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:

A

Step-by-step explanation:

The segment from the vertex to the base , bisects the base at right angles

Then there are 2 right triangles with legs x and 4 and hypotenuse [tex]\sqrt{52}[/tex]

Using Pythagoras' identity in either of the 2 right angles

x² + 4² = ([tex]\sqrt{52}[/tex] )²

x² + 16= 52 ( subtract 16 from both sides )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 → A


Related Questions

Between 2020 and 2021, the population of a town decreased by 35%
In 2021, the population of the town was 94,900

What was the population of the town in 2020?

Answers

Answer:

Step-by-step explanation:

Answer:

97611 is the correct answer

An above-ground swimming pool is 5 feet long, 4 feet wide, and 3 feet deep and is shaped like a rectangular prism. A rectangular prism has a length of 5 feet, height of 3 feet, and width of feet. If you use a net to find the amount of material used to make the pool, what faces are included in the calculation? 5-foot by 4-foot face(s) 5-foot by 3-foot face(s) 4-foot by 3-foot face(s)

Answers

Answer:

✔ 1

5-foot by 4-foot face(s)

✔ 2

5-foot by 3-foot face(s)

✔ 2

4-foot by 3-foot face(s)

Step-by-step explanation:

EDGE 2021

The faces that must be included are two faces that measure 5ft*3ft = 15 ft², another two faces that measure 4ft*3ft = 12ft², and one face that measures 5ft*4ft = 20ft².

what faces are included in the calculation?

For the pool, we need to consider the four lateral face and the bottom face . (not the top, as it is a hole actually).

So if we have:

length = 5ftwidth = 4fthegith = 3ft

Then we have two faces that measure 5ft*3ft = 15 ft², another two faces that measure 4ft*3ft = 12ft², and one face that measures 5ft*4ft = 20ft².

If you want to learn more about rectangular prisms:

https://brainly.com/question/1310421

#SPJ2

In how many ways can 8 books be choosen from a group of nine?

Answers

Answer:

9 ways

Step-by-step explanation:

You use combination to solve anything that deals with selection process.

So pressing 9C8 function on your calculator would give your answer.

Anyone who know what the answer please please help me faster??!!?!?!!!!

Answers

Answer:

60%

Step-by-step explanation:

Answer:

The answer is 60%

Step-by-step explanation:

The question tells us to find the probability of male sophomore students. From the question we know that the total number of sophomore students are 10 (6 male + 4 female). The probability is # of male student over the total # of sophomore students which is 6/10 = 0.6 now we multiply is it by 100% which gives us 60% (0.6 x 100% = 60%) as our answer.

Whats the answer to this?
−0.7(−5b−5b+7)−0.9b

Answers

Answer: Simplify the expression.

6.1b − 4.9

The cost of a barrel of beans, b, fluctuates by 17% in both directions during a three-month period.
Match each verbal description of the high and low cost of a barrel of beans with all equivalent expressions.
b + 0.17bb-0.17bb-1.17 -0.17b
0.830
1.17b
b is increased by 17%
bis decreased by 17%

Answers

Answer:

b is increased by 17% : A and E

b is decreased by 17%: H and J

Step-by-step explanation: Took the test hope this helps

if you had had a dog and a cat how many horses would u have

Answers

Answer: a lot

Step-by-step explanation:

Answer:

ummmm none? maybe

Step-by-step explanation:

Help asap 6th grade math

Answers

Answer:

the answer is 7

Step-by-step explanation:

because 7×31=217 so that means she wrote 7 pages each day for 31 days

160.7 is what percent of 128?

Answers

Answer:

125.54%

Step-by-step explanation:

160.7/128 = 1.2554

1.2554 *100 = 125.54%

The temperature during the night was -4. In the morning the temperature increased by 3. What is the temperature in the morning

Answers

Answer:

-1

Step-by-step explanation:

Night: -4
Morning: -4 + 3 = -1

WORK OUT ANGLE BXC.
GIVE A REASON FOR EACH ANGLE YOUR WORK OUT

Answers

Answer:

a) Angle XBC = 55° because it is a corresponding angle to 55°

b) angle BXC = 70°

Step-by-step explanation:

ΔXBC is an isosceles triangle because XB = XC

∠XCB = ∠XBC because ΔXBC is an isosceles triangle

∠BXC = 180° - 55° - 55° = 70° because the sum of all the interior angles of a triangle - 180°

