Given: JLM is equilateral. Z is the midpoint of JM.
Prove: JZL is congruent to MZL.

An axis of symmetry passes through the vertex and is perpendicular to the base. Then the correct options are B, C, and E.

Take a rectangle. This is the base. Now take 4 triangles such that each of them are connected to one-one side of the base rectangle and when they're taken together, they form a closed object. That shape is called rectangular pyramid.

The base of the pyramid is a rectangle that is not a square.

The pyramid has two planes of symmetry.

An axis of symmetry passes through the vertex and is perpendicular to the base.

An angle that measures 90° is an angle of rotation for an axis of symmetry for the pyramid.

Then the correct options are B, C, and E.

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Answer:

[tex] \sqrt{120} [/tex]

Step-by-step explanation:

√120 is irrational.

Answer:

3

Step-by-step explanation:

When you divide 27 by 3 it will give you 9 and the square root of 9 gives you a perfect answer indicating that 3 is the least number that must be divided into 27

Answer:

[tex]\fbox {3}[/tex]

Step-by-step explanation:

First, prime factorize 27 :

⇒ 27 = 3 × 3 × 3

If 27 was divided by 3, it would give 3 × 3, which would give 9, a perfect square.

The function will be f(x) = x²(x - a)²(x - b)(x - c). Then the correct option is A.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The graph is given below.

The factor of the function will be  

(x - 0), (x - a), (x - b), and (x - c)

Then the function will be

Then the function can be written as

f(x) = x²(x - a)²(x - b)(x - c)

Then the correct option is A.

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Answer:

The answer on Edge is Choice A

Step-by-step explanation:

Gene earns 2% interest after depositing $150 into his account , Option D.

A function is a law that relates an independent variable and a dependent variable with each other.

The function given is

f(x) = 0.02 x +150

Option D , Gene earns 2% interest after depositing $150 into his account

So this verbal description matches the function given as it represents , the total account balance of Gene .

Therefore Option D is the correct answer.

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Answer:

Linear pair of angles are formed when two lines intersect each other at a single point. Therefore, <ADC and <FDA are a linear pair.

Step-by-step explanation:

Inequalities help us to compare two unequal expressions. The correct options are 2 and 3.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The inequality for the red portion is,

slope, m = (-2/-4) = 1/2

y-intercept is 2.

y ≤ (1/2)x + 2

The inequality for the blue portion is,
slope, m = (5-0)/(3-0.5) = 2

y-intercept is -1.

y > 2x - 1

Hence, the correct options are 2 and 3.

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He needs to have $205783 amount of money to receive  $5000 every 6 months for 10 years.

Interest is the amount of money received , when a certain lump sum amount is deposited.

It is given that the person is receiving  ,

Interest = $5000 ,

after six months , every six month

Time Period = 10 years

Interest Rate = 4%

Compounded Semiannual

Let the principal amount be $x

Compound Interest is given by

Amount = P[ 1 + r/n]ⁿˣ

Here x is the time period

Therefore the Amount = x{ 1 +0.04/2}²⁰

x + 5000 *20 = x{ 1 +0.04/2}²⁰

x + 100000 = 1.486 x

x = $205783

Therefore he needs to have $205783 amount of money to receive  $5000 every 6 months for 10 years.

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In the equation given, the quadratic inequality  that shows the relationship above is: option B. y ≥ 0.2(x + 4)(x - 10).

Note that a quadratic function exist in factored form is as:

y = a(x - a)(x - b)

The zeros of the equation is seen at x = (-4, 10)

Therefore, one need to write an expression for the quadratic inequality and so it will be:

y ≥ a(x - a)(x - b)    

Also note that at At point (6, -8), we also have:

-8 = a(6 - (-4))(6 - 10)  

-8 = a(6 + 4)(6 - 10)

-8 = a(10)(-4)

-8 = -a(40)

a = 0.2.

Therefore, In the equation given, the quadratic inequality  that shows the relationship above is: option B. y ≥ 0.2(x + 4)(x - 10).

