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Given:
MNOP is a parallelogram
Prove:
PM  ON
(For this proof, use only the definition of a parallelogram; don’t use any properties)

Answer:

48x^2 - 22x - 15

Step-by-step explanation:

(6x - 5)(8x + 3)

48x^2 + 18x - 40x - 15

48x^2 - 22x - 15

Answer:A

Step-by-step explanation:

Answer: Letter A

Step-by-step explanation:

Answer:

D. ABCD is rotated 180° around the origin

Step-by-step explanation:

The formula for an 180° rotation around the origin is (-x, -y).

Answer:

39,182 in expanded form:

Step-by-step explanation:

30,000 + 9,000 + 100 + 80 + 2

Answer:

£170000

Step-by-step explanation:

In 2010, Rafik bought a house. Let us assume Rafik bought the house for $x.  In 2015, Rafik sold the house to Bianca and made 20% profit. 20% profit = 20% of x = 0.2 × x = 0.2x. Therefore Rafik sold the house to Bianca at x + 0.2x = 1.2x. Bianca bought the house at 1.2x

The house was sold by Bianca at 5% loss in 2019. 5% loss = 0.05(1.2x) = 0.06x

Therefore the house was sold by Bianca at 1.2x - 0.06x = 1.14x. Since Bianca sold the house at £193800.

⇒ 1.14x = 193800

x = 193800/1.14

x = £170000

Rafik paid £170000 for the house in 2010

Step-by-step explanation:

I recommend that you download the symbolab application, it is very good, it helps a lot

Answer:

well if you go by the allaphat then A would be the smallest digit

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

(1)155 degrees

(2)135 degrees

(3)105 degrees

Step-by-step explanation:

Let the original angle [tex]= \theta[/tex]

Angle Bisector of the original angle = [tex]\dfrac{ \theta}{2}[/tex]

If the other angle forms a linear pair, then:

The other angle, [tex]\beta=180^\circ-\theta[/tex]

Therefore, the measure of the angle formed by the angle bisector of the original angle and the opposite ray is:

[tex]\dfrac{ \theta}{2}+180^\circ-\theta\\=180^\circ-\dfrac{ \theta}{2}[/tex]

(1)If the angle equals 50°

Then the measurement of the required angle

[tex]=180^\circ-\dfrac{ 50}{2}\\=180^\circ-25^\circ\\=155^\circ[/tex]

(2)If the angle equals 90°

Then the measurement of the required angle

[tex]=180^\circ-\dfrac{ 90}{2}\\=180^\circ-45^\circ\\=135^\circ[/tex]

{3)If the angle equals 150°

Then the measurement of the required angle

[tex]=180^\circ-\dfrac{ 150}{2}\\=180^\circ-75^\circ\\=105^\circ[/tex]

See attachment for an example of the graphical solution.

Answer:

y = 49

Step-by-step explanation:

y ∝ x²

=> y = kx²

Where k is the constant of proportionality

k = 1 (We've found this out in the previous question)

Now,

y = ? when x = 7

The above equation becomes:

=> y = (1)(7)²

=> y = (1)(49)

=> y = 49

Answer:

5x^2 -3x +9

Step-by-step explanation:

(5x2 + 7) - (3x - 2)

Distribute the minus sign

5x^2 +7 -3x +2

Combine like terms

5x^2 -3x +9

Answer:

Step-by

Q1

PROOF

consider triangle ACT and ARD

CA=CA [GIVEN]

angle 1 = angle 2 [GIVEN]

angle CAT = angle  RAD [OPPOSITE ANGLES]

hence  ,triangle ACT is congruent to triangle  ARD [by SAS]

hence , angle 3 = angle 4 [ by cpct]

Q2

PROOF

consider triangle TSU and TVU

TU =TU [commn]

UV = US [given]

angle TUS = angle TUV [ given]

hence, triangle TSU congruent to TVU [ by SAS]

hence, VT = ST

Q3

PROOF

consider triangle ABC and ADC

AC = AC [ common]

angle ACB = angle ACD [given ]

angle ADC = angle ABC [ 90 degree ]

hence they are congruent [by AAS]

BC = DC  [ CPCT]

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Answer:

solution,

[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]

hope this helps ....

