Find the values of m and n

The value of QR in the triangle is 16 units

Recall that Congruence of triangles represents the similarity of triangles. Two triangles are congruent if their corresponding sides and angles are congruent

The question states that  ΔPML≅ΔTRQ

This implies that ML/QR = PM/TR

⇒(7x-9)/2x+2  = 35/14

Cross and multiplying we have

14(7x-9) = 35(2x+2)

=98x-126 = 70x +70

98x-70x = 70+126

⇒28x = 196

Making x the subject of the formula

x= 196/28 = 7

Recall that the side QR = 2x+2

Then by substitution,

2(7) +2

14+2 =16

This therefore keeps the side QR as 16 units.

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Answer:

D

Step-by-step explanation:

I've attached one of those tables below

I'm going to solve this using the FV annuity formula

[tex]R(\frac{(1+i)^n-1}{i})[/tex]

where i is the effective rate of interest

r is the payment

n is the number of periods

to find the effective rate of interest we need to divide .08/2 (because the interest is compounding once every six months)

and the number of periods is 4*2 (because there are two periods a year(

[tex]1500(\frac{(1+.04)^8-1}{.04})=13821.33[/tex] which is equal to D

To use the table go to the effective rate of interest (4%) and then number of periods (8)

The number is 9.2142

mulitply that by the payment (1500) and get 13821.3 (D)

*the reason that the answers are slightly different is because the annuity table rounded whereas in the formula it was more exact*

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Answer:

  D.  $13,821.30

Step-by-step explanation:

The table is given in terms of interest rate per period and number of periods. The table assumes that money is invested at the same interval that interest compounding occurs.

Since you're investing $1500 every 6 months for 4 years, the 8% annual interest rate becomes 8%·(6/12) = 4% interest each 6-month period. In 4 years, there are 8 periods of 6 months. So, you look for the multiplier shown in the table that is at the intersection of 4% interest and 8 periods.

That multiplier is 9.2142, so the future value is ...

  FV = amount invested per period × multiplier from table

  = $1500 × 9.2142 = $13,821.30

__

The above is how you use the table.

You can also choose the correct answer based only on your number sense, without bothering with the table.

You are paying into the annuity 8 payments of $1500 each. That is a total input of 8 × $1500 = $12,000. You will be earning interest on that money, so the future value of the annuity is more than $12,000. Only one answer choice fits that description:

  D.  $13,821.30

Answer:

[tex]\frac{2}{13}[/tex]

Step-by-step explanation:

Since there are 26 students in the class and 6 play basketball, 15 play baseball, and 9 play neither, we need to find the intersection ([tex]\cap[/tex]) of the students who play basketball and the students who play baseball to find the number of students who play both.

Since it would appear that we would have 30 students total if we added up the ones who play basketball, baseball or neither, the intersection will be the difference between this total and the actual number of students in the class (26).

Therefore, the number of students who play both sports is [tex]6+15+9-26=4\:\text{students}[/tex]

Since there are 26 students in the class, the probability of randomly choosing one that plays both sports is:

[tex]\frac{4}{26}=\boxed{\frac{2}{13}}[/tex]

Answer:

-11/7

Step-by-step explanation:

y1-y2/x1-x2

7-(-4)/-2-5

11/-7

Answer:

-7/11

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-2) / -4 - 7

= 7 / -11

= -7/11

Answer:

x=0

y= x + 8

Step-by-step explanation:

find the oblique asymptotes using long polynomial divison

Answer:

 ^^

Step-by-step explanation:

Answer:

You didn't add the range. I'll use (0<x<2π)

cosx = -1/2

x=-cos-¹(1/2)

x= -60°

Cosine is negative in the second and 3rd quadrants

180-x ---- Second quadrant

x+180 ----- 3rd quadrant

So

Our answer

180-(-60)=240° or 4π/3 second quad

180+(-60) = 120° or 2π/3---- 3rd quad

Answer:

42.25 feet ³

Step-by-step explanation:

Volume of the box = length × width × height

Length = 6 1/2 feet = 6.5 feet

Width = 3.25 feet

Height = 2 feet

Volume of the box = length × width × height

= 6.5 feet × 3.25 feet × 2 feet

= 42.25 feet ³

Volume of the box = 42.25 cubic foot

Answer:

wdym

Step-by-step explanation:

i dont get it

Step-by-step explanation:

1 reflection 2.rotation 3 reflection 4 rotation

Answer:

18

Step-by-step explanation:

mark me as

brainliest

18

Answer:

144 ounces

Step-by-step explanation:

9514 1404 393

Answer:

  no iterations shown; the root is approximately -1.12911

Step-by-step explanation:

If your method of successive approximation is the Bisection Method, and if your initial interval is [-2, -1], then successive values of x used for reducing the interval are ...

  -1.5, -1.25, -1.125, -1.1875, -1.15625

__

If your method of successive approximation is Newton's method, and if your initial guess is -1.5, then successive values of x will be ...

  -1.1905079, -1.1309053, -1.1291151, -1.1291135

Another iteration confirms this last value is accurate to 8 significant figures.

