Solve for x. The triangles in each pair are similar. Please explain!! I’m so confused

Solve For X. The Triangles In Each Pair Are Similar. Please Explain!! Im So Confused

Answers

Answer 1

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Given

[tex]\triangle JDC[/tex] similar to [tex]\triangle JKL[/tex]

Required

Find x

To do this, we make use of the following equivalent ratios

[tex]JK:JL = JD:JC[/tex]

This gives

[tex]98 : 63 = 7x + 7:27[/tex]

Express as fraction

[tex]\frac{98 }{ 63} =\frac{ 7x + 7}{27}[/tex]

Multiply both sides by 27

[tex]27 * \frac{98 }{ 63} =\frac{ 7x + 7}{27} * 27[/tex]

[tex]27 * \frac{98 }{ 63} =7x + 7[/tex]

[tex]3* \frac{98 }{ 7} =7x + 7[/tex]

[tex]3* 14 =7x + 7[/tex]

[tex]42 =7x + 7[/tex]

Collect like terms

[tex]7x = 42 - 7[/tex]

[tex]7x = 35[/tex]

Divide both sides by 7

[tex]x = 5[/tex]


Related Questions

what is the reciprocal of 9/7?

Answers

Answer:

its 7/9

Step-by-step explanation:

you just have to flip the fractions

Answer:

7/9

Step-by-step explanation:

Flip the fraction

At the start of the day, Megan has the following items for sale:
60 Sandwiches £2.40
40 Baguettes a £2.70
25 Jacket potatoes £3.25
She sells all the jacket potatoes, 65% of the sandwiches and 85% of the
baguettes.
What is the total value of her sales that day?​

Answers

Answer:

266.65

Step-by-step explanation:

65% of 60 = 39 sandwiches sold

85% of 40 = 34 baguettes sold

all Jacket potatoes sold 3.25 x 25

34 x 2.70

39 x 2.40

add the total and comes to 266.65

Find the sum of the first four terms of the geometric series 100 + 50 + 25 + ...

Answers

Answer:

Decimal:

100 + 50 + 25 + 12.5 + 6.25 + 3.125 + 1.5625

Fraction:

[tex]100 +50+25 + 12\frac{1}{2}+6\frac{1}{4}+3\frac{1}{8}+1\frac{9}{16}[/tex]

If two expressions have the same factor or base. What happens to the exponents when the expression are dividing

Answers

Answer:

whats the question tho?

Step-by-step explanation:

Find the amount after the specified time. A population of 1,236 grows 1.3% per year for 10 years.

Answers

Answer:

1,406

Step-by-step explanation:

p = a(1 + r)^t

p = 1,236(1.013)^10

p = 1,406.4131692427

p = 1,406

Wilcox, chief executive officer and chairman of the board of directors, owned 60 percent of the shares of Sterling Corporation. When the market price of Sterling’s shares was $22 per share, Wilcox sold all of his shares in Sterling to Conrad for $29 per share. The minority shareholders of Sterling brought suit against Wilcox demanding a pro rata share of the amount Wilcox received in excess of the market price. a. What are the arguments to support the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? b. What are the arguments to reject the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? c. Which side should prevail?

Answers

Answer:

Sterling Corporation

a. Arguments to support the minority shareholders' claim include:

1. If there is a provision to this effect in the Shareholders' agreement,

2. If the minority shareholders can prove that Wilcox oppressed the minority shareholders by selling off his shares in the corporation, and

3. If the Shareholders' agreement forbids Wilcox from selling off his shareholdings.

b. The arguments to reject the minority shareholders' claim include:

1. As the majority shareholder, Wilcox dictates the direction of firm until the sale-off.

2. Wilcox is within his rights to sell his shares to Conrad.

3. Wilcox does not oppress the minority shareholders with the sale to Conrad.

c.  Wilcox should prevail.  Apparently, he did not act illegally or contrary to agreement.

Step-by-step explanation:

Shareholding of Wilcox (chief executive officer and chairman of the BOD) = 60%, which is > 50%.

Shareholding of Minority shareholders = 40%, which is <50%

Market price per share of Sterling Corporation = $22

Selling price of Wilcox's shares = $29

Excess of the market price = $7 ($29 - $22)

PPLEASE HELP FAST
The social welfare department of town conducted a survey to know the number of illiterate males and females in the town. The results are given below.
Total number of males = 58,409
Total number of literate males = 47,354
Total number of females = 54,289
Total number of literate females = 42,876
Based on the above information answer the following questions.
a) Find the number of illiterate males and females and write their number name.

b) Find the total number of people in the town and round it to the nearest hundreds place.

Answers

A) 58,409 - 47,354 = 11,055
There are 11,055 illiterate males in the town.

54,289 - 42,876 = 11,413
There are 11,413 illiterate females in the town.

There are (11,413 - 11,055) 358 more illiterate females than males in the town.


B) There are exactly 112,698 people in the town. If rounded to nearest hundreds, there is approximately 112,700 people in the town.

