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1 year ago

Fill in the blanks to complete the proof

Mathematics

1 answer:

-BARSIC- [3]1 year ago

5 0

The blanks in this two-column proof should be filled as follows:

<u>Statements Reasons</u>_______________

m∠1 = m∠3 Given

m∠CBA = m∠ABE + m∠CBD Angle Addition Postulate

m∠ABE = m∠3 + m∠2 Substitution Property of Equality

m∠CBD = m∠3 + m∠2 Substitution Property of Equality

m∠ABE ≅ m∠CBD Transitive Property of Equality

<h3>What is the Angle Addition Postulate?</h3>

In Mathematics, the Angle Addition Postulate states that the measure of an angle formed by two (2) angles that are placed side by side to each other is equal to the sum of the measures of the two (2) angles.

This ultimately implies that, the Angle Addition Postulate can be used to determine the measurement of a missing angle in a geometric figure or it can be used for calculating an angle that is formed by two (2) or more angles such as m∠CBA = m∠ABE + m∠CBD.

Read more on Angle Addition Postulate here: brainly.com/question/24746945

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Answer:

The domain is the set of all possible x-values

Domain is the time here

The range is the resulting y-values

The range is the outside temperature is here

Function is decreasing between x= 0 to 3

It means the temperature is decreasing between midnight and 3 AM

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3 years ago

Trina buys a pizza in the shape of a circle with a diameter of 14 in what is the area of the pizza

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Answer:

153.94

Step-by-step explanation:

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i hope this helps !!

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3 years ago

Scientists modeled the intensity of the sun, I, as a function of the number of hours since 6:00 a.m., h, using the

MAVERICK [17]

The functions are illustrations of composite functions.

<em>The soil temperature at 2:00pm is 67</em>

The given parameters are:

$\mathbf{I(h) =\frac{12h - h^2}{36}}$ ---- the function for sun intensity

$\mathbf{T(I) =\sqrt{5000I}}$ -- the function for temperature

At 2:00pm, the value of h (number of hours) is:

$\mathbf{h = 2:00pm - 6:00am}$

$\mathbf{h = 8}$

Substitute 8 for h in $\mathbf{I(h) =\frac{12h - h^2}{36}}$ , to calculate the sun intensity

$\mathbf{I(8) =\frac{12 \times 8 - 8^2}{36}}$

$\mathbf{I(8) =\frac{32}{36}}$

$\mathbf{I(8) =\frac{8}{9}}$

Substitute 8/9 for I in $\mathbf{T(I) =\sqrt{5000I}}$ , to calculate the temperature of the soil

$\mathbf{T(8/9) =\sqrt{5000 \times 8/9}}$

$\mathbf{T(8/9) =\sqrt{4444.44}}$

$\mathbf{T(8/9) =66.67}$

Approximate

$\mathbf{T(8/9) =67}$

Hence, the soil temperature at 2:00pm is 67

Read more about composite functions at:

brainly.com/question/20379727

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2 years ago

Please help me with this question

iris [78.8K]

$A= \pi r^2 \ \ \ and \ \ \ C=2 \pi r \ \ \ \ \to \\ \\ \cfrac{\pi r^2 }{2 \pi r}= \cfrac{22}{1} \ \ \ \ \to \ \ \ \ \ \cfrac{ r }{ 2}= \cfrac{22}{1} \ \ \ \ \to \ \ \ \ \ r=22*2=44 \ cm \\ \\ \\ C=2 \pi r=2*3.14*44=276.32 \ cm$

Answer is 276.32 cm

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3 years ago

Which of the sets of equations represent the two lines graphed?

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Answer:

B) y = x + 2 and y = -x - 4

Step-by-step explanation:

Let the equation of a straight line with x-intercept 'a' and y-intercept 'b' be

$\frac{x}{a} + \frac{y}{b} = 1$