [45]3 years ago

6 0

Answer:

x = 20, y = 70

Step-by-step explanation:

The angle adjacent to 40° is 180° - 40° = 140°

Since the triangle on the right has 2 congruent sides then it is isosceles and its base angles are congruent, both x

2x + 140 = 180 ← sum of 3 angles in triangle

Subtract 140 from both sides

2x = 40 ( divide both sides by 2 )

x = 20

------------------------------------------

The angle inside the triangle on the left is 90° - 20° = 70° , then

y = 180 - (40 + 70) = 180 - 110 = 70

Orlov [11]3 years ago

3 0

Answer:

x = 15x

Step-by-step explanation:

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Tyrell's SAT math score was in the 64th percentile. If all SAT math scores are normally distributed with a mean of 500 and a sta

jarptica [38.1K]

Answer:

$P(x < 535.8) = 0.64$

$P_{64} = 535.8$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 100

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.64

P(X<x) = 0.64

$P( X < x) = P( z < \displaystyle\frac{x - 500}{10})=0.64$

Calculation the value from standard normal z table, we have, $p(z$

$\displaystyle\frac{x - 500}{100} = 0.358\\x = 535.8$

$P(x < 535.8) = 0.64$

$P_{64} = 535.8$

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3 years ago

AB, CD, and EF are straight lines intersecting at point O. Find x.

frutty [35]

Answer:

Firstly, identify all the pairs of vertically opposite angles. Vertically opposite angles are equal.

In this case,

AOC & DOB are vertically opposite angles so both of them are 2x°

EOD & COF are vertically opposite angles so they are both 3x°.

FOB & EOA are vertically opposite angles so they are both x°.

Adding the values of all 6 angles, we get:

3x + 3x + 2x + 2x + x + x = 12x

We also know that

12x = 360°

x = 30°

8 0

3 years ago

What is 3/6 = 15/x could you please tell me the answer I need it bad Ummm here is another one what is 35 x 189 and 123 x 1245 12

tangare [24]

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3 years ago

PLEASE HELP ME!

VLD [36.1K]

Answer:

Reflection across y-axis followed by dilation with scale factor 4 and center (0,0).

Step-by-step explanation:

From the given figure it is noticed that the vertices of preimage are E(-2,1), F(-2,0) and G(-3,0). The vertices of image are E'(8,4), F'(8,0) and G'(12,0).

The triangle E'F'G' is enlargement of mirror image of EFG. Therefore reflect the triangle EFG across y-axis. If a point reflects across y-axis, then

$(x,y)\rightarrow (-x,y)$

The new vertices of the triangle are E(2,1), F(2,0) and G(3,0).

Length of FG is 1 unit and length of F'G' is 4 units. The scale factor is

$\frac{F'G'}{FG}=\frac{4}{1}=4$

Length of OF is 2 unit and length of OF' is 8 units.

$\frac{OF'}{OF}=\frac{8}{2}=4$

Rule of dilation with scale factor k and origin as center of dilation is defined as

$(x,y)\rightarrow (kx,ky)$

The vertices of image are E'(8,4), F'(8,0) and G'(12,0).

Since the distance ratio of image and preimage from the origin is same as the scale factor, therefore the center of dilation is origin.

Thus, the triangle EFG can form the triangle E’F’G’ using reflection across y-axis followed by dilation with scale factor 4 and center (0,0).

Notes: In this case dilation with scale factor 4 and center (0,0) followed by reflection across y-axis will give the same results.

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3 years ago

Which graph shows the solutions to inequality?

RSB [31]

Answer:

the solution is q < 5.

answer is c

6 0

3 years ago

Read 2 more answers

Find the values of x and y.​

Find the values of x and y.