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3 years ago

An angle is bisected by a segment forming two new angles. ∠ 1 and ∠ 2. Find m ∠DBC if m ∠2 = 27.

Mathematics

2 answers:

Ira Lisetskai [31]3 years ago

5 0

Answer:

Yes, it will still be 27? So, like 27 + 27 = DBC.

laiz [17]3 years ago

4 0

Answer:

Step-by-step explanation:

Bisecting means to divide in half

<1 = <2

If <2 = 27 , then <1 = 27

The sum of the angle = 27+27 = 54

If DBC is the original angle, then DBC = 54

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Please assist me with these story problems.

Anna71 [15]

Answer:

4. 16

5. $88

6. $687.50

Step-by-step explanation:

4. Let n represent the number.

An expression representing the number multiplied by 0.9 and 6.3 subtracted from the product is ...

0.9n -6.3

We want that result to be 4.5, so we have the equation ...

0.9n -6.3 = 4.5

Since all of the coefficients are divisible by 0.9, we can divide by 0.9 to get ...

n -7 = 9

Adding 7 gives ...

n = 16

The number is 16.

_____

5. For a problem like this, I like to work it backward. If Craig got an extra $18, then everyone's share was $32 -18 = $14. That was the share from a 5-way split, so the amount the friends split evenly was 5×$14 = $70. The total they started with must have been $70 +18 = $88.

The amount they split unevenly was $88. The amount they split evenly, after setting aside $18 for Craig's parents, was $70.

It is a bit tricky to write one equation for the amount the friends started with before they did any splits. Call that amount A. Then after setting aside $18, they split (A-18) five ways. Each of those splits was then (A-18)/5. When the $18 was added to one of those, the result was the $32 that Craig got. So, we have ...

(A -18)/5 +18 = 32

and the solution process is similar to the "working backward" description above: subtract 18, multiply by 5, add back 18.

(A -18)/5 = 14

A -18 = 70

A = 88 . . . . . . . . the amount the friends split unevenly

_____

6. Let P represent the original price of the laptop. We're told the price after all of the discounts was 500, so we have ...

P -50 -(0.20P) = 500

0.80P = 550 . . . . . add 50, collect terms

P = 687.50 . . . . . . . divide by the coefficient of P

The original price was $687.50.

4 0

3 years ago

HELP ASAP!! I need this answer quickly it’s due in 15 minutes! TY!!

Margarita [4]

Answer:

mean for data set 1 is 41

data set 1 MAD is 16.4

data set 2 MAD is 16.8

mean for data set 2 is 38

Step-by-step explanation:

Finding the mean:

formula: sum of the data set / total number of terms

sum of the data set: 18 + 29 + 35 + 58 + 65 = 205

total number of terms: there is 5 numbers in the data set

mean = 205 / 5

mean = 41

MAD (Mean Absolute Value):

step 1: Find the mean of the data (above)

step 2: Find the distance between each data and mean.

18, 29, 35, 58, 65

Distance between 18 and 41 is 23 (41 - 18 = 23)

Distance between 29 and 41 is 12 (41 - 29 = 12)

Distance between 35 and 41 is 6 (41 - 35 = 6)

Distance between 58 and 41 is -17 (41 - 58 = -17)

Distance between 65 and 41 is -24 (41 - 65 = -24)

step 3: take the absolute value of any negative numbers

|-17| and |-24| is 17 and 24

step 4: add all the distances

23 + 12 + 6 + 17 + 24 = 82

step 5: divided it by the number of data

82 / 5 = 16.4

formula: sum of the data set / total number of terms

sum of the data set: 19 + 26 + 27 + 45 + 73 = 190

total number of terms: there is 5 numbers in the data set

mean = 190 / 5

mean = 38

MAD (Mean Absolute Value):

step 1: Find the mean of the data (above)

step 2: Find the distance between each data and mean.

19, 26, 27, 45, 73

Distance between 19 and 38 is 19 (38 - 19 = 19)

Distance between 26 and 38 is 12 (38 - 26 = 12)

Distance between 27 and 38 is 11 (38 - 27 = 11)

Distance between 45 and 38 is -7 (38 - 45 = -7)

Distance between 73 and 38 is -35 (38 - 73 = -35)

step 3: take the absolute value of any negative numbers

|-7| and |-35| is 7 and 35

step 4: add all the distances

19 + 11 + 12 + 7 + 35 = 84

step 5: divided it by the number of data

84 / 5 = 16.8

Let me know if you have any questions !

3 0

2 years ago

Add 5/6 + 2 3/4 in the simplest form.

kogti [31]

Answer:

3 7/12

Step-by-step explanation:

3 0

4 years ago

The track pine middle school is 1/3 of a mile for each lap. mathew walked around the track and completed 9 laps in one hour. how

Nina [5.8K]

He walked 3 miles in an hour. He would have to also walk 9 laps in 45 minutes to walk the same amount. Not sure what your question is?

7 0

4 years ago

On a map, Mary's house is located at (−3, 1) and the grocery store is located at (5, 7). Mary walks on a straight line from her

FrozenT [24]

The ordered pair that represents the halfway point between Mary's home and the grocery store is (1, 4)

The midpoint (a, b) between two linear points $(x_1, y_1)$ and $(x_2, y_2)$ is calculated as:

$a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}$

On a map, Mary's house is located at (−3, 1) and the grocery store is located at (5, 7).

$x_1=-3, y_1=1, x_2=5, y_2=7$

Substitute these values into the mid-point formulae

$a=\frac{-3+5}{2} \\\\a=\frac{2}{2}\\\\a=1$

$b=\frac{1+7}{2} \\\\b=\frac{8}{2}\\\\b=4$

The ordered pair that represents the halfway point between Mary's home and the grocery store is (1, 4)

Learn more on the midpoint of a line here: brainly.com/question/18315903

5 0

3 years ago