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Elis [28]
3 years ago
13

Can someone please explain this.

Mathematics
2 answers:
pantera1 [17]3 years ago
7 0

Answer:

  • XY ║ KL

Step-by-step explanation:

As per details in the diagram, the points K, L and J are midpoints of sides.

KL, KJ and KJ are midsegments.

According to definition of midsegment, XY and KL are parallel.

labwork [276]3 years ago
5 0

Answer:

segment KL

Step-by-step explanation:

There is a theorem in geometry that deals with problem's question.

<em>Theorem:</em>

<em>In a triangle, a segment whose endpoints are midpoints of two sides is parallel to and half the length of the third side.</em>

In this triangle, you are shown that each side is made up of two congruent segments. That makes points J, L, and K midpoints of the three sides of the triangle.

Look at midpoints L and K. They are midpoints of sides YZ and XZ. Join them with segment KL. That segment is parallel to the third side of the triangle, side XY, and half of its length.

Answer: segment KL

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Find the location of K
SCORPION-xisa [38]

Answer:

-2

Step-by-step explanation:

8 0
3 years ago
What is the value of the expression below when z = 2?<br> 5z^2+3z+7
Marina CMI [18]

Answer: 33

5(2)² + 3(2) + 7

20 + 6 + 7

33

Hope this helps!

6 0
3 years ago
Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?
____ [38]
<h3>Answer:  35 (choice C)</h3>

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

Explanation:

For any triangle, the three interior angles always add to 180.

D+E+F = 180

(7b+1) + (2b+1) + (b+8) = 180

(7b+2b+b) + (1+1+8) = 180

10b+10 = 180

10b = 180-10

10b = 170

b = 170/10

b = 17

Use this value of b to find the three angle measures

  • D = 7b+1 = 7*17+1 = 119+1 = 120
  • E = 2b+1 = 2*17+1 = 34+1 = 35 degrees
  • F = b+8 = 17+8 = 25

As a check,

D+E+F = 120+35+25 = 120+60 = 180

which helps confirm the correct answers.

3 0
3 years ago
4 coffees and 12 lattes. Costs $61
Gala2k [10]

Answer:

Cost of a coffee is <u>$2.5</u> and cost of a latte is <u>$4.25.</u>

Step-by-step explanation:

Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.

Given:

4 coffees and 12 lattes cost $61.

12 coffees and 7 lattes cost $59.75.

∵ 1 coffee cost = c

∴ 4 coffees cost = 4c and 12 coffee cost = 12c

∵ 1 latte cost = l

∴ 12 lattes cost = 12l and 7 lattes cost = 7l

Now, as per question:

4c+12l=61-----1\\12c+7l=59.75----2

Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,

-3(4c+12l)=-3(61)\\\\-12c-36l=-183\\12c+7l=59.75\\+\\----------\\0-29l=-123.25\\\\l=\frac{-123.25}{-29}=\$4.25

Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,

4c+12(4.25)=61\\\\4c+51=61\\\\4c=61-51\\\\4c=10\\\\c=\frac{10}{4}=\$2.5

Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.

4 0
3 years ago
Which scenario shows the best example of intrinsic motivation? O Zareem takes good notes in class to know the lesson better. O Y
dedylja [7]

Answer:

The first one. Zareem takes good notes in class to know the lesson better

5 0
3 years ago
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