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PolarNik [594]
3 years ago
12

Who can help mee tutorss wont workkkk

Mathematics
1 answer:
klasskru [66]3 years ago
3 0

Answers:

  • Similar = Yes, they are similar
  • How:  AA similarity
  • Similarity statement:  triangle HGF ~ triangle HMN

The ~ mark means "similar"

=====================================================

The red angle markings tell us which angles are congruent to one another. We have these two pairs of congruent angles

  • angle H = angle H (both triangles unfortunately reuse H) by the single arc marking
  • angle G = angle M, by the double arc markings

Because we have two pairs of congruent angles, we use the AA similarity theorem. AA stands for angle angle. We could use three pairs, but two pairs is the minimum needed for similarity statements.

-----------

To figure out what goes in the third answer box, note how the order HGF is given to us. The order is important.

We have H first, G second, F third.

H being first, and it having a single arc, means that whatever has a single arc on the other triangle must be first. That would be H. Unfortunately they reuse angle H which makes things confusing a bit.

G is second in HGF, and G has the double arc marking. Note how M also has this double arc marking. Therefore we have M second in the answer. So far we have HM as part of the third answer.

The only thing left is N. Therefore, we have triangle HMN as the answer for the third box.

Put another way, we have these pairings:

  1. H (single arc mark) = H (single arc mark)
  2. G (double arc mark) = M (double arc mark)
  3. F (no marking) = N (no marking)

This is why the order is important. So we can see how the angles pair up in the order that they do.

This is why triangle HGF is similar to triangle HMN.

We can write that as triangle HGF ~ triangle HMN

The ~ mark means "similar"

We don't have enough information to prove that the triangles are congruent or not. So we cannot say \triangle HGF \cong \triangle HMN. Your teacher made a typo when using the congruence symbol \cong

Instead, it should be \triangle HGF \sim \triangle HMN

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Simplify the expression below (example x2 = x^2<br> (2a^2)(14a^5)
lutik1710 [3]

Answer:

28a^7

Step-by-step explanation:

Rewrite using commutative property of multiplication 2•14 (a^2a^5)

Multiply the a^2 and a^5

2•14a^7

Multiply the 2 and 14

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8 0
3 years ago
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Mariana [72]
This is the question:

A bicycle manufacturing company makes a particular type of bike.

Each child bike requires 4 hours to build and 4 hours to test.

Each adult bike requires 6 hours to build and 4 hours to test.

With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week.

If c represents child bikes and a represents adult bikes,

determine which system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week

 

Now you can state the system of inequalities from the statements

1) First inequality based on the hours availble to buiding


Each child bike requires 4 hours, e<span>ach adult bike requires 6 hours to build and </span>the company is able to have up to 120 hours of building =>


4c + 6a ≤ 120


2) Second inequality based of the hours available to testing.


Each child bike requires 4 hours to test, each adult bike 4 hours to test and the company is able to have up 100 hours of testing time for a week =>


4c + 4a ≤ 100

Then the two inequalities are:

4c + 6a ≤ 120
4c + 4a ≤ 100

<span>The answer is Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Which you can verify by replacing in both equations 10 for c and 12 for a. Look:

1) 4(10) + 6(12) = 40 + 72 = 112 ≤ 120

2) 4(10) + 4(12) = 40 + 48 = 88 ≤ 100




</span>



6 0
3 years ago
Read 2 more answers
NEED HELP ASAP
Viefleur [7K]

Answer:

2625 cubic meters

Step-by-step explanation:

the volume of a rectangle is V = length x width x height (depth in this case)

so, 50m x 30m x 1.75m = 2625m^3

7 0
2 years ago
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Find the area of the circle to the nearest whole number, if necessary!
astra-53 [7]

Answer:

The circle has an area of about 1385 square mm.

Step-by-step explanation:

Let's recall that circles have an area that can be found with the following formula:

A=\pi r^{2}

where r is the radius of the circle.

Now, focus your eyes on the circle. We are shown that the diameter of this circle is 42 mm, but we only want the radius. Since the radius is half the diameter, the radius is 21 mm. Now, we can solve for the area of the circle.

A=\pi (21)^2\\A=441\pi \\A=1385.44236...

So, to the nearest whole number, the area of the circle is 1385 square mm.

5 0
2 years ago
An employee’s wages are directly proportional to the time worked.If an employee earns $105 for 7 hours how much will the employe
stich3 [128]

Answer:

600

Step-by-step explanation:

105/7 * x/40

7x=4,200

x=600

8 0
2 years ago
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