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2 years ago

13

Beth's summer vacation lasted 81 days. At the beginning of her vacation, she spent some time at soccer camp, 2 days at her grand

mother's house, and 11 days visiting Glacier National Park with her parents. She then had 40 vacation days remaining.
How many weeks did Beth spend at soccer camp?

2 answers:

Tasya [4]2 years ago

7 0

Answer: 4 weeks

Step-by-step explanation: 2+11=13

13+40=53

81-53=28

28÷7=4

i hope this helped !

enyata [817]2 years ago

4 0

Answer:

the answer is 4

Step-by-step explanation:

81 minus 28 minus 2 minus 11 equal 40 28 divide 7 is 4

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If JKLM is a rhombus, MK = 30, NL = 13, and mZMKL = 41°, find each measure.

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Answer:

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Step-by-step explanation:

Given

$MK = 30$

$NL = 13$

$\angle MKL = 41$

Solving (a): NK

MK is a diagonal and NK is half of the diagonal. So:

$NK = \frac{1}{2} * MK$

$NK = \frac{1}{2} * 30$

$NK = 15$

Solving (b): JL

JL is a diagonal, and it is twice of NL.

$JL = 2 * NL$

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Solving (c): KL

To solve for KL, we consider triangle KNL where:

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Solving (d - h):

To do this, we consider triangle JKN

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Alternate interior angles are equal. So:

$\angle MKL = \angle KMJ = \angle KJL = \angle JLM = 41$

Similarly:

$\angle MKJ = \angle KML = \angle MJL = \angle JLK = 90 - 41$

$\angle MKJ = \angle KML = \angle MJL = \angle JLK = 49$

So:

$\angle JKM =49$

$\angle JML =41$

$\angle MLK = \angle MLJ + \angle JLK$

$\angle MLK = 49 + 41$

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$\angle KJL =41$

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2 years ago