The two triangles shown are congruent.
Find the value of x

The Two Triangles Shown Are Congruent.Find The Value Of X

Answers

Answer 1

Answer:

x = 11

Step-by-step explanation:

right triangle ABC

using Pythagoras' identity

BC² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )

BC = [tex]\sqrt{625}[/tex] = 25

Since the triangles are congruent then corresponding sides are congruent.

ST = BC , that is

3x - 8 = 25 ( add 8 to both sides )

3x = 33 ( divide both sides by 3 )

x = 11


Related Questions

What is 20% of 350? Please explain

Answers

Answer:

70

Step-by-step explanation:

20% is the same thing as 1/5

350 times 1/5 is 70.

Answer:

70

Step-by-step explanation:

.2 * 350 = 70

2(x -9) = 9 divided ( - 1/3) what value of x makes the equation true
plsss help :)))

Answers

Answer:

x = -9/2

Step-by-step explanation:

1. Divide 9 by -1/3:

[tex]\frac{9}{1}[/tex] ÷ [tex]-\frac{1}{3}[/tex] = [tex]\frac{9}{1}[/tex] · [tex]-\frac{3}{1}[/tex]

= -27

2. Divide both sides by 2:

2(x - 9) = -27

[tex]\frac{2(x-9)}{2} = \frac{-27}{2}[/tex]

(x - 9) = [tex]-\frac{27}{2}[/tex]

3. Add 9 to both sides:

x = [tex]-\frac{9}{2}[/tex]

(or 4.5 if you need it in decimal form)

hope this helps!

Point A is located at (-3, 0) and is rotated 90°. What are the coordinates of point A'?

(-3, 0)

(0, -3)

(3, 0)

(0, 3)

Answers

Answer:

(0,-3)

Step-by-step explanation:

Rotating a point 90° from the second quadrant to the third on a (x,y) graph follows the transformation,

(x,y) → (-x,y)

Are the ratios 7:9 and 3:6 equivalent?

Answers

Answer: No

Step-by-step explanation:

A balloon rises to 100 feet in 4 minutes and 125 feet in 5 minutes. Write and solve an equation to find the distance the balloon rises in 8 minutes. Use d for distance and m for minutes. Write the equation and the answer separated by a semi-colon. Included the unit in your answer. For example, d = 5m; 35 feet​

Answers

Answer:

A proportion is the name we give to a statement in which 2 ratios are equal. Proportions are built off of ratios. It is usually written in one of 2 ways

Step-by-step explanation:

Answer:

there are two different ways it can go up but it will be a ratio amount of air in the

The force-extension data for a spring are recorded in the graph below. Assuming force is measured in newtons and
extension in meters, what is the spring constant for this spring?

Answers

∆ F/ ∆e = K

(5.4-2.1)/(1.8-0.7)= K

3.3/1.1 = K

K = 3

Solve x² + 11x +18=0 by factoring.
A
x = 3 or x=6
B
x=-6 or x = -3
C
x = 2 or x = 9
D
x = -9 or x = -2

Answers

-(11+sqrt(121-4*18))/2 = -(11 +sqrt(49))/2 = -9

Or

-(11-sqrt(121-4*18))/2 = -(11-sqrt(49))/2 = -2

D is the answer

Find the equation of the perpendicular from the point P(-1,-2) on the line
3x + 4y - 12 = 0. also find the coordinates of the foot of the perpendicular.

Answers

eq :- 4x - 3y - 2 =0and coordinates :- (44/25,42/25)

Step-by-step explanation:-

The given line is 3x + 4y - 12 = 0

=> 4y = -3x + 12 ....(i)

=> y = -3x/4 + 3,

therefore, the slope of the line (i) = -3/4.

From P(-1,-2), draw PN perpendicular to the given line. (see attachment)

As we know,, m2 = -1/m1

So, the slope of the line PN = 4/3

the equation of the line through P(-1,-2) and having a slope 4/3 is :-

= > y - (-2) = 4/3 * (x - (-1))

= > 3y + 6 = 4x + 4

= > 4x - 3y - 2 = 0....(ii)

which is the required equation of the perpendicular from P to the given line. To find the coordinates of N (the foot of perpendicular), solve (i) and (ii) simultaneously. Multiplying (i) by 3 and

(ii) by 4, and on adding, we get

= > 25x - 44 = 0

= > x = 44/25

Multiplying (i) by 4 and (ii) by 3, and on subtracting, we get :-

= > 25y - 42 = 0

= > y = 42/25

Hence, the coordinates of the foot of the perpendicular are (44/25 , 42/25)

Hope it helps you!!

(44/25 , 42/25)

these are the points

A circle with two chords is shown below in the figure. Find the value of x.
X
8
x+12
12
X =

Answers

A circle with two chords is given with length X, 8, x-12, 12. Thus, The value of x is 24.

What is the relation between line perpendicular to chord from the center of circle?

If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing in two equal parts) the line segment AB.

