find the value of x of given figure and solve this question step by step plzz help question number D​​

Answer:

15

Step-by-step explanation:

First we need to find the length of BC and for that we gonna use Pysagoras theorem

10^2 + (2√11)^2 = |BC|^2

√144 = |BC|^2

12 = BC Now we will use this to find the value of x

x^2 = 12^2 + 9^2

x^2 = 144 + 81

x^2 = 225

√x^2 = √225

x = 15

Answer:

The value of x is 15 cm.

Step-by-step explanation:

There are two triangles in the diagram that share a common side.

The triangles are:

ABC and BDC

First we have to find the third side of BDC so that we can use it to find the value of x.

The triangle is a right angled triangle so Pythagoras theorem can be used to find the third side.

In the triangle

[tex]Base = BD =10cm\\Hypotenuse = BC = ?\\Perpendicular = CD = 2\sqrt{11}cm[/tex]

Pythagoras theorem is given as:

[tex](Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2\\BC^2 = BD^2 + CD^2\\BC^2 = (10)^2 + (2\sqrt{11})^2\\BC^2 = 100+(2^2 * 11)\\BC^2 = 100+(4*11)\\BC^2 = 100+44\\BC^2 = 144\\\sqrt{BC^2} = \sqrt{144}\\BC = 12cm[/tex]

Now for triangle ABC

[tex]Base = BC = 12 cm\\Perpendicular = AB = 9 cm\\Hypotenuse = AC = x\\[/tex]

Using Pythagoras theorem

[tex]AC^2 = BC^2+AB^2\\x^2 = (12)^2 + (9)^2\\x^2 = 144+81\\x^2 = 225\\\sqrt{x^2} = \sqrt{225}\\x = 15cm[/tex]

Hence,

The value of x is 15 cm.

nicky bought 3 bags of flamin hot cheetos for a certain amount of money and a can soda for $1.50. all together he paid $5.25. How much did each bag of hot cheetos cost?

Please show your work. Convert decimals into fractions in simplest form

Write each decimal as a fraction in simplest form., And explain how you got your answer

1, :0.5=
2: 0.7=
3.0.33=
4: 0.875= 5.

Mr Ravenhead's car averages 23.75 mile per gallon. Express this amount as a mixed number in simplest form. Explain how you got answer. ​

In the figure below, lines w and z are parallel. What is the value of x

(x+5)(3x+2)
Area as a sum is what i need

Please help .... I’ll give the brainliest

Find the length of the leg x Enter the exact value, not a decimal approximation

A set of tyres normally costs £500
In a sale there is a 30% discount.
Work out the sale price of the set of tyres.

Calculator
(4y + 10°
What is the value of y?
Enter your answer in the box.
75°
(3x)
B
с
y =

can anyone help out with this?

What is the most efficient first step to isolate the variable term on one side of this equation?
-9x = 4x + 5
O Subtract 5 from both sides.
O Add 5 to both sides.
X Subtract 9x from both sides.
O Add 4x to both sides.
Done
Intro

PLEASE HELP
Which equation represents a function that is nonlinear?


y = 5x
y = 37
y = x*2 - 25
y = 2/3x + 67

A box has 18 candies in it: 3 are peppermint, 4 are caramel, and 11 are taffy. Jina wants to select two candies to eat for dessert. The first candy will be selected at random, and then the second candy will be selected at random from the remaining candies. What is the probability that the first candy selected is caramel and the second candy is taffy? Do not round your intermediate computations. Round your final answer to three decimal places.

David and Jillian are playing a board game together. Jillian wants to trade her wool cards for David's ore cards. The double number line shows that David will trade 3 more cards to Jillian for 6 wool cards. Based on the ratio shown in the double number line, how many wool cards does Jillian need to trade for 4 more cards?

A husband works for 6 straight days and then has a day off. His wife works for 5 straight days and then has a day off. If the husband and wife are both off from work on the same day, in how many days will they both be off from work again?

Which expression is equivalent to (4 + 6i)2? –20 + 48i 8 + 12i 16 – 36i 20 + 48i

DO NOT PAY MONEY FOR THIS SERVICE! SKETCHY EUROPEAN SCAM SIGHT!

Took my money, browser page and app will no longer display answers and I cannot use the contact us interface.
There is NO CUSTOMER SERVICE NUMBER.

THIS IS A S C A M BE WEARY

1,500 divided by 8 step by step

simplify (1.2a-0.1b)^2-2ab​

A pump removes 1500 gal of water from a pool at a constant rate 40 gal/min. Which equation models the amount of water y in the pool after t minutes?


A. y = 40t + 1500


B. y = -40t - 1500

C. y = 40t - 1500

D. y = -40t + 1500

Two lines are parallel, but are not the same line. Which of the following is not true of the lines? A. The slopes are the same. B. The lines have no points in common. C. The y-intercepts are not the same. D. The lines must have a positive slope. Please select the best answer from the choices provided A B C D

A large flagpole stands outside of an office building. Marquis realizes that when he looks up from the ground, 60m away from the flagpole, and the top of the building line up. If the flagpole is 35m tall, and Marquis is 170m from the building, how tall is the building?

roy wants to buy a new television for $300.

Daily Snowfall ( in inches ) during January in Syracuse New York ​

10z^2 -2z-2
10z
2
−2z−2

There is an error in the diagram. Choose the statement that best describes what is wrong.
A. The exterior angle of a triangle cannot be obtuse.

B. The exterior angle of a triangle must be greater than each remote interior angle.

C. The exterior angle of a triangle must be greater than all of the interior angles of the triangle.

D. The exterior angle of a triangle must be equal to a remote interior angle of the triangle.

what is the formula to find principal​

A local artist painted a copy of cezannes painting. it measures 88 in. ×74in. is the copy similar to the original? explain

The problem has been started for you.

9 StartLongDivisionSymbol 780 EndLongDivisionSymbol minus 72 = 60. 60 minus 54 = a remainder of 6 and a quotient of 86.blank.
What is the quotient?
86
86.6
86.ModifyingAbove 6 with bar
87

You need a 45% alcohol solution. On hand, you have a 175 mL of a 25% alcohol mixture. You also have 70% alcohol mixture. How much of the 70% mixture will you need to add to obtain the desired solution?

Write equation of line that goes through
pt (7,10) and has a slope of -5/3