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Alex787 [66]
2 years ago
7

What is m∠HLK? thanks

Mathematics
1 answer:
Katen [24]2 years ago
3 0
The answer is 80°.

If there is a line segment in a triangle which cuts two sides in half or if there is a line segment between two midpoints of a triangle's sides, that line segment must be parallel to the remaining side.

In this case, point L is the midpoint of FH, and point K is the midpoint of HG. So, LK is parallel to FG.

When a line cuts two parallel lines, there are angle pairs which are equal. In the problem above, the line segment FH cuts KL and GF.

The angles KLH and GFH are what we called "Corresponding Angles" and they are equal.

So if HFG is 80°, HLK must be equal to 80°
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How many hundreds flats are equal to 400 tens rods
vitfil [10]
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A sociologist wishes to see if it is true that for a certain group of professional women, the average age at which they have the
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Answer:

Z = 2.1\ is\ higher\ than\ 1.96, we\ reject\ H_o

Step-by-step explanation:

The explanation of given question is described below:

Here, the test of hypothesis states that

H_o : Mean = 28.6

H_a : Mean\ which\ is\ not\ equals\ 28.6

The test statistic is

Z = \frac{(\bar X - Mean)}{\frac{Population\ standard\ deviation}{vn} }

Z = \frac{(30.06 - 28.6)}{\frac{4.18}{6} }

= 2.1

According to the given data α = 0.05,

So, the major value is

IZ(0.025)I = 1.96

(refer to the standard normal table) .

Finally

Z = 2.1\ is\ higher\ than\ 1.96, we\ reject\ H_o

3 0
2 years ago
norman purchased 3.5 lb of his favorite mixture of dried fruits to use in trail mix the total cost was $16.87 how much does the
Alex_Xolod [135]
To do this we will divide d amount of dollars by d amount of lbs.

Lets do it:-
 
16.87 ÷ 3.5 = 4.82
1 lb of trail mix is for $4.82
 
CHECK OUR WORK:-
 
4.82 × 3.5 = 16.87
We were RIGHT!!
 
So, 1 lb of trail mix costs $4.82.
 
Hope I helped ya!! xD
8 0
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