Answer:

b) BXC=70

Step-by-step explanation:

a)

Angle XBC = 55° as XY and BD are parallel lines, the interior angles on the same side of a transversal are supplementary hence the same.

b)

Triangle BXC is isosceles when XBC and XCB are both 55°

XBC+XCB+BXC= 180° (sum of angles of triangle)

55°+55°+BXC=180°

110°+BXC= 180°

BXC= 180°-110°

BXC= 70°

PLEASE HELPPPP

Find the value of y

X+ y= 20
8x + 6y=133

Answers

Answer: x=13/2 and y=27/2

Help help help help help help help

Answers

Answer:

a + b

Step-by-step explanation:

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

x = a + b

Please help, give Brainliest

Answers

Answer:

0.44, or 8/18

Step-by-step explanation:

The probability of it being blue is 8/18 or 0.444... (0.44)

June is buying a sweater using a coupon offering a 30% discount on items over $99. If the discounted price is $91, how much was the original price of the sweater?

Answers

Answer: 130

Step-by-step explanation:

The original price of the sweater is $303.

What is discount?

A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.

Given that, June is buying a sweater using a coupon offering a 30% discount on items over $99.

The discounted price is $91

Let the original price of the sweater be x.

So, 30% of x=91

30/100 ×x=91

0.3x=91

x=91/0.3

x=$303

Therefore, the original price of the sweater is $303.

To learn more about the discount visit:

https://brainly.com/question/3541148.

#SPJ1

What is the answer please help me no
Links

Answers

i’m pretty sure the answer is y=50m+25

Kyle has a loan of $32,890
This loan has a simple interest rate of 8% per year
What is the amount of interest that Kyle will be
charged on the loan at the end of one year?

Answers

Answer:

$2,631.20

Step-by-step explanation:

We are told that the loan has a simple interest rate of 8% per year. This means that every year that goes on without Kyle paying back the money, he will have to pay an extra 8% of $32,890 as interest.

After one year, he only has to pay back one lot of interest, just 8% of $32,890.

To find that number we can change 8% into a decimal: 8%/100% = 0.08

And then multiply this by the amount of loan money:

0.08 x 32,890 = 2,631.20

Kyle has to pay $2,631.20 of interest at the end of one year.

Hope this helped!

Please Help! Need this to pass :/

Answers

Answer:

d=12.5

Step-by-step explanation:

.......................................

HAVE A NICE DAY
WILL GIVE BRAINLST :)

Answers

Answer:

6). x + 70° + 70° = 180°

x + 140° = 180°

x = 180° - 140° = 40°

Therefore x is equal to 40°

7). y + 55° +60° = 180°

y + 115° = 180°

y = 180° - 115° = 65°

Therefore x is equal to 65°

8). n + n + 50° = 180°

2n + 50° = 180°

2n = 180° - 50° = 130°

n = 130°/2 = 65°

Therefore both the angles are 65°

Explaination:

All the angles of a triangle always add up to 180°

Solve 10ax + 9b = 8cx + d for x

Answers

Answer:

Step-by-step explanation:
Step 1: Subtract 8cx from both sides of the equation to get

10ax + 9b - 8cx = d

Step 2: Subtract 9b from both sides of the equation to get

10ax - 8cx = d - 9b

Step 3: Multiply both sides of the equation by (-1/10) to get

-8cx/10 = -(d - 9b)/10

Step 4: Add (d - 9b)/10 to both sides of the equation to get

-8cx/10 + (d - 9b)/10 = 0

Step 5: Simplify the left side of the equation to get

x = (9b - d)/80

Therefore, x = (9b - d)/80 is the solution to the equation 10ax + 9b = 8cx + d.

Insurance companies are interested in the average health costs each year for their dients, so that they can
determine the costs of health insurance. Match the vocabulary word with its corresponding example.
888
All of the insurance company's dients
The cost each year for health care
The average health care cost each year for all of the insurance company's dients
The average health care cost each year for the 400 dients that the insurance company
included in this study
The 400 dients that the insurance company included in this study
The list of the 400 annual health care costs for the dients that the insurance company
indude in the study
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
f. Variable

Answers

Therefore , the solution of the given problem of population is . Sample - The 400 clients that the insurance company included in this study

Define Population.

In common parlance, a population is a distinct group of people who share a common citizenship, identity, or set of traits. A population is a sampling that is typical of a broader group of individuals (or even objects) that share one or more variables characteristics.