See full question below

Which statement describes the quadratic inequality in factored form that represents the relationship greater than or

equal to the quadratic equation containing the point (6, -8) on the boundary and zeros-4 and 10?

Oy2-0.2(x + 4)(x - 10)

Oy≥ 0.2(x + 4)(x - 10)

O y 20.2(x-4)(x + 10)

Oy2-0.2(x-4)(x + 10)

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The coefficient of the equation's independent variable would correspond to the: variable operating cost per delivery.

Variable operating cost can be defined as those cost that varies due to changes in a company or an organization day to day operating activity.

Delivery cost is an example of variables cost because cost of delivery a product or goods depends on the volume or units of the goods.

Therefore the coefficient of the equation's independent variable would correspond to the: variable operating cost per delivery.

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In order to proof that ∠ ABC + m ∠DBE = 180° the correct proof is given as follows:

Supplementary angles comprise of angles that are on a straight line and which must add up to 180°

It is right to state therefore, that  ∠ABC, ∠CBD are supplementary angels.

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1) line segment MJ≅ Line segment MP

2) ∡OJP≅∡OML

3) line segment OM≅line segment MP

The below mentioned statements are true according to the figure , Option A, B and D is the correct answer.

A line that intersects the curve at a single point at 90 degree is called a tangent.

In the given figure it can be seen that the

Therefore , Option A , B and D is the correct answer

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An augmented matrix is invertible if the linear system has a unique solution.

The augmented matrix is known as a rectangular matrix.

The properties of an augmented matrix includes:

Note that the inverse of a matrix must be unique

And If A is invertible, then its inverse is unique.

If the linear system is unique, then the augmented matrix is invertible.

Thus, an augmented matrix is invertible if the linear system has a unique solution.

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Answer:

This is my answer:

Step-by-step explanation:

The measure of the angle EFD will be 68 degrees. The correct answer is option B.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given that:-

The arc angle is 68 degrees and we need to find the angle EFD.

As it is given in the question that the angle suspended by the arc is 68 degrees so the angle EFD will also be equal to 60 degrees.

Therefore the measure of the angle EFD will be 68 degrees. The correct answer is option B.

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Answer:

y = 0.10 x + 130. y = 0.15 x + 108

Step-by-step explanation:

0.10 and 0.15 are the slope in the equation y = mx + b since it requires an input (number of miles) to spit out an output (number of miles*0.10 = price) and the x intercept is 130 and 108 creating the equation  y = 0.10 x + 130. y = 0.15 x + 108.

The expansion of the polynomial is given as:

[tex](5x^3+\frac{14}{3x^4})=15625x^{18}+87500x^{11} +\frac{612500}{3}x^3+\frac{6860000}{27x^3}+\frac{4802000}{27x^{10}}+\frac{5378280}{81x^{17}}+\frac{7529536}{729x^{24}}[/tex]

An equation is an expression that shows the relationship between two or more numbers and variables.

The expansion is given as:

[tex](5x^3+\frac{14}{3x^4})=15625x^{18}+87500x^{11} +\frac{612500}{3}x^3+\frac{6860000}{27x^3}+\frac{4802000}{27x^{10}}+\frac{5378280}{81x^{17}}+\frac{7529536}{729x^{24}}[/tex]

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Mitch and Terry were 0.5 km away from the scenic cliff

Sea level is the base for calculating the depth and the elevation of Earth

It is given that

Total Height of the scenic Cliff = 6.6km

After 1 hour the brothers are at = 6.6 - 1.3 km = 5.3 km from the sea level.