Good luck on your assignment...

By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.

We have given that x=4cm , y=4cm and z=13cm.

By applying trigonometry of tan which is perpendicular upon base i.e. P/B

A triangle would be constructed , base would be z=13cm

and x and y will define the other 2 lines of 4 cm each.

tan Ф = perpendicular/ base,

tan Ф = 13/4

Ф = tan [tex]^{-1}[/tex] (3.25cm)

Ф = 72.9°

Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ2

Answer:

c. (3, [tex]\frac{7\pi }{6}[/tex] )

Step-by-step explanation:

In order to do this, you must solve using the answer choices, not by solving it yourself. This is because you can generate many answers from the graph itself so it is best to look for which answer choices you can eliminate. In this answer choice, there are no negatives, therefore, you don't have to convert by reflecting across the pole or polar axis, making this question easy. Polar coordinates are represented as so: (r, θ) with r representing the radius and theta representing the angle. The distance of z from the middle point is 3 units, so the radius is 3. If you look at the unit circle, [tex]\frac{7\pi }{6}[/tex] resides in the same quadrant where z is at the moment, so you don't have to do any converting there. Therefore, this is your answer.

Answer:

take square root of both sides

Step-by-step explanation:

you want to isolate x.

Answer:

125 meters squared

Step-by-step explanation:

Surface area of initial pyramid:

Surface area of extended pyramid:

The difference is:

Answer:

X=12.09

Step-by-step explanation:

Tangent=opposite/adjacent

Tan29=6.7/x

X tan29=6.7

X=6.7/tan29

X=12.087

X=12.09

Answer:

(C) 4

Step-by-step explanation:

I am going to solve this by trial and error:

(A) 1

Is: [tex](11)^{3} = 85181[/tex]?

[tex](11)^3 = 1331[/tex]

So 1 is not the digit of N.

(B) 2

Is: [tex](22)^{3} = 85182[/tex]?

[tex]22^3 = 10648[/tex]

So 2 is not the digit of N.

(C) 4

Is: [tex](44)^{3} = 85184[/tex]?

[tex]44^3 = 85184[/tex]

Correct, so the answer is c.

(D) 5

[tex]55^3 = 166375 \neq 85185[/tex]

(E) 6

[tex]66^3 = 287496 \neq 85186[/tex]

[tex]answer \\ 5 \\ solution \\ let \: the \: points \: be \: a \: and \: b \\ a(3 , 8) = > (x1 , y1) \\ b(1 , - 2) = > (x2 , y2) \\ slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: = \frac{ - 2 - 8}{1 - 3} \\ \: \: \: \: \: = \frac{ - 10}{ - 2} \\ \: \: \: \: \: \: = 5 \\ hope \: it \: helps[/tex]

To find the slope of the line, I will be showing you the table method.

To find the slope of the line using the table method,

we start by making a table for our ordered pairs.

We will put the x values in the left column

and the y values in the right column.

Our first ordered pair is (3, 8), so we put a

3 in the x column and a 8 in the y column.

Our second ordered pair is (1, -2), so we put a

1 in the x column and a -2 in the y column.

Next, remember that the slope or m, is always equal to

the rate of change or the change in y over the change in x.

Using our table, we can see that the y values

go from 8 to -2 so the change in y is -10.

The x values go from 3 to 1 so the change in x is 2.

Therefore, the rate of change, or the change in y

over the change in x is -10/2 which reduces to 5.

This means that the slope is also equal to 5.

Answer:

Barry ate the most cheese.

He ate

[tex]1/2[/tex]

While Marcy ate

[tex]1/4[/tex]

[tex]1/2 >1/4[/tex]

This shows that 1/2 is greater than 1/4

So, Barry ate the most cheese

Answer:

B.

