Mathematics College

solve similar triangles advanced Pleasee help! TIA

Answers

Answer 1

Answer:

[tex]x = 3.5[/tex]

Step-by-step explanation:

Given

Attached Triangle

Required

Find x

To solve for x, we make use of the following equivalent ratios:

[tex]CB : BA = ED : DA[/tex]

Where:

[tex]CB = 2[/tex]

[tex]BA = 4[/tex]

[tex]ED = x[/tex]

[tex]DA = 3 + 4 = 7[/tex]

So, the expression becomes:

[tex]CB : BA = ED : DA[/tex]

[tex]2 : 4 = x : 7[/tex]

Express as fraction

[tex]\frac{2 }{ 4} = \frac{x }{ 7}[/tex]

Multiply both sides by 7

[tex]7*\frac{2 }{ 4} = \frac{x }{ 7}*7[/tex]

[tex]7*\frac{2 }{ 4} = x[/tex]

[tex]\frac{7*2 }{ 4} = x[/tex]

[tex]\frac{14}{4} = x[/tex]

[tex]3.5 = x[/tex]

[tex]x = 3.5[/tex]

Related Questions

Adult Great Basin rattlesnakes have a mean length of 32.3 inches and a standard deviation of 5.3 inches; the length of adult Southern Pacific rattlesnakes is also 32.3 inches on average, but with a standard deviation of 7.95 inches. Both species have lengths that follow a normal distribution. You select a random sample of 36 Great Basin rattlesnakes and 100 Southern Pacific rattlesnakes. Which is more likely be shorter than 29.65 inches

Answers

Using the normal distribution and the central limit theorem, it is found that the sample of 36 Great Basin rattlesnakes is more likely to be shorter than 29.65 inches.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For the Sample of 36 Great Basin rattlesnakes:

The mean is [tex]\mu = 32.3[/tex].The standard deviation is [tex]\sigma = 5.3[/tex].Sample of 36, hence [tex]n = 36, s = \frac{5.3}{\sqrt{36}} = 0.88[/tex]We are interested in the percentile of 29.65 inches, hence [tex]X = 29.65[/tex].

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{29.65 - 32.3}{0.88}[/tex]

[tex]Z = -3.01[/tex]

For the Sample of 100 Southern Pacific rattlesnakes:

The mean is [tex]\mu = 32.3[/tex].The standard deviation is [tex]\sigma = 7.95[/tex].Sample of 100, hence [tex]n = 100, s = \frac{7.95}{\sqrt{100}} = 0.795[/tex]We are interested in the percentile of 29.65 inches, hence [tex]X = 29.65[/tex].

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{29.65 - 32.2}{0.795}[/tex]

[tex]Z = -3.33[/tex]

Due to the higher z-score, the random sample of 36 Great Basin rattlesnakes is at a higher percentile, hence it is more likely to be shorter than 29.65 inches,

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

Solve for a 4/a+4= -1/a+9

Answers

Answer:

a = -8

Step-by-step explanation:

4/a + 4 = -1/a + 9

-1(a + 4) = 4(a + 9)

-1a - 4 = 4a + 36

-5a - 4 = 36

-5a = 40

a = -8

What is the x-intercept of the graph of 2x - 4y = 7

Answers

Answer:

y=1/2x-7/4

Step-by-step explanation:

(3.5, 0)

Round 7095.38193145 to the nearest ten

Answers

Answer:

7100 is your answer for rounding it in the TENS place

If your rounding to the TENTHS place you are going to get 7095.4 as your answer.

Answer:

7100 in the tens place.

Step-by-step explanation:

13 inches eaquals iwhat n fraction

Answers

Answer:

13" = 13/1" = 13"

Step-by-step explanation:

What is the slope of the line shown in the graph?
A coordinate plane is shown. Points are graphed at −3 comma 2 and −1 comma −1. The points are connected by a line.

Answers

Slope= y2-y1/ x2-x1
= -1-2/-1+3
= -3/2 is the answer

20 POINTS FOR CORRECT HURRY PLS
The figure below shows two triangles on the coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x axis and from positive 6 to negative 6 on the y axis. A triangle ABC is shown with vertex A on ordered pair 4, 1, vertex B on ordered pair 3, 1, and vertex C on ordered pair 3, 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 4, 4, vertex B prime on ordered pair negative 3, 4, and vertex C prime on ordered pair negative 3, 1.

What set of transformations is performed on triangle ABC to form triangle A′B′C′?

A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin
A translation 5 units down, followed by a 270-degree counterclockwise rotation about the origin
A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down
A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units down

Answers

The answer is six because -3 minus one equals six

Answer:

Well, I think it’s the second one. (not exactly sure though)

Step-by-step explanation

Hope I helped. Pls mark brainliest

Dora is thinking of a number between 500 and 600
When she divides it by a 1-digit number it has a remainder of 4
What could Dora’s number be?

Answers

9514 1404 393

Answer:

500 ÷ 8 = 62 r 4, for example

Step-by-step explanation:

In order to have a remainder of 4, the divisor must be greater than 4, so could be any of 5, 6, 7, 8, 9.

The corresponding numbers could be any of ...

504 +5n . . . 0 ≤ n ≤ 19

502 +6n . . . 0 ≤ n ≤ 16

501 +7n . . . 0 ≤ n ≤ 14

500 +8n . . . 0 ≤ n ≤ 12

508 +9n . . . 0 ≤ n ≤ 10

For example, with the divisor being 6, and n=13, the number could be ...

