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posledela
3 years ago
5

If the quadrilateral below is a kite, find m

Mathematics
2 answers:
Debora [2.8K]3 years ago
6 0

Answer:

49°

Step-by-step explanation:

7.5x-15+90=180

7.5x+75 =180

7.5x=105

x =14

so NPQ = ( 4×14 -7 ) = 49° this the answer

USPshnik [31]3 years ago
5 0
The answer is 60 degrees to your question
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A pharmacist has 30% and 60% iodine solutions on hand. How many liters of each iodine solution will be required to produce 6 lit
kkurt [141]

Answer:

4 liters of 60% solution; 2 liters of 30% solution

Step-by-step explanation:

I like to use a simple, but effective, tool for most mixture problems. It is a kind of "X" diagram as in the attachment.

The ratios of solution concentrations are 3:6:5, so I've used those numbers in the diagram. The constituent solutions are on the left; the desired mixture is in the middle, and the numbers on the other legs of the X are the differences along the diagonals: 6 - 5 = 1; 5 - 3 = 2. This tells you the ratio of 60% solution to 30% solution is 2 : 1.

These ratio units (2, 1) add to 3. We want 6 liters of mixture, so we need to multiply these ratio units by 2 liters to get the amounts of constituents needed. The result is 4 liters of 60% solution and 2 liters of 30% solution.

_____

If you're writing equations, it often works well to let the variable represent the quantity of the greatest contributor—the 60% solution. Let the volume of that (in liters) be represented by v. Then the total volume of iodine in the mixture is ...

... 0.60·v + 0.30·(6 -v) = 0.50·6

... 0.30v = 0.20·6 . . . . subtract 0.30·6, collect terms

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4 liters of 60% solution are needed. The other 2 liters are 30% solution.

6 0
3 years ago
Write an inequality that expresses the reason the lengths 5 feet, 10 feet, and 20 feet could not be used to make a triangle. Exp
Anit [1.1K]
The 2 smallest lengths in a triangle have to add up to be greater that the longest side of the triangle. In this case, the longest side is 20. The 2 smallest sides are 5 and 10. 5+10=15, but 15<20. This is why these 3 lengths can’t create a triangle.
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3 years ago
F(x)=4x-8 and g(x)=5x+6, find (f+g)(x)
ASHA 777 [7]

Answer:

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Step-by-step explanation:

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3 years ago
The diameter of a semicircle is 8 miles. What is the semicircle's perimeter? Use 3.14 for ​.
wlad13 [49]

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41.13 cm

Step-by-step explanation:

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7 0
3 years ago
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a bowl of grapes has a total massif 265 grams. the bowl has a mass of 121 grams. what is the mass of the grapes
sveticcg [70]

Answer:

144 grams

Step-by-step explanation:

the total mass of the bowl of grapes includes the bowl. to get the mass of the grapes, we need to subtract the mass of the bowl. 265 grams - 121 grams is 144 grams.

7 0
2 years ago
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