They climb back 0.8 km in the next hour so they will be

5.3 +.8 = 6.1 km from the sea level

6.6 - 6.1 = 0.5 km

Therefore the brothers are 0.5 km away from the scenic cliff

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The length of TV would be  [tex]y^{2}[/tex] + 2y -1.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Given parallelogram STUV,

The length of TW = [tex]y^{2}[/tex]

WV = 2y - 1

The length of TV = TW + WV

=  [tex]y^{2}[/tex] + 2y -1

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Answer:

2 & 3

Step-by-step explanation:

2. High Interest Rates

High-interest rates make it more difficult for businesses to invest. For instance, a small store that is just starting is going to find it hard to make repayments at an interest rate of 20 or 30 percent. It also sucks out money from the economy and re-directs it to the banks. As the interest rates are so high, businesses and consumers reduce their demand for credit. In turn, there is a contraction in the money supply which can lead to deflation.

The effects of high interest rates can be dire if not managed correctly and subtly by central banks. If the interest rates are increased too fast, too high, and too rapidly, we will see the aforementioned effects such as lower business investment and deflation. Therefore, it can contribute to a transition towards an economic contraction in the business cycle.

3. Declining Real Incomes

Inflation can create a drain on consumer incomes as it decreases its value year on year. Therefore, if firms do not increase wages in line with inflation, the average worker will be able to afford less than before.

If real incomes decline, it means consumers have less income to spend on goods and services in the economy. In turn, a prolonged period of decline in real incomes can contribute to an economic contraction in the business cycle.

Answer

is 3 just did it on edge

Step-by-step explanation:

Answer:

A function

Step-by-step explanation:

A function is a relation in which each element of the domain is paired with exactly one element of the range.

Heyo!

The equation when displayed on a graph that lies entirely above the x-axis would be Option 4) y = (x - 7)^2.

Hope this helps! If so, please lmk! Also, if you have any questions, feel free to comment below. Good luck!

Answer:

Step-by-step explanation:

Here, ΔTPQ is isosceles and TO is the angle bisector of ∠PTO.

[∵ TP=TQ = Tangents from T upon the circle]

⠀⠀⠀⠀⠀⠀⠀⠀∴ OT⊥PQ

⠀⠀⠀

___________________________________________

[tex]\longmapsto{}[/tex]By Applying Pythagoras Theorem in ∆OPR :

OR = √OP² - PR²

OR = √5² - 4²

OR = 3cm

__________________________________________

Now,

[tex]\leadsto[/tex]∠TPR + ∠RPO = 90° (∵TPO=90°)

[tex]\leadsto[/tex]∠TPR + ∠PTR (∵TRP=90°)

[tex]\leadsto[/tex]∴ ∠RPO = ∠PTR

⠀⠀

∴ Right triangle TRP is similar to the right triangle PRO. [By A-A Rule of similar triangles]

⟼[tex]\frac{TP}{PO} = \frac{RP}{RO} [/tex]

⟼[tex]\frac{TP}{5} = \frac{4}{3} [/tex]

⟼[tex]TP= \frac{20}{3} [/tex]

⠀⠀⠀⠀⠀

The zeroes of the function f(x) = x (x – 8) will be 0 and 8.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The function is given below.

f(x) = x (x – 8)

The zeroes of the function f(x) is given by the factor equals to zero.

Then we have

      f(x) = 0

x(x – 8) = 0

          x = 0, 8

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Answer:

Where is the formula

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

look at the picture carefully

Answer:

£40

Step-by-step explanation:

sum the parts of the ratio, 2 + 5 = 7 parts

divide the amount by 7 to find the value of one part of the ratio.

£56 ÷ 7 = £8 , then

5 parts = 5 × £8 = £40 ← amount Georgia gets

Out of £56, the money received by Georgia is equivalent to $40.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given is Gary and Georgia who split £56 in the ratio 2:5.

There are total of 7 parts. This means that £56 is divided equally among the seven parts. Assume that the one part is equivalent to x. Then the cost of 7 parts = 7x. From the question, we can write -

7x = 56

x = 8

Georgia has 5 parts, therefore the money received by Georgia will be = 5 x 8 = 40

Therefore, out of £56, the money received by Georgia is equivalent to $40.

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Answer:

[tex]8^{\frac{x}{3} }[/tex]

Step-by-step explanation:

You are correct, P(red) = P(green) = 0.25.