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3 years ago

11

Determine whether the triangles must be congruent. If so, name the postulate or theorem that justifies your answer. If not, expl

ain. Is 16 and 18 Angle-Side-Angle or Angle-Angle-Side? Please help ASAP!

1 answer:

Alona [7]3 years ago

6 0

Problem 16)

We use ASA (angle side angle) to show the two triangles are congruent. Why ASA instead of AAS? Because the single pair of sides are between the two angles.

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Problem 18)

Similar to problem 16, we'll have two pairs of congruent angles, and a pair of congruent sides. However, the sides are NOT between the two angles. So that means we use AAS in this case.

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The table shows the maximum and minimum depths of two submarines. Find the range of depths for each submarine. Then determine wh

JulsSmile [24]

Answer:

Range A = 386ft

Range B = 427ft

B has the larger range.

Explanation:

To find the range, find the difference between the minimum and maximum depths for each submarine. Remember that your answer will be positive.

Sub A:

-146ft - (-532ft) = 386 ft

Sub B:

-194ft - (-621ft) = 427 ft

Submarine B has a larger range.

7 0

3 years ago

What is the formula for finding circumference given the radius?

Marianna [84]

Answer:

$C = 2\pi r\\$

Step-by-step explanation:

$Circumference = 2\times \pi \times r$

6 0

3 years ago

Antonio uses a calculator to find 38 minus StartFraction 44 minus 16 over 4 EndFraction and gets a result of –10. Which statemen

frozen [14]

Answer:

The second statement is Correct.

Step-by-step explanation:

Consider the provided information.

It is given that Antonio uses a calculator to find $38-\frac{44-16}{4}$ and gets a result of –10.

$38-\frac{44-16}{4}=38-\frac{28}{4}$

$=38-7$

$=31$

So, the first statement is incorrect.

2nd statement: Antonio found the answer for $38-44-\frac{16}{4}$

$38-44-\frac{16}{4}=-6-4$

$38-44-\frac{16}{4}=-10$

The second statement is Correct.

Third statement: Antonio found the answer for $\frac{38-44-16}{4}$

$\frac{38-44-16}{4}=-5.5$

So, the third statement is incorrect.

Fourth statement: Antonio found the answer for $38+\frac{44-16}{4}$

$38+\frac{44-16}{4}=38+7$

$38+\frac{44-16}{4}=45$

So, the fourth statement is incorrect.

Hence, the second statement is Correct.

5 0

3 years ago

Read 2 more answers

Make ”a” the subject of the formula 9a-8=2(a-b)

beks73 [17]

Answer:

Step-by-step explanation:

9a - 8 = 2a - 2b

7a - 8 = -2b

7a = 8 - 2b

a = (8 - 2b)/7

3 0

3 years ago

Factorise fully x^3-x

MA_775_DIABLO [31]

Answer:

$x(x+1)(x-1)$

Step-by-step explanation:

We see that the two terms share an x, so we can pull that out:

$x^3-x=x(x^2-1)$

Now notice that we have a difference of squares ( $x^2-1$ ). Given a difference of squares, $a^2-b^2$ , this can always be factored into $(a+b)(a-b)$ . We can use this in this case: $x^2-1=(x+1)(x-1)$ .

So, our final factorized form is: $x(x+1)(x-1)$ .

Hope this helps!

3 0

3 years ago