In the diagram above, Z1 = 40°.
Find the measure of Z2.
Z2 = [?]°

The given statements to be completed are completed as follows;

A) △MNK ≅ △RTP

B) TR ≅ NM

C) x = 7

We are given that;

△NMK ≅ △TRP

This means that Triangle NMK is congruent to Triangle TRP.

A) The naming of △NMK is now △MNK. Thus, we have to now re-name Triangle TRP to match the naming of △MNK. Thus;

△MNK ≅ △RTP

B) From the 2 given triangles, we can see that TR and NM are the same length and also perpendicular lines.

Thus they are congruent to each other and as such;

TR ≅ NM

C) Since TR and NM are congruent to each other. Then;

TR = NM

Thus;

3x - 1 = 20

3x = 20 + 1

3x = 21

x = 21/3

x = 7

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Answer:

A-△MNK ≅ △RTP

B- TR≅NM

C- X=7

Step-by-step explanation:

I did the assignment loves.

Answer:

Step-by-step explanation:

Coordinates of points A and C are (-8, 6) and (2, 5).

If a point B intersects the segment AB in the ratio of 2 : 5

Then coordinates of the point B will be,

x =

and y =

where and are the coordinates of the extreme end of the segment and a point divides the segment in the ratio of m : n.

For the coordinates of point B,

x =

  =

y =

  =

Therefore, coordinates of pint B will be,

Final answer:

The coordinates of B on segment AC such that AB=2/5AC are given by line segment division theorem as ((2x2 + 5x1) / 7 , (2y2 + 5y1)/ 7), where A is (x1, y1) and C is (x2, y2).

Explanation:

The question is asking for the coordinates of point B on line segment AC such that the length of AB is 2/5 times the length of AC.

Since we don't have any specific coordinates for points A, B and C, we can't determine exact coordinates for point B. However, we can describe how to find B based on given points A and C.

If A and C have coordinates (x1, y1) and (x2, y2), respectively, then the coordinates of B can be found using the theorem of line segment division. This theorem says that the coordinates of the point dividing a line segment in the ratio m:n are given by:

((mx2 + nx1) / (m+n) , (my2 + ny1)/ (m+n))

Given the ratio is 2:5, m is 2 and n is 5, substitute the values into the formula:

((2x2 + 5x1) / (2+5) , (2y2 + 5y1)/ (2+5))

So, point B is at ((2x2 + 5x1) / 7 , (2y2 + 5y1)/ 7).

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Answer:

b.

Step-by-step explanation:

Answer:

  no more than 7 hours

Step-by-step explanation:

You want p(h) ≥ 3, so ...

  p(h) ≥ 3

  -2/7h +5 ≥ 3

  2 ≥ 2/7h . . . . . . add 2/7h -3

  7 ≥ h . . . . . . . . . multiply by 7/2

The worker's shift should be 7 hours or less.

Final answer:

The equation is solved by equating it to 3 and solving for h (hours). It results in a maximum work shift of 7 hours to maintain an average productivity of at least 3 pairs of shoes per hour.

Explanation:

The question deals with a linear function that models the productivity rate of workers in a shoe factory. The function is p(h) = -2/7h + 5 which presents the productivity (p) in pairs of shoes per hour, depending on the hours worked (h). If the company requires a minimum productivity of 3 pairs of shoes per hour to stay profitable, we want to find the maximum value of h such that p(h) is equal to or greater than 3.

To solve, equate the function to 3, that is: 3 = -2/7h + 5. By simplifying, you obtain: -2/7h = 3 - 5 = -2. Then, divide both sides by -2/7, we get h = -2 / (-2/7) = 7 hours.

Therefore, for the company to stay profitable, the worker's shift should not exceed 7 hours.

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Answer:

b.

Step-by-step explanation:

You would use this law under two conditions:

• One angle and two edges defined, while trying to solve for the third edge
• ALL three edges defined

Hence, you have your answer.

* Just make sure to use the inversefunction towards the end, or elce you will throw your answer off!

_______________________________________________

Now, you would use the Law of Sines under three conditions:

• Two angles and one edge defined, while trying to solve for the second edge
• One angle and two edges defined, while trying to solve for the secondangle
• ALL three angles defined [of which does not occur very often, but it all refers back to the first bullet]

* I HIGHLY suggest you keep note of all of this significant information. You will need it going into the future.

I am delighted to assist you at any time.

Answer:

Conditions for SINE RULE:

1. If two angles and any side is given.
2. If two sides and an angle opposite one of the side is given.

Conditions for COSINE RULE:

1. If two sides and an inclined angle is given.
2. If all the three sides are give.

Step-by-step explanation:

Side is the number in m/cm.

Angle is the number with degree/in degree. Like this: ° ° °

With all these, it means you should COSINE rule.

Answer:

your answer is fifteen