Or

|AC| = |CB|

Using the theorem of intersecting chords

[tex]12x =8(x-12)\\\\12x = 8x - 96\\\\12x - 8x = 96\\\\4x = 96\\\\x = 24[/tex]

The value of x is 24.

Learn more about chord of a circle here:

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#SPJ1

how many square feet of outdoor carpet will we need for this hole? 4ft 12ft 8ft 3ft

Answers

You will need 38 square feet of carpet.


Hoped that helped

Answer:

56ft

Step-by-step explanation:

first you need to break the shape u so 1 rectangle and 2 triangles so first we need to find the area of the rectangle

Area of rectangle= w x h so 5* 8= 40

Area of triangle = .5 x b x h so 4 x 4 x .5 = 8 and since we have 2 double that and you get 16 so then you need to add it all up and u get the answer 56

can anyone help me with this? no links

Answers

Answer:

Step-by-step explanation:

as you see the top "moves" like

2,4,6,8, and next will be 10

the bottom adds 3 to the previos answer

5,8,11,14,  next will be 15

5th card is 10/15

What is the multiplication problem that means the same thing as the division problem 1/9 divided by 12?

1/9 x 12

1/9 x 1/12

9/1 x 12

1/12 x 108

Answers

Answer:

B

Step-by-step explanation:

We must find the reciprocal of 12, which is 1/12. This means 1/9 divided by 12 is 1/9 times 1/12.

Ssolve 2 and 6, only if you know cuz I'm stuck on this​

Answers

Answer:

2. Linear Pair Prostulate
6. Transitive Property

Step-by-step explanation:

The profit (p) a baker earned, in dollars, is proportional to the number of muffins (m) sold. This equation represents this relationship.

P = 0.75m
enter the profit earned for each muffin sold.

Answers

P = 0.75m represents the proportional relationship, therefore, the profit earned for each muffin sold is: $0.75.

What is Proportional Relationship?

If two variables, i.e. P and m are directly proportional to each other, the relationship between them can be represented as P = km, where k is the constant.

Given that P = 0.75m represents the proportional relationship between the profit earned and muffins sold, the constant, k, is 0.75, which is the profit earned for each muffin sold.

Learn more about proportional relationship on:

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Write your own equation in slope-intercept form and graph.

Answers

Answer:

No se

Step-by-step explanation

Espero Averte Ayudado:

A circle has a diameter of 12 ft. What is the length of an arc intercepted by a 60° central angle?

Answers

Answer: It's 6.28319 feet

Step-by-step explanation:

help me! 50 points and brainlyist
A fireman needs to get water to a second-floor fire. His ladder is 33 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.

(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest tenth of a degree and show all your work.

(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 55°. Will the ladder be safe the way it is positioned? Explain.

Answers

Answer: (a) 64°

(b) Yes, it is safe

Step-by-step explanation:

A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.

(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.

We solve the above question using the trigonometric function of Sine

sin θ = Opposite side/Hypotenuse sides

θ = Angle formed with the ground = ?

Opposite side = 27 ft

Hypotenuse side = 30 ft

Hence,

sin θ = 27 ft/30 ft

sin θ = 9/10 = 0.9

θ = arc sin (0.9)

θ = 64.158067237°

Approximately to the nearest whole number = 64°

(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?

From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°

Hence:

64° < 70°

Therefore, the ladder will be safe the way it is positioned.

Calculate the mean of the electric bills for Family A. Round your answer to the nearest cent.

Month | Family A | Family C

January | $88.82 | $134.51

February | $84.80 | $118.06

March | $62.35 | $109.28

April | $65.17 | $90.15

May | $60.20 | $91.20

June | $74.86 | $96.36

July | $92.15 | $130.71

August | $99.89 | $129.16

September | $96.45 | $107.77

October | $81.63 | $100.95

November | $64.12 | $107.64

December | $72.58 | $123.82

Answers

Answer:

The mean for Family A=78.585 , ≈78.59

Step-by-step explanation:

I solved this with a TI-84 CE calculator. To do this you press stat-edit-put in the numbers-2nd+mode-stat-right arrow key-calc-1_Var_Stats-Calculate. Then X with the _ over it would be your mean.

Andrea bough a bucket of colored chalk. The list below shows the fraction of each color of chalk in the bucket. 2/6 are yellow, 5/12 are blue, and 3/12 are green. Andrea told Michelle that less than 1/2 the chalk in the bucket is blue. Michelle said she is mistaken. Who is correct? Explain why you chose your answer.​

Answers

Given the fraction of each colored chalk, Andrea is right that less than 1/2 the chalk in the bucket is blue.

How to solve fractions?

Yellow = 2/6Blue = 5/12Green = 3/12

Total = 2/6 + 5/12 + 3/12

= (4+5+3) / 12

= 12/12

= 1

Fraction of blue : Total chalk

= 5/12 : 1

Blue = 5/12 ÷ 1

= 5/12 × 1/1

= 5/12

= 0.42

So,

1/2 = 0.5

Therefore, Andrea is right that less than 1/2 the chalk in the bucket is blue.