580 = 6·96 + 4

Aimee can read 24 pages in 40 minutes. How many pages per hour can Aimee read?
A) 0.6 pages per hour
B) 36 pages per hour
C) 48 pages per hour
D) 60 pages per hour

Answers

36 pages per house hope this helps pls brainlest ☺️

Please find the slope of (-2, 4) and (3, -5)

Answers

Answer:

The slope of the line = m = -9/5

Step-by-step explanation:

Given the points

(-2, 4)(3, -5)

Determining the slope between (-2, 4) and (3, -5)

(x₁, y₁) = (-2, 4)

(x₂, y₂) = (3, -5)

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [-5 - 4] / [3 - (-2)]

= [-9] / [3 + 2]

= -9/5

Thus, the slope of the line = m = -9/5

Answer:

m = -9/5

Step-by-step explanation:

Taking (-2,4) as (x1,y1), and

Taking (3,-5) as (x2,y2)

Using the slope (m) formula:

[tex]m = \frac{y2-y1}{x2-x1}[/tex]

= (-5-4)/(3-(-2))

= -9/(3+2)

= -9/5

Hence, the slope is -9/5

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Help its pre-algebra haha help plz

Answers

Answer:

8 ramen bowls

4 pho bowls

Step-by-step explanation:

12-4=8

who wants a slushie ?

Answers

Answer:

i want a slushie what's your favorite slushie flavor

Find the value of the power.
(1/8)^3 =

Answers

Answer:

1/512 or 1/8^3

Step-by-step explanation:

Please change the mixed number into a improper fraction: 1. 7 and 5/16= *

helpp
A- 120/16
B-117/16

Answers

Answer:

117/16

Step-by-step explanation:

7 * 16 = 112

112+5 = 117

2x - 5y + 3z 5x + 9y - 2z

Answers

Answer:

3xz5+2x+4y−2z

Step-by-step explanation:

2x−5y+3z5x+9y−2z

=2x+−5y+3xz5+9y+−2z

Combine Like Terms:

=2x+−5y+3xz5+9y+−2z

=(3xz5)+(2x)+(−5y+9y)+(−2z)

=3xz5+2x+4y+−2z

What is the most specific name of the quadrilateral shown below?

quadrilateral
parallelogram
rectangle
square

Answers

Answer:

rectangle

Step-by-step explanation:

Answer:

Rectangle

Step-by-step explanation:

this is the answer

What is the perimeter of this shape

Answers

9514 1404 393

Answer:

72.6 cm

Step-by-step explanation:

It is the perimeter of the overall rectangle plus twice the depth of the notch.*

P = 2(L+W) +2d

P = 2(16 cm + 13 cm + 7.3 cm) = 2(36.3 cm)

P = 72.6 cm

The perimeter of the shape is 72.6 cm.

_____

* You may be able to visualize this if you imagine the bottom (top) of the notch translated out (down) to the edge of the rectangle. That translation does not affect the length of the line segment, but helps convince you that only the two legs of the notch are added to the perimeter of the rectangle.

I don’t get this Need help asap

Answers

Answer:

Step-by-step explanation:

x - 2y =8

-2y = -x + 8

[tex]y = \frac{-1}{-2}x+ \frac{8}{-2}\\\\y =\frac{1}{2}x - 4[/tex]

When x = 4,

[tex]y = \frac{1}{2}*4-4\\\\ = 2-4\\\\y = -2[/tex]

(4, - 2)

When x = -4,

[tex]y =\frac{1}{2}*(-4) - 4\\\\ = -2 - 4\\\\= - 6[/tex]

(-4, -6)

Plot the points (4, -2) and (-4 , -6) in the graph and Join the points

If the second term of an arithmetic progression is - 4 and the fourth term is 4, find the eighth term.

Answers

Answer:

Step-by-step explanation:

a₄ = a₁ + (4-1)d

4 = -4 + 3d

d = 8/3

a₈ = a₄ + (8-4)d = 4 + 4(8/3) = 14⅔

I need help
With this I will mark you if your awnser is right

Answers

Answer:

[tex]\boxed {\sf Equation: 60 \textdegree +4x= 180 \textdegree} \\[/tex]

[tex]\boxed {\sf x=30}[/tex]

Step-by-step explanation:

The interior angles of a triangle must add to 180 degrees.

In this triangle, the angles are A, B , and C. So,

∠A + ∠B + ∠C= 180°

∠A is 60 degrees, ∠B is 3x, and ∠C is x. We can substitute the values in.

60°+3x+x=180°

This is the equation we can use to find the value of x.

We also have like terms: 3x and x that can be combined.

60° + (3x+x)= 180° 60° + 4x=180°

We can use the equation to solve for x. We have to isolate the variable.

60 is being added to 4x. The inverse of addition is subtraction. Subtract 60 from both sides of the equation.

60°-60°+4x=180°-60°4x= 180°-60°4x=120°

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

4x/4= 120°/4x= 120°/4 x=30

According to the graph, what is the experimental probability of selecting the letter C?

Number of occurrences of letters

16.7%

24%

16%

20%

Answers

Answer:

16%

Step-by-step explanation:

50 events and C shows 8

50/8 = 16%

Answer:

45%???????????

Step-by-step explanation:

Write an equivalent expression for x + x + x

Answers

Answer:

x+2x is an equalent expression

Answer:

An equavalent expression is 3x+0

In ΔEFG, e = 690 cm, f = 650 cm and ∠G=58°. Find the length of g, to the nearest centimeter.

Answers

Answer:

651

Step-by-step explanation:

deltamath

Pls someone help I don’t get this

Answers

Answer:

its 8

Step-by-step explanation:

first divide 16 by pi which is 3.14

then divide your answer by 2 after that.

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