2) A test consists of eight true/false questions. A student who forgot to study guesses randomly on every question. What is the probability that the student answers at most six questions correctly? ​

Answers

Answer:

Step-by-step explanation:

Guss

Answer help please!

Answers

I'm going to refer to the two separate triangles in this problem by their missing angles. So the smaller triangle is triangle 1, and the larger triangle is triangle 2.

Let's work on triangle 1 first.

We can easily find the supplementary angle to the 115 degree angle in the middle there, which is in triangle 1.

180 - 115 = 65

Now that we know two of the angles in the triangle, and we know that the sum of the interior angles in a triangle is 180, we can find our missing angle 1.

80 + 65 + <1 = 180

145 + <1 = 180

<1 = 35 degrees

Now let's go ahead and move on to triangle 2.

We can again find the supplementary angle to the 115 degree angle in the middle there, which is in triangle 2 also.

180 - 115 = 65

Then, we can use the same principle as we did with triangle 1 to find our missing angle 2 in triangle 2.

85 + 65 + <2 = 180

150 + <2 = 180

<2 = 30 degrees

Hope this helps!! :)

What does the digit 8 represent in 687, 413?

Answers

Answer:

80,000

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Hundreths

Step-by-step explanation:

FREE BRANLIEST PLEASE ANSWER WITH CORRECT EQUATIONS

Answers

Answer:

c.153 degrees

Step-by-step explanation:

hope it helps

Linear pairs are supplementary

m<ABD+27=180m<ABD=180-27m<ABD=153°

WILL GIVE U BRAINLIEST
What is the value of X by CPCTC?
A. 11
B. 8
C. 3
D. 7
E. Not enough info

Answers

The value of x by CPCTC is 3.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

We need to find the value of x.

CPCT theorem states that if two or more triangles which are congruent to each other are taken then the corresponding angles and the sides of the triangles are also congruent to each other.

The side x is congruent to the quadrilateral having length 3.

the value of x is 3

Hence, the value of x by CPCTC is 3.

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Select the correct answer.
This graph represents a function.
y
A
8-
61
+
2-
X
-8
-6
-4
- 2
2
4
6
8
-2
-4
-6-
-8
Which table contains points from the inverse of the graphed function?
A.
X х
-4
-3
-2.
-1
3
- 3
y
-1
1
B.
Х
-3
-1
3
1
у
-4
-3
-1
-2
.
-3
Х
3
- 1
2.
1
3
1
y
4
D.
Х
1
4
2
3
y
-3
-1
3

Answers

9514 1404 393

Answer:

  B

Step-by-step explanation:

To find the graph of the inverse function, swap the labels x and y on the axes of the given graph.

There are no x-values common to all the tables, but you can make a determination of the correct one by looking at x=1 and x=-1.

After you swap the axis labels you see that the points ...

  (x, y) = (1, -2) or (-1, -3)

are on the graph. These points are only found in the table of selection B.

The table contains points from the inverse of the graphed function is B. Table 2.

What is a graph?

A graph simply means a diagram that represents the variation of a variable when being compared with other variables.

In this case, the inverse of the graphed function will simply be done by switching all the values of x and y in each point. This is clearly illustrated in the second table.

Learn more about graphs on:

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Does the quadratic have a maximum or minimum
vertex, and does the parabola open up or down?

A)max/ opens up
B)max/ opens down
C)min/ opens up
D)min/ opens down

Answers

Answer:

B)max/ opens down

Step-by-step explanation:

Parabola equation:

The equation of a parabola has the following format:

[tex]y = ax^2 + bx + c[/tex]

If [tex]a > 0[/tex], that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.

If [tex]a < 0[/tex], that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.

In this question:

[tex]y = -x^2 - 2x + 3[/tex]

From the graph, we already see that it opens down and has a max, and analitically, since [tex]a = -1 < 0[/tex], this is confirmed. The correct answer is given by option b.

sidney writes two equations: I = 350n and E = 150n + 1000. The equations relate income I and operating expenses E to number of customers. Sidney writes the equation P = 350n − (150n + 1000) to show how tour profit P depends on the number of customers n. Use the rule to find profits P for 8, 12, 20, and 30 customers.

Answers

9514 1404 393

Answer:

  600, 1400, 3000, and 5000

Step-by-step explanation:

The profit equation can be simplified.

  P = 350n -(150n +1000)

  P = 200n -1000 . . . . . . . . . collect terms

  P = 200(n -5) . . . . . . . . . . . factor out 200

For the given numbers n, we have ...

  P = 200({8, 12, 20, 30} -5) = 200{3, 7, 15, 25} = {600, 1400, 3000, 5000}

Profits for 8, 12, 20, and 30 customers are 600, 1400, 3000, and 5000, respectively.

sum of the two angle is equal to 90 degree the ratio of measure of these is 4:5 I what are the measures of these two angle​

Answers

9x =90

x=90/9

=10

4×10= 40

5×10=50

which triangles are similar?​

Answers

Answer:

triangle a and b

Step-by-step explanation:

because its common knowledge

100 POINTS HELP!
I WILL GIVE BRAINLIEST TO THE BEST ANSWER
FAKE ANSWERS WILL BE REPORTED

Answers

Answer:

1.

