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Andreyy89
2 years ago
12

What is the answer to this?-

Mathematics
1 answer:
Bond [772]2 years ago
6 0

Answer:

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. ... and another pair of corresponding sides are equal in two right triangles

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A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G. What are the coordinates
I am Lyosha [343]

Given:

A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.

To find:

The coordinates of point G.

Solution:

Section formula: If a point divide a line segment with end points (x_1,y_1) and (x_2,y_2) in m:n, then the coordinates of that point are

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Point G divide the line segment FH in 8:2. Using section formula, we get

G=\left(\dfrac{8(8)+2(-8)}{8+2},\dfrac{8(6)+2(-2)}{8+2}\right)

G=\left(\dfrac{64-16}{10},\dfrac{48-4}{10}\right)

G=\left(\dfrac{48}{10},\dfrac{44}{10}\right)

G=\left(4.8,4.4\right)

Therefore, the coordinates of point G are (4.8, 4.4).

4 0
3 years ago
The length of each edge of a cube is decreased by 40 percent By what percent does the volume of the cube decrease? Express your
lora16 [44]

Answer:

78% (to the nearest tenth)

Step-by-step explanation:

Volume of a cube = (length )³

Let the length of the cube = y

Original volume = y³

if the length is decreased by 40%, then new length = 1- (40% of y)

                                                                                     = 1-0.4y

                                                                                     =  0.6%

New volume (after decreasing the length) = (0.6y)³

                                                                      =  0.216‬‬y³

% Volume decrease = (Original volume - New volume)/Original Volume x 100%

                                 =  (y³ - 0.216‬‬y³)/ y³  x 100%

                                 = 0.784y³/y³  x 100%

                                 =78.4%

                                ≈78%

5 0
3 years ago
Read 2 more answers
Which equation shows that 6 is a factor of 18?
crimeas [40]
Since factors need to show that a number can be divided by another and 6*3=18, C is the answer.
7 0
3 years ago
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A cliff Diver jumps from 50 feet into a lake. After hitting the water he travelled 22 feet below the surface. How far did he tra
Zanzabum

Add both distances together:

50 + 22 = 72 feet total distance.

4 0
3 years ago
Solve the equation the square root of the quantity x minus 6 plus 2 equals 6 for the variable.
Andrej [43]
X-6+2=6
X=2
2-6=4
4+2=6
7 0
3 years ago
Read 2 more answers
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