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2 years ago

Find the measures of the requested angles.

Mathematics

1 answer:

Alex777 [14]2 years ago

3 0

Answer:

d. m<ABD = 50°, m<GBC = 47°, m<EBC = 50°, and m<DBG = 83°

Step-by-step explanation:

m<ABF = 47° (given)

m<FBE = 83°

✍️m<ABD + m<ABF + m<FBE = 180° (angles on straight line)

m<ABD + 47° + 83° = 180° (substitution)

m<ABD + 130° = 180°

Subtract 130 from each side

m<ABD = 180° - 130°

✅m<ABD = 50°

✍️m<GBC = m<ABF (vertical angles)

✅m<GBC = 47° (Substitution)

✍️m<EBC = m<ABD (Vertical angles)

✅m<EBC = 50° (substitution)

✍️m<DBG = m<FBE (vertical angles)

✅m<DBG = 83° (Substitution)

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2 years ago

What does (d+3) represent in 4.5(d+3)=45

Scrat [10]

Answer:

(d + 3) would be 10

Step-by-step explanation:

Step 1: Distribute

$4.5(d + 3) = 45$

$(4.5 * d) + (4.5 * 3) = 45$

$4.5d + 13.5 = 45$

Step 2: Subtract 13.5 from both sides

$4.5d + 13.5 - 13.5 = 45 - 13.5$

$4.5d = 31.5$

Step 3: Divide both sides by 4.5

$\frac{4.5d}{4.5} = \frac{31.5}{4.5}$

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Step 4: Determine what (d+3) is

$(d + 3)$

$(7 + 3)$

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Answer: (d + 3) would be 10

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2 years ago

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Arisa [49]

(2x^2 -5y)/(3x-y)
((2*2)^2-(5*-4))/((3*-4)-(-4))
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3 years ago

If x = y + z and x + y =6 and x = 10, then z = _____?

7nadin3 [17]

X+y=6
x=10

10+y=6
y=-4

10=-4+z
-4+z=10
z=10+4
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So the correct answer is 14

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3 years ago

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a box of crackers has a volume of 48 cubic inches. what is the volume of a similar box that is smaller by a scale factor of 2/3

earnstyle [38]

For this case what you need to know is that the original volume of the cookie box is:
V = (w) * (l) * (h)
Where,
w: width
l: long
h: height.
We have then:
V = (w) * (l) * (h) = 48 in ^ 3
The volume of a similar box is:
V = (w * (2/3)) * (l * (2/3)) * (h * (2/3))
We rewrite:
V = ((w) * (l) * (h)) * ((2/3) * (2/3) * (2/3))
V = (w) * (l) * (h) * ((2/3) ^ 3)
V = 48 * ((2/3) ^ 3)
V = 14.22222222 in ^ 3
Answer:
the volume of a similar box that is smaller by a scale factor of 2/3 is:
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