Find the value of x in the isosceles triangle shown below

Find The Value Of X In The Isosceles Triangle Shown Below

Answers

Answer 1

Answer:

The answer is 12

Hope it helps

Answer 2

Answer:

x = 12

Step-by-step explanation:

Since the 2 legs and base angles are congruent the triangle is isosceles.

The line from the vertex to the base is a perpendicular bisector dividing the triangle into  2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles with legs 3 and [tex]\frac{1}{2}[/tex] x , hypotenuse [tex]\sqrt{45}[/tex] , then

([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²

[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides ²)

[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12


Related Questions

6. Nuni Lal borrowed RS. 2400 as a Loan for 5 years at
the rate of 6% per annum. Then immedietly he Lent the
Same amount to Briju Lal for 4 years at the rate of 10 percent
annum. How much profit or loss did nuni lal
make in this transaction. find it?

Answers

Step-by-step explanation:

hope it is helpful to you

In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest
inch.

Answers

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

[tex]m\angle G+m\angle H+m\angle I=180^\circ[/tex]

[tex]30^\circ+29^\circ+m\angle I=180^\circ[/tex]

[tex]59^\circ+m\angle I=180^\circ[/tex]

[tex]m\angle I=180^\circ-59^\circ[/tex]

[tex]m\angle I=121^\circ[/tex]

According to Law of sines,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using Law of sines, we get

[tex]\dfrac{h}{\sin H}=\dfrac{i}{\sin I}[/tex]

[tex]\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}[/tex]

[tex]\dfrac{300}{0.4848}=\dfrac{i}{0.8572}[/tex]

Multiply both sides by 0.8572.

[tex]\dfrac{300}{0.4848}\times 0.8572=i[/tex]

[tex]530.44554=i[/tex]

[tex]i\approx 530[/tex]

Therefore, the length of i is about 530 inches.

The following figure shows \triangle ABC△ABCtriangle, A, B, C with side lengths to the nearest tenth. Triangle ABC. Side AC measures 8 units and side BC measures 15 units. Angle B is 28 degrees. Triangle ABC. Side AC measures 8 units and side BC measures 15 units. Angle B is 28 degrees. Find m\angle Am∠Am, angle, A. Note that m\angle Am∠Am, angle, A is acute. Round to the nearest degree.

Answers

Answer:

62

Step-by-step explanation:

Khan Academy. I got this correct, so trust me :)

The measurement of the angle A for the considered triangle is found being of 62° approximately.

What is law of sines?

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

For the considered triangle, we can use sine rule.

In triangle ABC, we're given that:

|AC| = 8 units|BC| = 15 unitsm∠B = 28°m∠A = ?° (to be found)

The side opposite to angle A is BC and the side opposite to angle B is AC. Thus, by sine law, we get:

[tex]\dfrac{\sin(m\angle A)}{|BC|} = \dfrac{sin(m\angle B)}{|AC|}\\\\\dfrac{\sin(m\angle A)}{15} = \dfrac{\sin(28^\circ)}{8}\\\\\sin(m\angle A ) \approx \dfrac{15 \times 0.46947}{8} \approx 0.88026\\\\m\angle A \approx \sin^{-1}(0.88026)\\\\m\angle A \approx 61.67^\circ, 118.32^\circ[/tex]

But since angle A is acute(angle with measure of less than 90 degrees), thus, m∠A ≈ 61.67° ≈ 62°

Thus, the measurement of the angle A for the considered triangle is found being of 62° approximately.

Learn more about law of sines here:
https://brainly.com/question/17289163

The area of a triangular banner is 64 square feet. The base of the banner is 16 feet long. Write an equation you can use to find the height h of the banner. (Hint: A=1/2bxh)
Write it as an equation.

Answers

The equation would be h=(2A)/b

please help me!!!!!!

Answers

6x-8=50

X=9.666666 or 29/3 or 9 and 2/3
Hopes this helps:

Answer: x = 29/3

Please mark as brainlist if it’s right.

If a=4, b=6, and c=2. what is ab?