Learn more about fraction:

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4. The figure below shows three small circles, each with a diameter of 6 centimeters, inside a larger
circle.
.6.cm ....6.cm ..Y. 6 cm
What is the approximate area of the shaded part of the figure? Use 3.14 for .
A. 169.56 square centimeters
B. 678.24 square centimeters
C. 254.34 square centimeters
D. 226.08 square centimeters

Answers

Answer: A

Step-by-step explanation:

plug in 3 for the equation y=-x^2+12x-20​

Answers

Step-by-step explanation:

y=(-x^2)+12x-20

=(-(3)^2)+12(3)-20

=(-9)+36-20

=16-9=7

y=7

I hope it helped you

Find the volume.
10 km
8 km
4 km
6 km

Answers

Answer:

1920

Step-by-step explanation:

10 x 8 = 80

80 x 4 = 320

320 x 6 = 1920

At store A a pair of shoes is
on sale for 25% off the
regular price of $30. At store
B the same pair of shoes is
on sale for 20% off the
regular price of $28. What is
the difference between the
sales price of the two stores?

Answers

Answer:

the.answer is a a pair of shoes is on sale for 25% off the regular 30 at the store

Plot the data points into the calculator. Resize the window to fit the data and use the power regression function.

What is the power regression equation for these data points? Round to the nearest hundredth.

A )y = 71. 59x0. 49

B) y = 72. 49x0. 50

C) y = 73. 48x0. 51

D) y = 72. 34x0. 50

Answers

Answer:

y = 72.49x0.50

Step-by-step explanation:

A circle has a radius if 20 centimeters and a central angle that measures 118 degrees. Find the length of the arc defined by thus central angle

Answers

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =118 \end{cases}\implies \begin{array}{llll} s=\cfrac{(118)\pi (20)}{180}\implies s=\cfrac{118\pi }{9} \\\\\\ s\approx 41.19~cm \end{array}[/tex]

A rectangular rug has side lengths of (x- 2) feet
space does it cover?
and (x + 3) feet. How much floor space does it cover

Answers

Hi!

Your answer is [tex]x^2+x+6[/tex]

We are asked to find the floor space it covers, which we can solve for by finding the area of the rectangular rug, given its dimensions.

Dimensions:

(x - 2) x (x + 3)

Area of a rectangle:

Length x Width = Area

Plug dimensions into the formula:

[tex](x - 2)(x +3)[/tex]

Use the Distributive Property and FOIL method to solve (if you are not familiar with the FOIL method, see the image attached below):

[tex]x^2+3x-2x-6[/tex]

Combine like terms:

[tex]x^2+x-6[/tex]

Now, this isn't a numerical value, but as we do not know the value of x, this is the simplest answer we can get.

Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?

The triangle is acute because 22 + 52 > 42.
The triangle is acute because 2 + 4 > 5.
The triangle is not acute because 22 + 42 < 52.
The triangle is not acute because 22 < 42 + 52.

Answers

Answer:

The second one. (The triangle is not acute because 2+4>5)

Step-by-step explanation:

If you try to make the triangle, one angle would be obtuse so it's not acute.

Pls give brainly, im trying to get the most possible :>

Students in biology class are learning about the monarch butterfly’s life cycle. Each student is given a caterpillar. When a caterpillar turns into a chrysalis, it is placed in a glass enclosed with food and a heat lamp and examined.

A. Determine whether the situation describes a survey, an experiment or an observational study.

B. identify the sample, and suggest a population from which it was selected.

Answers

Answer: observational study

Step-by-step explanation:

i think its a observational study because they are learning about somthing and to learn about it you have to study and they are given a specemin to observe to that they can study it as it grows therfore why i think the answer  is C. Observational study.

What is the y-coordinate of point D after a translation of (x, y) → (x + 6, y – 4)?

Answers

Translating the triangle DEF involves moving the triangle along the coordinate plane

The y-coordinate of point D after the translation (x, y) → (x + 6, y – 4) is 1

How to determine the y-coordinate of D'?

From the figure the coordinate of D is:

D = (-2.5,5)

The rule of translation is given as:

(x, y) → (x + 6, y – 4)

So, we have:

(x, y) → (-2.5 + 6, 5 – 4)

Evaluate the sum and the difference

(x, y) → (3.5, 1)

Remove the x-coordinate

y → 1

Hence, the y-coordinate of point D after the translation is 1

Read more about translation at:

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Jimmy has a collection of baseball cards. He wants to make at most $50.00 by selling some of them for $3.00 per card. Which inequality best represents this goal?



\$3.00c\geq\$50.00


\$3.00c\leq\$50.00


\$3.00c=\$50.00


\$3.00c<\$50.00


\$3.00c>\$50.00


I don't know

Answers

Answer:

3c ≤ 50

Step-by-step explanation:

Each card is sold by $3, the number of cards is c.

The total is 3c and it needs to be at most $50:

3c ≤ 50

Is the correct inequality for this case

Let the no of cards be c

Rate per card=$3

Now

The inequality is

3×c≤503c≤50

Or

3.00c≤50.00
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