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3 years ago

I need help please help me

Mathematics

1 answer:

IrinaVladis [17]3 years ago

5 0

Answer:

the first one

Step-by-step explanation:

To solve this problem you use the Triangle Angle Sum Theorem concept. Which means all 3 angles of a triangle add up to 180° degrees.

The formula for this concept is:

a+b+c=180°

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Quadrilateral DUCKDUCKD, U, C, K is inscribed in circle OOO. What is the measure of \angle K∠Kangle, K?

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Answer:

Measure of ∠K=180-∠U

Measure of ∠K=1/2m(arc DUC)

Step-by-step explanation:

Given:

DUCK quadrilateral inscribed in circle with center O

To Find:

Measure angle K

Solution:

Here the Quadrilateral in inscribed in a circle with center O named as DUCK

So angle K and U are opposite to each other

We know that the angle of Quadrilateral inscribed in a circle are supplemenatry angles

Hence

∠U+∠K=180

Or The ∠K=1/2*m∠arc(DUC).

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2 years ago

Lily bought 20.24 pounds of grapefruit. The lightest grapefruit weighed 1.2 pounds. The heaviest grapefruit weighed 1.8 pounds.

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Given:

Lily bought 20.24 pounds of grapefruit.
The lightest grapefruit weighed 1.2 pounds.
The heaviest grapefruit weighed 1.8 pounds.

To Find:

An estimate of the number of grapefruits she bought.

Answer:

The best estimate is that Lily bought 13 grapefruits.

Step-by-step explanation:

Given that the lightest grapefruit weighed 1.2 pounds and the heaviest one weighed 1.8 pounds, we can take the mean or average of these two weights to estimate the weight of any of the grapefruits that she bought.

That is, we can say that each grapefruit must weigh something close to the average value.

The average can be found as

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Thus, the average grapefruit from the bundle she bought must weigh around 1.5 pounds.

Now, given that the total weight of the grapefruit she bought is 20.24 pounds.

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In other words,

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