Answers

Step-by-step explanation:

a=4

b=6

c=2

ab=?

now

ab=a*b

=4*6

=24

Answer:

ab is 24

Step-by-step explanation:

a=4, b=6                                                                                                                   ab is a times b                                                                                                          4 times 6 equals 24                                                                                                    4*6=24                                                                                                                     your answer will be 24

HELPPPPP PLS!!!!!!!!

Answers

Answer:

1/2 chance

Step-by-step explanation:

there are 3 even numbers and three odd numbers, and 3 is half of 6

Help me pls it’s math TwT

Answers

I think its a buy i dont know

who wants to really help me ill give brainlist and 5.0 and say thanks

Answers

Answer:

Because 5 + 9 = 9 + 5

Step-by-step explanation:

Answer:

Choice a is the correct answer

Step-by-step explanation:

Equalvalent expressions are two expressions that result with the same answer.

pls mark me brainiest

Ramón and Merissa are driving to New York City after college. The first 300 miles they spend $12.50 on gas.
At this rate, if they drive 960 miles, how much will the gas cost for the entire trip? (Round your answer to the nearest dollar.)
O A. $100
B. $77
O c. $53
D. $40
O E. $28

Answers

Answer:

Step-by-step explanation:

$77

A 2.20 x 10-6 F capacitor is hooked
up to a 14.0 V power supply. How
much energy is stored in the
capacitor?

Answers

Answer:

[tex]E=2.15\times 10^{-4}\ J[/tex]

Step-by-step explanation:

Given that,

The capacitance of the capacitor, [tex]C=2.2\times 10^{-6}\ F[/tex]

Voltage of the power supply, V = 14 V

We need to find the energy stored in the capacitor.

The formula for the stored energy in the capacitor is given by :

[tex]E=\dfrac{1}{2}CV^2[/tex]

Put all the values,

[tex]E=\dfrac{1}{2}\times 2.2\times 10^{-6}\times 14^2\\\\E=2.15\times 10^{-4}\ J[/tex]

So, [tex]2.15\times 10^{-4}\ J[/tex] of energy is stored in the capacitor.

What digit is the most frequent between numbers 1 and 1,000(inclusive)?

Answers

Answer:

Total appearances = 9+180+3 = 192. It is obvious that the most frequent digit is 1. Number of digits from 1 to 1000. Total = 2893.

(7 + 5) · 2 - 4² ÷ 8 + 3
what is the answer for this? show work too

Answers

Answer: 0.5

Step-by-step explanation:

You need to use

Brackets

Indices

Division

Multiplication

Addition

Subtraction

7 + 5 =12

12 - 16 = -4

-4 / 8 = -0.5

-0.5 + 3 = 2.5

2.5 - 2 = 0.5

Answer: 4

Step-by-step explanation: 7+5=12

12×2=24

24- (4×4)= 24-16=8

8÷8=1

1+3=4

Solve for the value of v.

Answers

v is 8! (6v-4) would have to equal 50°, making v = 8

Answer:v=9

Step-by-step explanation:

6v-4=50

+4 +4

6v=54

divide both sides by 6

v=9

:))

PLEASE HELP, WILL GIVE BRAINLIEST
no links pls, i really need help

Answers

Answer:

4 units to the right

Step-by-step explanation:

the bigger units subtracted by the smaller units and the direction it is going

Answer:

I'm pretty sure the answer is D because a net force can't be just balanced to one side if there are two different forces, I hope this helps.

Step-by-step explanation:

can someone help me ?​

Answers

I am pretty sure the answer is 2 because the arrow is pointing to the left and since it is a open circle it is not an equal to

Answer:

2) x < 3

Step-by-step explanation:

The graph has an open circle (representing the signs < >) and its on the point "3". Since the line is going towards the left, it means x is less than 3. Therefore, the answer is 2) x < 3

help please!! ill mark you as brainliest if it’s correct

Answers

Answer:

[tex] {6}^{2} \times \pi \times 15 + \frac{1}{2} \times \frac{4}{3} \times \pi \times {6}^{3} = 19 \times {6}^{2} \times 3.14 = 2147.76[/tex]

Answer:

Step-by-step explanation:

Hemisphere Formula: ( 2 / 3 ) πR = V

Substitution: ( 2 / 3 ) 3.14 * 6 = 12.56

Cylinder Formula: πR^2 * H = V

Substitution: 3.14 * 6^2 * 15 = 1695.6

1695.6 + 12.56 = 1708.16

Please give me Brainliest if I'm correct ! :)

What is the surface area of this figure? Round to the nearest tenth if necessary.
10 ft
12 ft
6 ft
8 ft

Answers

Answer:

336 ft ²

Step-by-step explanation:

Find the area of the two triangles

In this case, both triangles are the same, so we can modify the formula for area of triangle

In the formula, we divide by two, but because we multiply the area by two for the two triangles, we can just use base x height

Triangles = 6 x 8 = 48 ft²

top rectangle = 10x12 = 120 ft²

bottom rectangle = 8x12 = 96 ft²

back rectangle = 6x12 = 72 ft²

Total = 48 ft² + 120 ft² + 96 ft² + 72 ft² = 336 ft²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Confused bab in need ☹️

Answers

Answer:

25 in^2

Step-by-step explanation:

So the area of a triangle is (Base * Height) / 2. The base, which is where the triangle "sits" is 10 in. The height is 5 in.

With this, these numbers can both be plugged in to get the answer:

(10 * 5) / 2

50/2

25 in^2

It is squared after the units since it is the area.

5) help with math question (in photo)

Pls don’t put answer in a link

Answers

Answer:

38.2

Step-by-step explanation:

d^2=1458

d=38.18


D square root = 729+ 729
D square root = 1458
Take the square root from both sides of the equation

D= 27sqrt2
D= -27 sqrt 2

2x - 9x + 13- 10
combine like terms pls help besties ​

Answers

Answer:

- 7x + 3

Step-by-step explanation:

2x - 9x + 13 - 10

- 7x + 13 - 10

- 7x + 3

The answer is -7x+3 <3

having a hard time with this

Answers

Answer:

the correct answer is D

Step-by-step explanation:

because the -9 5/8 is in absolute value marks.

Which lists the fractions from least to greatest?
A.-1/3,-2/3,1/3
B.1/3,-1/3,-2/3
C.1/3,-2/3,1/3
D.-2/3,1/3,-1/3
E.-2/3,-1/3,1/3

Answers

Answer:

E

Step-by-step explanation:

If 7x + 3 = 24, what is the value of 5 - 4x?

Answers

Answer:

Step-by-step explanation:

7x + 3= 24

7x= 24-3

7x= 21

x= 21/7

x= 3

Then we have that

5-4x

5-4(3)

5-12

Answer= -7

find the distance.show your work.
intial velocity is 30.20 meter per second and time Is 32.8 second​

Answers

Answer:

990.56

Step-by-step explanation:

because, Distance=velocity× time

Function g can be thought of as a translated (shifted) version of f(x) = 2?.
Write the equation for g(x).
NEED HELP ASAP

Answers

Answer:

g(x)=(x+5)^2

Step-by-step explanation:

the account looks like this, because you invert the sign 5 is negative to the left, so for the result to be negative in the account it has to be positive

g(x)=(x+5)^2

(x+5)^2=0

x+5=0

x=0-5

x=-5

Good Studies!!!

Y=(x-3)(x+5) in general form

Answers

Answer:

here is your answer

x²-9

what 10+10+10+10+10+10+9=

Answers

10+10+10+10+10+10+9=69

Answer:

its simple girl;;;;;

ans=69

(Ohh dear don't leave the question with this big pts!!! )

10 points!! Can yo7 say the answer and explain it I will give brainleest

Answers

Answer:

Can you add if you can add you have to add up every thing and the answer will be

Jayce looks around at an assembly. He notices his younger sister to his right and his older brother 48 feet ahead of him. If Jayce's brother and sister are 52 feet apart, how far apart are Jayce and his younger sister? * plzzzzzzzzzz 50 ppoints and brainliest

Answers

Answer:

I think it's 50

Step-by-step explanation:

48

49

50

51

52

50 8s inbetween the two

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