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3 years ago

Complete the statements about the shapes in the graph.

Mathematics

1 answer:

TEA [102]3 years ago

4 0

Shape A is congruent to shape D because a 180° rotation about the origin and then a translation 2 units right maps shape A onto it.

Shape B is congruent to shape E because a 90° clockwise rotation about the origin and then a translation 1 unit left maps shape B onto it.

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Find the length of the unknown side. Round your answer to the nearest tenth.

Paraphin [41]

Answer:

The correct option is: 11.5

Step-by-step explanation:

Suppose, the length of the unknown side is $x$

So, here the length of hypotenuse is 14 and the lengths of other two sides are 8 and $x$ .

As the given triangle is right angle triangle, so using Pythagorean theorem, we will get.........

$8^2+x^2= 14^2\\ \\ 64+x^2=196\\ \\ x^2=196-64=132\\ \\ x=\sqrt{132}=11.489...\approx 11.5$

(Rounded to the nearest tenth)

So, the length of the unknown side is 11.5

6 0

3 years ago

Read 2 more answers

A metal worker has several 1-kilogram bars of a metal alloy that contain 23% copper and several 1-kilogram bars that contain 79%

astraxan [27]

Answer:

30 each of 23% bars and 18 each of 79% bars

Step-by-step explanation:

If x is the number of 1 kg 23% copper bars, and y is the number of 1 kg 79% copper bars, then:

x + y = 48

0.23x + 0.79y = 0.44(48)

Substituting and solving:

0.23x + 0.79(48-x) = 0.44(48)

0.23x + 37.92 - 0.79x = 21.12

16.8 = 0.56x

x = 30

y = 48 - x

y = 18

You need 30 each of 23% bars and 18 each of 79% bars.

4 0

3 years ago

-4x - 10x Combine Like Terms

kondaur [170]

Answer:

-14x

Step-by-step explanation:

-4x+-10x =-14x

5 0

3 years ago

Read 2 more answers

-(9-15)+(-8+2)-(24-30)=

AleksAgata [21]

The answer is -6
(9-15)=-6
(-8+2)=-6
(24-30)=-6
-(-6)+(-6)-(-6)= -6

3 0

2 years ago

What is the solution set? A.) (0, -2) B.) (2, 0) C.) (7, 0) D.) (5, 3)

max2010maxim [7]

Answer:

D.) (5, 3)

Step-by-step explanation:

Solution is where two lines intersect

Both lines intersect at x = 5 and y = 3

Answer

D.) (5, 3)

8 0

2 years ago