MATHEMATICS HIGH SCHOOL

Let n = 5. What is the value of 4n − 3?









A.

8








B.
17







C.
20







D.
23

Answers

Answer 1
Answer: 4 times 5 is 20 then take away 3 which is 17. So the answer is B
Answer 2
Answer: 4*5-3=20-3=17 ⇒ B
...............

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Lamar is writing a coordinate proof to show that a segment from the midpoint of the hypotenuse of a right triangle to the opposite vertex forms two triangles with equal areas. He starts by assigning coordinates as given.A right triangle is graphed on a coordinate plane. The horizontal x-axis and y-axis are solid, and the grid is hidden. The vertices are labeled as M, K, and L. The vertex labeled as M lies on begin ordered pair 0 comma 0 end ordered pair. The vertex labeled as K lies on begin ordered pair 0 comma 2 b end ordered pair. The vertex labeled as L lies on begin ordered pair 2a comma 0 end ordered pair. A bisector is drawn from point M to the line KL. The intersection point on line KL is labeled as N.

Enter the answers to complete the coordinate proof.
N is the midpoint of KL¯¯¯¯¯KL¯ . Therefore, the coordinates of N are (a,
).

To find the area of △KNM△KNM , the length of the base MK is 2b, and the length of the height is a. So an expression for the area of △KNM△KNM is
.

To find the area of △MNL△MNL , the length of the base ML is
, and the length of the height is
. So an expression for the area of △MNL△MNL is ab.

Comparing the expressions for the areas shows that the areas of the triangles are equal.

Answers

The coordinates of N is (a,b) using the midpoint formula.
The area for △KNM is (1/2)(a)(2b) = ab
The area of △MNL is ab.
Since the area of △KNM = △MNL and the area of △KML is 2ab, then we have proved that a segment from the midpoint of the hypotenuse of a right triangle to the opposite vertex forms two triangles with equal areas.

1. N is a midpoint of the segment KL, then N has coordinates

\left((x_K+x_L)/(2),(y_K+y_L)/(2) \right) =\left((0+2a)/(2),(2b+0)/(2) \right) =(a,b).

2. To find the area of △KNM, the length of the base MK is 2b, and the length of the height is a. So an expression for the area of △KNM is

A_(KMN)=(1)/(2)\cdot \text{base}\cdot \text{height}=(1)/(2)\cdot 2b\cdot a=ab.

3. To find the area of △MNL, the length of the base ML is 2a and the length of the height is b. So an expression for the area of △MNL is

A_(MNL)=(1)/(2)\cdot \text{base}\cdot \text{height}=(1)/(2)\cdot 2a\cdot b=ab.

4. Comparing the expressions for the areas you have that the area A_(KMN) is equal to the area A_(MNL). This means that the segment from the midpoint of the hypotenuse of a right triangle to the opposite vertex forms two triangles with equal areas.

Translate the variable expression into a word phrase. k + 8

A.
the sum of a number and eight

B.
the product of a number and eight

C.
the quotient of a number and eight

D.
the difference of a number and eight

Answers

A you are adding 8 and an unknown number

The perimeter of a picture frame is 24 inches. If the width of the picture frame is 5 inches, what is the length of the picture frame?

Answers

l=7
2l+2w=24
2l+2x5=24
2l+10=24
2l=14
l=7

The answer is (8x+36) inches

what is the ratio of 9:45, 19:38, 24:40, 14:28, 8:20, 15:20, 9:15, 19:180, 18:27, 36:60, 12:30, 32:54, 13:65, 15:30, 12:15, 12:20.

Answers

9 : 45 =  3 : 15 = 1 : 5
19 : 38 = 1 : 2
24 : 40 = 12 : 20 = 6 : 10 = 3 : 5
14 : 28 = 1 : 2
8 : 20 = 4 : 10 = 2 : 5
15 : 20 = 3 : 4
9 : 15 = 3 : 5
19 : 180 = 19 : 180
18 : 27 = 6 : 9 = 2 : 3
36 : 60 = 18 : 30 = 9 : 15 = 3 : 5
12 : 30 = 4 : 10 = 2 : 5
32 : 54 = 16 : 27
13 : 65 = 1 : 5
12 : 15 = 4 : 5
12 : 20 = 6 : 10 = 3 : 5

Find m2V.S
T
(9x – 19)°
U
111°
((7x + 3)
X
(5x + 8)
128°
W

Answers

Answer:

103

Step-by-step explanation:

6 sides

(6-2)180 =720

720 = S×T+U+V+W+X

S=90

720 = 90 + (9X-19) + (111) + (5X+8) + (128) + (7X+3)

COMBINE LIKE TERMS

720= (90-19+111+8+128+3) + (9X+5X+7X)

720 = 321 + 21X

720-321 = 321-321 + 21X

399 = 21X

19 = X

mV = 5X + 8

mV = 5(19) + 8

mV = 95 + 8

mV = 103

-10n + 3(8+8n)=-6(n-4)

Answers

First we have to multiply factor by every argument from the parenthesis.
-10n+3(8+8n)=-6(n-4)
-10n+3*8+3*8n=-6n+6*4
-10n+24+24n=-6n+24
24+14n=-6n+24        /-24
14n=-6n               /+6n
20n=0                 /:20
n=0 - its the answer
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