Step-by-step explanation:

Causation is often confused with correlation because they are so similar. B would mean that pollution is caused from something (lets say greenhouse gases for example) which then results in more cases of heart disease.

Causation is when the first variable may bring the second into existence or may cause the incidence of the second variable to fluctuate. So, causation is the capacity of one variable to influence another. Which, would make B, a suitable candidate.

Answer:

Step-by-step explanation:

3y+2x=30

3y = 30-2x

y=30/3 - 2/3x

y=10-2/3x

now plug in the options

1) 0,10 and 15,0

y=10-2/3*0 where x is 0 and thus y equals y=10-0 --> y =10

For (15,0), y=10-2/3*15 which becomes y=0 so the (15,0) pair works

Which mean line joining 0,10 and 15,0 fits the equation. Now since we want to stay below the $30, area below it is what will get them to stay within budget

Answer:

There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555

Step-by-step explanation:

Given the functions:

f(x) = x² + 4x + 10

g(x) = -32x - 40

we want to find the points at which f(x) = g(x).

x² + 4x + 10 = -32x - 40

x² + 4x + 10 + 32x + 40 = 0

x² + 36x + 50 = 0

Using quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)} [/tex]

[tex]x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)} [/tex]

[tex]x = \frac{-36 \pm 33.11}{2} [/tex]

[tex]x_1 = \frac{-36 + 33.11}{2} [/tex]

[tex]x_1 = -1.445 [/tex]

[tex]x_2 = \frac{-36 - 33.11}{2} [/tex]

[tex]x_2 = -34.555[/tex]

428.46

400+28+.46= 428.46

Trust me if you remember what hundredths and tenths mean it will help a lot in 6-7th grade math.

Answer:C

Step-by-step explanation: because multiplication is only follow when you convert greater unit to smaller unit which in this case is kilolitres to liters

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Answer:

C

Step-by-step explanation:

So the other person can be brainleist

Answer:

Y=3x+14

Step-by-step explanation:

For perpendicular lines they have gradients which are recipricol to one another and -ve

E.g 1/3 gradient of perpendicular line is-3

Gradient of the perpendicular line is 3

Y-2/x--4=3

Y-2=3(x+4)

Y-2=3x+12

Y=3x+12+2

Y=3x+14

Answer:

(40, 20)

Step-by-step explanation:

first substitute 2x for y in y = x + 20: 2x = x + 20

flip the equation: x + 20 = 2x

subtract 20 from both sides: x + 20 - 20 = 2x - 20

simplify: x = 2x - 20

subtract 2x from both sides: x - 2x = 2x - 2x - 20

simplify: -x = -20

divide both sides by -1: -x/-1 = -20/-1

simplify: x = 20

substitute 20 for x in y = 2x or y = x + 20: y = 20 * 2 or y = 20 + 20

x = 20 y = 40

(40, 20)

Answer:

(20,40)

Step-by-step explanation:

First one: y=2x

y=40

x=20

40=2(20)

40=40 true

Second one:  y=x+20

y=40

x=20

40=20+20

40=40 true

therefore the answer is (20,40)

Answer:

56/33

Step-by-step explanation:

8/11 * 7/3

Multiply the numerator

8*7 = 56

Multiply the denominator

11*3 = 33

Put the numerator over the denominator

56/33

Answer:

56/33

Step-by-step explanation:

[tex]\frac{8}{11} *\frac{7}{3}[/tex]   Original equation

[tex]\frac{8*7}{11*3}[/tex]

[tex]\frac{56}{33}[/tex]   Simplify

Answer:

v < 33

Step-by-step explanation:

If v has to be less than 33, then writing the inequality < (not less than or equal to: ≤), is the best way to go.

Can you delete mine please thx

Answer:

r=12.7323

Step-by-step explanation:

We find out the arc length formula when multiplying this equation by Θ:

Θ=45 degrees=π/4

L = r * Θ

r=L/Θ=10/π/4=40/π=12.7323

this answer is for sector(part of a circle)