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3 years ago

If m∠BAC = 98°, what is m∠BDC?

Mathematics

2 answers:

Leviafan [203]3 years ago

5 0

I believe it's also 98 degrees, because the are symmetrical.

Rashid [163]3 years ago

5 0

M<bBDC=98° because if you reflect <BDC across line BEC, <BDC=<BAC

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Factor completely 3x^2 - x - 4

kakasveta [241]

Answer:

B. $(3x-4)(x+1)$

Step-by-step explanation:

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2 years ago

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3 years ago

Hannah walks 2 miles each day to work then she walks two miles home how many yards does she walk to and from work each day

Damm [24]

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3 years ago

Please answer this with explanation. Please I really am struggling. I will mark you brainalist. Please solve it Please

Hatshy [7]

Answer:

13, 11, 4, 16, 6, 22

Step-by-step explanation:

Let the second digit be x and the last digit be y

Given:

Data set: 13, x, 4, 16, 6, y
Mean = 12
y = 2x or x = 2y

The mean of the data is the average. The average can be calculated by determining the sum of the terms and dividing it by the total digits.

$\implies \text{Mean of data:} \ \dfrac{13 + x + 4 + 16 + 6 + y}{6} = 12$

Let us substitute the value of y (2x) in the data.

$\implies \dfrac{13 + x + 4 + 16 + 6 + 2x}{6} = 12$

Now, add all the terms in the data and simplify.

$\implies \dfrac{39 + x +2x}{6} = 12$

$\implies \dfrac{39 + 3x}{6} = 12$

Distribute the denominators and simplify.

$\implies \dfrac{39}{6} + \dfrac{3x}{6} = 12$

$\implies \dfrac{13}{2} + \dfrac{x}{2} = 12$

$\implies 6.5 + \dfrac{x}{2} = 12$

Subtract 6.5 both sides and simplify.

$\implies 6.5 + \dfrac{x}{2} - 6.5 = 12 - 6.5$

$\implies \dfrac{x}{2} = 5.5$

Use cross multiplication and simplify.

$\implies x= 5.5 \times 2$

$\implies x= 11$

To determine the value of "y", simply substitute the value of "x" into the expression that represents the value of "y".

$\implies y = 2x$

$\implies y = 2(11)$

$\implies y = 22$

When the x and y values are substituted in the data, we get;

⇒ 13, 11, 4, 16, 6, 22

Therefore, the data is 13, 11, 4, 16, 6, 22.

8 0

1 year ago

Caroline has a movie card worth $75 that her grandfather gave to her for her birthday. After seeing her first movie, the card’s

faust18 [17]

Answer:

f(m) = 75-8m

Step-by-step explanation:

She began with $75. After the first movie, she had $67 remaining; this means she spent

75-67 = $8

After the second movie, she had $59 remaining; she spent

67-59 = $8

After the third movie, she had $51 remaining; she spent

59-51 = $8

Each movie costs $8. Letting m represent the number of movies, this gives us 8m.

Since she is spending money, we subtract this from the original amount, $75; this gives us

f(m) = 75-8m

3 0

2 years ago