Here,

A party promises to reimburse another party in exchange for a fee in the case of a certain loss, damage, or injury as a way of financial loss protection. It is a method of risk management that is primarily employed to protect against the risk of a potential loss.

a. Parameter - The average health care cost each year for all of the insurance company's clients

b. Population - All of the insurance company's clients

c. Sample - The 400 clients that the insurance company included in this study

d. Statistic - The average health care costs each year for the 400 clients that the insurance company included in this study

e. Data - The list of the 400 annual health care costs for the clients that the insurance company includes in the study

f. Variable - The cost each year for health care

To know more about the Population visit: brainly.com/question/27991860

#SPJ1

Y+4>-3x-1 is (-1,4) show solution

Answers

Answer:

It is a solution

Step-by-step explanation:

Given

[tex]y + 4 > 3x-1[/tex]

Required

Is [tex](-1,4)[/tex] a solution

[tex](-1,4)[/tex] implies that:

[tex]x=-1\ \ \y = -4[/tex]

Substitute in:

[tex]y + 4 > 3x-1[/tex]

[tex]-4 + 4 > 3 * -1 -1[/tex]

[tex]-4 + 4 > -3 -1[/tex]

[tex]0 > -4[/tex]

The above inequality is true.

Hence, [tex](-1,4)[/tex] is a solution y + 4 > 3x-1

What is the coefficient in the expression 6 – 2 + 4n

Answers

Answer:

4

Step-by-step explanation:

The coefficient is 4 because it is the amount placed before a variable. The variable is the x, therefore, the coefficient is the 4, the amount placed before the x.

Hope this helps! :)

Whats the anwser for 3 2/7 + 1 4/7

Answers

Answer:

4 6/7

Step-by-step explanation:

The answer is 4 6/7

Simplify in radical form:
-x√28+10√63x²

Answers

Radical form is rather simple. It refers to the form of a number or algebraic expression where the number or expression is contained under a radical. The answer is [tex]$-8 \sqrt{2} x+30 \sqrt{6} x^2$[/tex].

What does in radical form mean?

Simply put, simplifying a radical eliminates the need to find any more square roots, cube roots, fourth roots, etc. when expressing it in its simplest radical form. Additionally, it entails eliminating any radicals from the denominator of a fraction.

A radical notation is an expression that makes use of a root, such as the square or cube root.

The fundamentals of radical form are simple. When a numerical or algebraic expression is under a radical, the term refers to that version of the expression. To improve that, we can manipulate a number or an algebraic expression in radical form to convert it to simplest radical form.

[tex]\text { Simplify }-x \sqrt{2} 8+10 \sqrt{6} 3 x^2:-\\\\8 \sqrt{2} x+30 \sqrt{6} x^2 -x \sqrt{2} \cdot 8+10 \sqrt{6} \cdot 3 x^2 \\\\& =-8 \sqrt{2} x+30 \sqrt{6} x^2\end{aligned}$$[/tex]

Therefore, the answer is [tex]$-8 \sqrt{2} x+30 \sqrt{6} x^2$[/tex].

To learn more about radical form visit:

brainly.com/question/28519153

#SPJ1

If m∠ABJ = 28, ∠ABC ≅ ∠DBJ, find m∠JBC

Answers

The measure of angle ∠JBC is 56 degrees.

How to find the measure of an angle

From the question

If m∠ABJ = 28 and ∠ABC ≅ ∠DBJ, then we can set up the following equation:

m∠ABC = m∠DBJ

Since angles ∠ABC and ∠DBJ are congruent, they have the same measure, so the equation above is true.

Since we are trying to find m∠JBC, we can use the fact that the measure of an angle is equal to the sum of the measures of the other two angles in the triangle to set up another equation:

m∠JBC = m∠ABC + m∠ABJ

Substituting the value for m∠ABC from the first equation into the second equation, we get:

m∠JBC = m∠DBJ + m∠ABJ

Substituting the given value of m∠ABJ into this equation, we get:

m∠JBC = m∠DBJ + 28

Since m∠ABJ = m∠DBJ, we can substitute m∠ABJ in for m∠DBJ:

m∠JBC = m∠ABJ + 28

Substituting the given value of m∠ABJ into this equation, we get:

m∠JBC = 28 + 28

Solving this equation, we find that m∠JBC = 56.

Therefore, the measure of angle ∠JBC is 56 degrees.

Learn more about measure of an angle at:https://brainly.com/question/26519394

#SPJ1

Convert 150 square centimeters into square feet.