In triangle ∆AFD ,∆BGD ,∆CHD

<AFD=<BGD=<CHD

[being corresponding angle]

<DAF=<DBG=<DCH

[being corresponding angle]

<D is common for all.

So

∆AFD ~∆BGD ~∆CHD

[By A .A .A. axiom]

look

again

at picture pasted

By AAA axiom ∆AFD , ∆BGD , ∆CHD are similar with each other.

What is Similarity of triangle?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.

a). In ΔAFD, ΔBGD, ΔCHD

∠AFD = ∠BGD = ∠CHD [being corresponding angle]

∠DAF = ∠DBG = ∠DCH  [being corresponding angle]

∠D is common for all.

So ∆AFD ~∆BGD ~∆CHD   [By A .A .A. axiom]

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In 15–20, write the number positioned at each point.

Answers

Answer:

See below.

Step-by-step explanation:

15.) -3.25

16.) -4.5

17.) 1.25

18.) -5.75

19.) 0.5

20.) -2.5

A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5

What is Number system?

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are

15.) -3.25

16.) -4.5

17.) 1.25

18.) -5.75

19.) 0.5

20.) -2.5

Therefore the points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5.

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Please solve fast. I will give Brainleist or whatever it’s called

Answers

Answer:

84in

Step-by-step explanation:

84in

PLEASEE HELPP ASAP!


Consider a right triangle which is
changing shape in the following
way. The horizontal leg is
increasing at the rate of 11 in/min
and the vertical leg is decreasing
at the rate of 5 in/min. At what rate <
is the hypotenuse changing in
in/min when the horizontal leg is 12
inches and the vertical leg is 9
inches?

Answers

Answer:

Step-by-step explanation:

GIVEN:    dx / dt=5 in./min.  and  dy/ dt=−6 in./min.

FIND:    dz/ dt when x=12 in. and y=9 in.

Use the Pythagorean Theorem to get the equation

x2+y2=z2

Now differentiate this equation with repect to time t getting

D{x2+y2}=D{z2}   ⟶

2xdxdt+2ydydt=2zdzdt   ⟶  

(Multiply both sides of the equation by 1/2.)

x dx/ dt+y dy/ dt= z dz/ dt              (DE)

Now let x=12 and y=9 and solve for z using the Pythagorean Theorem.

tex2html_wrap_inline125

122+92=z2   ⟶   z2=225   ⟶   z=15

Plug in all given rates and values to the equation (DE) getting

(12)(5)+(9)(−6)=(15)dz/ dt   ⟶

6=15dzdt   ⟶

dz/ dt=615=25 in/min.

Hope this answer helps you :)

Have a great day

Mark brainliest

final question of the 9 and with most of the point i can give so people dont pour in

Answers

Answer:

A=49 degree

a=13.5

b=11.7

Step-by-step explanation:

Help pls help pls help pls

Answers

Answer: 3900[tex]\pi[/tex] ft^3

if you use the formula on how to find the volume of a cone

V=[tex]\pi[/tex]r^2*h/3

you will insert 30 where the r is, 13 in where h is, after you just solve that and your answer would be 3900[tex]\pi[/tex] ft^3

What is the surface area of the cylinder with height 4 in and radius 5 in? Round your answer to the nearest thousandth .

Answers

Answer: 282.743 in2

Step-by-step explanation:

Find...
2/7 of 36
I really need help!

Answers

Answer:

10 2/7

Step-by-step explanation:

Of means multiply

2/7 *36

72/7

Changing from an improper fraction

70/7 +2/7

10 2/7

Answer:

[tex] \frac{2}{7 } \: of \: \: 36 \\ = \frac{2}{7} \times 36 \\ = \frac{2 \times 36}{7} \\ = \frac{72}{7} \\ = 10 \frac{2}{7} \\ = 10.28[/tex]

✐ The answer in fraction form is 72/7, & in decimal form is 10.28.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

find the exact value of cos A in simplest radical form

Answers

Answer:

cosA = 1/2

Step-by-step explanation:

cos = adj/hyp

cosA = 5 /10

cosA = 1/2

What the correct answer

Answers

Its ‘B’

100% sure

Plz mark me brainliest

A cook needs 42 pieces of tomato for salads The cook has 4 tomatoes He cuts each tomato into 6 pieces

Answers

He only has 24 so 18 left

Find the height of the pyramid.

Answers

Answer:

7

Step-by-step explanation:

Let the height of pyramid be h

[tex]v = \frac{1}{3} lwh[/tex]

v= 224

w= 8

l= 12

224=1/3(12)(8)(h)

224=32h

h=224/32

h=7

please help 5 points which one

Answers

Answer:

A) 9/2x3/8

Step-by-step explanation:

Other Questions
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