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Leto [7]
2 years ago
8

Point D is in the interior of ∠ABC. What is m∠DBC?

Mathematics
1 answer:
Rudiy272 years ago
3 0

37.5 degrees

we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.

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2 becuae......................................................................................................you have 5/10
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"A day care program has an average daily expense of $75.00. The standard deviation is $5.00. The owner takes a sample of 64 bill
kolbaska11 [484]

Answer:

p=1

Step-by-step explanation:

Given that a day care program has an average daily expense of $75.00. The standard deviation is $5.00.

Sample size = 64

Std error of sample = \frac{5}{\sqrt{64} } \\=0.625

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8 0
3 years ago
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A ski rental store rents a pair of skis for $44 a day and a snowboard for $58 a day. Yesterday, the store made $2,232 on ski and
Katen [24]

First, let the number of skis rented by x and the number of snowboards rented by y. We can then assemble the first equation from the amount of money made from the rentals.


44x + 58y = 2232


The second equation can come from the fact that 9 more skis were rented than snowboards.


y = x - 9


Therefore our system is:


44x + 58y = 2232

y = x - 9

3 0
3 years ago
DISCRETE MATHEMATIC
Jet001 [13]

Answer:

The conclusion "T" logically follows from the premises given and the argument is valid

Step-by-step explanation:

Let us use notations to represent the steps

P: I take a bus

Q: I take the subway

R: I will be late for my appointment

S: I take a taxi

T: I will be broke

The given statement in symbolic form can be written as,

(P V Q) → R

S → (¬R ∧ T)

(¬Q ∧ ¬P) → S

¬R

___________________

∴ T

PROOF:

1. (¬Q ∧ ¬P) → S                Premise

2. S → (¬R ∧ T)                  Premise

3. (¬Q ∧ ¬P) → (¬R ∧ T)    (1), (2), Chain Rule

4. ¬(P ∨ Q) → (¬R ∧ T)      (3), DeMorgan's law

5. (P ∨ Q) → R                   Premise

6. ¬R                                 Premise

7. ¬(P ∨ Q)                        (5), (6), Modus Tollen's rule

8. ¬R ∧ T                          (4), (7), Modus Ponen's rule

9. T                                   (8), Rule of Conjunction

Therefore the conclusion "T" logically follows from the given premises and the argument is valid.

6 0
3 years ago
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?
UkoKoshka [18]

The equation of the line parallel to given line and passing through (-3, 1) will be y – 1 = (3/2)(x + 3). Then the correct option is D.

<h3>What is the equation of line?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope of the parallel lines are equal.

m = (2 + 4) / (2 + 2)

m = 6/4

m = 3/2

Then the equation of the line will be

y = (3/2)x + c

The line is passing through (-3, 1). Then the value of c will be

1 = (3/2)(-3) + c

c = 9/2 + 1

Then the equation will be

     y = (3/2)x + 9/2 + 1

y – 1 = (3/2)(x + 3)

Then the correct option is D.

More about the equation of line link is given below.

brainly.com/question/21511618

#SPJ1

5 0
2 years ago
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