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maksim [4K]
3 years ago
15

Which choice is a correct congruence statement for the triangles?

Mathematics
1 answer:
denpristay [2]3 years ago
4 0
<h3>Answer: Choice 3)  Triangle ACB = Triangle CAD</h3>

The reason why is because the order is important when it comes to congruent statements. I'm referring to the order of the letters of ACB and CAD.

Each answer choice has "ACB" in that exact order shown on the left hand side of each congruent statement. We have "A" listed first, then "C" next. In short, segment AC is the first thing mentioned of ACB. This means that we need to list out segment AC as the first thing for the other triangle as well, in order to have a match. Segment AC is the same as segment CA, which is the first segment mentioned in triangle CAD. That's why choice 3 is the answer.

Note how something like triangle CDA won't work since segment CD is listed first, which doesn't pair up with segment AC. This allows us to rule out the first answer choice. Choices 2 and 4 can be eliminated for similar reasons.

Put another way: let's assume choice 1 was the answer. That would mean that AC = CD as they are the first pair of letters of ACB and CDA respectively. But the diagram shows that AC = CD is not true; otherwise, the segments would have similar tickmarks to show they are the same length. This is an alternative way to see why choices 1, 2, and 4 can be crossed off the list.

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HELP ME PLSSSSSSSSSSS
Bezzdna [24]

Answer:

Option H, 120 units

Step-by-step explanation:

Total rectangle area:

width x length

10 units x 24 units = 240 units

Area of 1 shaded traingle:

A = (height) x (width) / 2

A = (12 units) x (10 units) / 2

A = 120 units / 2

A = 60

Now mutiple A by 2 since we have two shaded regions

60 x 2 = 120

Subtract the entire rectangle area with the shaded area to get the unshdaed area

240 units - 120 units = 120 units

8 0
2 years ago
Find the solutions to x⁴-64=0 and the x-intercepts of the graph of y=x⁴-64.
Setler [38]

Answer:

1. x_1=2\sqrt{2}\\x_2=-2\sqrt{2}\\x_3=i2\sqrt{2}\\x_4=-i2\sqrt{2}

2. A=(2\sqrt{2},0) and B=(-2\sqrt{2},0)

Step-by-step explanation:

We have the expression x^4-64=0 to find the solutions we have to clear x. Then,

x^4-64=0 Add 64 in both sides of the equation.

x^4-64+64=64\\x^4=64

Now we have to re-write the equation:

u=x^2⇒u^2=(x^2)^2\\u^2=x^4

Then,

u^2=64

Apply square root on both members

\sqrt{u^2}=\sqrt{64}\\u=8 , u=-8

Now substitute back u=x^2

1. x^2=8

2. x^2=-8

Solving for x:

1. x=+\sqrt{8}=\sqrt{2^3}=\sqrt{2^2}.\sqrt{2}\\x=2\sqrt{2}\\or\\x=-\sqrt{8}\\x=-2\sqrt{2}

2. x=+\sqrt{-8}=\sqrt{(-1).8} =\sqrt{-1}\sqrt{8} \\x=i\sqrt{8}\\x=i.2\sqrt{2} \\or\\x=-\sqrt{-8}\\x=-i.2\sqrt{2}

Then the solutions for x^4-64=0 are:

x_1=2\sqrt{2}\\x_2=-2\sqrt{2}\\x_3=i2\sqrt{2}\\x_4=-i2\sqrt{2}

To find the x intercepts of the graph y=x^4-64 we have to replace with y=0.

This means: x^4-64=0

We already found the solutions for the expression, but we have to consider only the real solutions.

x_1=2\sqrt{2}\\x_2=-2\sqrt{2}

Because in a graph we can't have imaginary solutions.

Then the x intercepts of the graph are:

A=(2\sqrt{2},0) and B=(-2\sqrt{2},0)

The graph of the function is:

3 0
3 years ago
Convert 3/8 to a decimal and percent but pls explain how you guys get 375 pls ;-;
natali 33 [55]
You just divide 3 by 8. when 3 is inside the "house" and 8 is outside, 8 doesn't go into 3 so move on and 8 goes into 30 3 times. and so forth. 30-24=6 bring down the 0. 8 goes into 60 7 times. the decimal is 0.375. the percent is 37.5%.
7 0
3 years ago
Anyone know how to solve?
kipiarov [429]

Answer:52

Step-by-step explanation:

180-56-72=x so x is 52

3 0
3 years ago
Read 2 more answers
Find the slope of the line y = 5x + 4
Akimi4 [234]

Answer:

The slope is 5

Step-by-step explanation:

Slope is in place of the m hope this helps!

6 0
2 years ago
Read 2 more answers
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