Answers

Answer:

0.161459

Step-by-step explanation:

for an approximate result, divide the area value by 929

Answer:

0.16

Step-by-step explanation:

[tex]150~\div~929[/tex] ≈ [tex]0.16[/tex]

Select the correct answer from each drop-down menu.
A town's population was 10,000 in 2005. The population has increased by 10% per year since 2005.

This situation represents
The rate of growth or decay, r, is equal to ____. So each year the number of residents in the town is ___ times the number in the previous year.

There were around 14,641 residents in the town ___ years after 2005.

Answers

The rate of growth or decay, r, is equal to 0.10.

What is population?

Population in math refers to the set of all items of interest in a given context. It is the target or focus of a statistical study, and the objects described by the population's characteristics are known as population elements. It is important to define the population in detail before analyzing data and drawing conclusions. Examples of populations can include all students at a school, all people living in a particular country, or all people who bought a particular product.

So each year the number of residents in the town is 1.10 times the number in the previous year.

There were around 14,641 residents in the town 14 years after 2005.

To know more about population click-
https://brainly.com/question/25896797
#SPJ1

Please help!
11. A radio station plays 3 commercials for every
8 songs it plays. If they played 72 songs
during the moming segment, how many
commercials did they play?

Answers

they played 9 commercials 72/8 =9

Assume that y varies directly with x. If y = 18 when x = -3, find x when y = 6.

Answers

Answer:

x=-1

Step-by-step explanation:

y=kx

18=-3*k

k=-6

6=x*-6

x=-1

Answer:

x=-+1

Step-by-step explanation:

Other Questions
Question 3 (5 points) (02.06 MC) The table compares some characteristics of two atoms_ Charged Particles Atom Number 0f Neutrons Mass Number] Use the table t0 determine the number of protons for each atom: Then_ choose the statement below that Is true about the two atoms_ points) Atom X and Atom are in the same row; but not the same family; on the periodic table Atoms X and Atom Y are in the same family; but not the same row; in the periodic table; Atom Xis in a column to the right of Atom Y in the periodic table: Atom X and Atom occupy the same position in the periodic table because they are isotopes' Baily has been measuring the growth of a flower. It has grown of an inch each week. It is now 3 inches tall. How many weeks have passed.? Put these fractions into ascending order (smallest to largest): 8/15 2/15 9/15 6/15 12/15 A zygote is the same as a gamete, they are both haploid cells *TrueFalse Cuntos decimetros hoy en un metro? A) A sequence is defined using this term-to-term rule. Un+1 = 2un+ 20 If uy = 8, find u2 b) Another sequence is defined using this term-to-term rule, unty = ku,+r where k and rare constants. Given that u, = 37, uz = 188 and ug = 943, find the value of k and the value of r. There has been much controversy on immunizing children (vaccinating them), especially in regards to autism. This has led to the reappearance of sometimes deadly diseases, such as measles and mumps. what is your opinion? should children be vaccinated against diseases or not? Stone Age man had no use for musicO TrueO False a rectangular picture frame has dimensions of 2 feet by 3 feet. g Over the last several years your company has collected the following monthly repair frequency history on a key piece of manufacturing equipment. If the average repair cost (parts and labor) is $356/repair, calculate the expected annual repair budget for this piece of equipment. Repairs/month Probability 0 0.02 1 0.05 2 0.08 3 0.1 4 0.12 5 0.13 6 0.12 7 0.16 8 0.11 9 0.09 10 0.02 How is dinitrogen (1) oxide distinguished shed from oxygen find the output, g, when the input, r is 3g= -5 + 13 c.) Find the Surface Area of the Regular Pyramid. Surface Area: Volume: 24 yds 20 yds How do you find the 3rd side of a triangle? Find the slope of a line that passes through the given two points using ratio method What mutation did Lucy have? what is the volume of a cylinder in cubic feet with a height of 12 feet in a base diameter of 12 feet 9. As part of a class project, Areeb collected $126 in donations for a localhospice. That amount was 7% of the total amount collected by the class.How much money did the class collect in all? Malcolm is driving 1,273 miles from Wichita to Charleston for a family reunion. He drives 418 miles the firstday and 384 miles the second day. Round each distance to the nearest ten and estimate about how many milesMalcolm has left to drive.A.480 milesB.470 milesC.500 milesD.400 miles open the door,________? ( won't you/ will you/can you )