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2 years ago

Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?

Mathematics

2 answers:

kodGreya [7K]2 years ago

8 0

Answer:

B: AC = 4DB

Step-by-step explanation:

Since B is the midpoint of AC, this means that AB≅BC.

Since D is the midpoint of AB, then AD≅DB.

This means that AD is 1/4 of the length of AC, since it is 1/2 of 1/2 of the length (1/2*1/2 = 1/4). DB is the same length, since it is congruent to AD.

This means that AC = 4DB.

anastassius [24]2 years ago

3 0

AC=4DB IS THE CORRECT ANSWER

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Roslyn has $25.65 in the bank. She purchased a new shirt for $10.83 and shoes for $8.96. Then she babysat and made $20.35, which

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Answer:

$26.21

Step-by-step explanation:

add the shoes and shirt together and get $19.59 then subtract that to the $25.65

then you will get the remaining amount of money of $5.86.

then do this 20.35-5.86=$26.21

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1 year ago

Seattle, WA and San Francisco, CA lie on the same longitudinal line. San Francisco is at 38° latitude and Seattle is at 47° lati

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Step 1.

Calculate measure of angle α:

$47^o-38^o=9^o$

Step 2.

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$\dfrac{9^o}{360^o}=\dfrac{1}{40}$

Step 3.

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$C=2\pi r\to C=2\pi\cdot4000=8000\pi\ mi$

Step 4.

The length of arc is equal 1/40 of the circumference:

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3 years ago

Colleen bought a cup of coffee that had 32 ounces in it. She drank 8 ounces of the coffee. What percent of the coffee is left?

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2 years ago

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A number of squares are connected in a row to form a rectangle. The table shows the relationship between the number of squares,

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Answer:

✅The table can be represented by the equation, $y = 4x + 4$

✅The relation is a function.

✅The graph of the function is linear.

Step-by-step explanation:

✍️The first statement: The table can be represented by the equation, $y = 4x + 4$ .

To check if the first statement is correct let's find the equation that can represent the table by finding the slope (m) and y-intercept (b).

Using two pairs, (1, 8) and (2, 12),

Slope = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{2 - 1} = \frac{4}{1} = 4$ .

Substitute, x = 1, y = 8, and m = 4 into y = mx + b to solve for b.

Thus:

8 = (4)(1) + b

8 = 4 + b

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8 - 4 = b

4 = b

Plug in the values of b and m into y = mx + b.

Thus, the equation that represents the table would be:

$y = 4x + 4$ .

✅Therefore, the first statement is correct.

✍️The second statement: The graph of the function is non-linear.

This is NOT TRUE because the equation of the function, $y = 4x + 4$ , represents the equation of a linear graph in the slope-intercept form. When graphed, it will give us a straight line.

✍️The Third statement: The relation is a function.

This is TRUE because each input value (x-value) has exactly one output value (y-value).

✍️The Fourth statement: The rate of change is NOT constant.

This standby is NOT TRUE.

The rate of change is the slope (m) that we have calculated above to be 4. Between any two pairs, the rate of change remains 4.

Therefore, this statement is not correct.

✍️The Fifth statement: The graph of the function is linear.

This is TRUE. As stated earlier, from the equation generated, it is safe to say that the equation represents graph of a linear function. The graph will be a straight line graph.

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