find the value of x in the isosceles triangle shown below​

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°

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

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.

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Answer:

0.44, or 8/18

Step-by-step explanation:

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

Answer:

4 6/7

Step-by-step explanation:

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:

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

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

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

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!

The measure of angle ∠JBC is 56 degrees.

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.

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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.

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:

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.

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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! :)

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].

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].

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Answer: Simplify the expression.

6.1b − 4.9

Answer:

125.54%

Step-by-step explanation:

160.7/128 = 1.2554

1.2554 *100 = 125.54%

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

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°

Answer: a lot

Step-by-step explanation:

Answer:

ummmm none? maybe

Step-by-step explanation:

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.

Answer:

d=12.5

Step-by-step explanation:

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

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.

Answer:

Step-by-step explanation:

Answer:

97611 is the correct answer

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]

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

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

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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.

Answer: 130

Step-by-step explanation:

The original price of the sweater is $303.

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.

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Answer:

-1

Step-by-step explanation:

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