Answer:

-5/4

-9/8

-19/16

Step-by-step explanation:

This is the answer given

Answer:

m = 35

n = 110

Step-by-step explanation:

70/2 = 35

70 + 70 = 140

360 - 140 = 220

220/2 = 110

Answer:

8

Step-by-step explanation:

Multiply both sides by 16

x = (2*16)/4

x = 32/4

x = 8

Answer:

::::::

x=8

Step-by-step explanation:

i think (i think)

Answer:

The supplementary angle is

153°.

The complementary angle is

63°.

Step-by-step explanation:

This is very right trust mne

Mark me brainlist

The measure of the supplementary angle and the measure of a complementary angle as follows; The supplementary angle is 153°. The complementary angle is 63°.

Two angles whose sum is 90° are called complementary angles.

Two angles whose sum is 180° are called supplementary angles.

If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

Those two-two angles are two pairs of supplementary angles.

That means, if supplementary angles are aligned adjacent to each other,

their exterior sides will make a straight line.

Therefore, The supplementary angle is 153°.

The complementary angle is 63°.

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Answer:

answer is D I think

Step-by-step explanation:

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

Answer:

X = 99

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

Hi there!

1) Determine the slope

Parallel lines always have the same slope. However, the given line x=8 is a vertical line organized in the form x=d, where d is the x-intercept. Therefore, the slope is undefined, and our line will also have an undefined slope.

Now, because this line will also be a vertical line, it will also be organized like:

x=d

2) Determine the x-intercept (d)

Note that all the points a vertical line passes through will have the same x-coordinate. We're given that this line passes through the point (-3,-2), so therefore, the x-intercept will be (-3,0).

Plug this into x=d:

x=-3

I hope this helps!

Answer:

plz mark brainliest

Answer:12345678910

Step-by-step explanation:

Answer:

It would be the fourth one

Step-by-step explanation:

Answer:

The answer is: u-3>-6

This is because 10-3=7 and 7>-6

Answer:

C. 110

Step-by-step explanation:

It decrease each time by 30

230-30=200

200-30=170

170-30=140

So

140-30=110

110 is the correct answer.

Hope this helps!!

Answer:

25.13

Step-by-step explanation:

C = 2πr

C = 2π(4)

C = 25.13

Hope this helps!

Answer:

72

Step-by-step explanation:

first, you cut the top of the T and you multiply 12 x 3 which is 36. Then with the 4 cm on both sides, I'm assuming the middle part is also 4 (since the other side is 12) and then you multiply 9 x 4 which is also 36, then you add and get 72!

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Answer:

  3√3 square units

Step-by-step explanation:

The area of a regular n-sided polygon with radius r is given by the formula ...

  A = (n/2)r²·sin(360°/n)

For n=3 and r=2, the area is ...

  A = (3/2)(2²)·sin(360°/3) = 6·sin(120°) = 6(√3/2)

  A = 3√3 . . . . square units

_____

Alternate solution

The center of this polygon is the centroid, which divides each median into parts with the ratio 2:1. This means the given radius is 2/3 of the height of the triangle. The base of the triangle is 2/√3 times the height, so is ...

  b = (2/√3)(3) = 2√3

The area using these dimensions is calculated as ...

  A = 1/2bh

  A = 1/2(2√3)(3) = 3√3 . . . . square units

Answer:

Solid A

Step-by-step explanation:

The formula to find the surface area of a cube = 6a²

Where a = side length

Solid A = 17ft

For solid A, surface area = 6 × (17 ft)²

= 1734 ft²

For Solid B

the conversion factor 3.28ft/ 1 m

Solid B = 5m

Hence, converting 5m to ft

1m = 3.28 ft

5m =

Cross Mulitiply

= 5m × 3.28ft

= 16.4 ft

Hence, the surface area of solid B =

6 × (16.4 ft)²

= 1613.76 ft²

The cube that has the larger surface area is Solid A

Answer:

I think its 132.

The total surface area of the triangular prism is 200 cm².

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

First, find the height of the prism.

Let h is the height of the prism

Use the pythagoras theorem

then

5² = (6/2)² + h²

5² = 3² + h²

25 = 9 + h²

h² = 25 - 9

h² = 16

h =4

Now apply the surface area formula

total surface area = ( 5 + 5 + 6) 11 + 6×4

                             = 16 × 11 + 24

                             = 176 +24

                             = 200 cm²

Hence the surface area is 200 cm²

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Answer:

[tex]49^{\frac{7}{2} }*81^{\frac{-1}{4} }*49^{\frac{5}{2}} \div343^{ \frac{-1}{3}}\\\\(7^2)^{\frac{7}{2} }*(3^4)^{\frac{-1}{4} }*(7^2)^{\frac{5}{2}} \div(7^3)^{ \frac{-1}{3}}\\\\7^7*3^{-1}*7^5 \div 7^{-1}\\\\7^{12} * 3^{-1} *7^1\\\\7^{13}*3^{-1}[/tex]

Answer:

ans = <ebc= 115°

hope this will help

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