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3 years ago

Find m∠7 if m∠8 = 119° m∠7 = ???

Mathematics

1 answer:

natka813 [3]3 years ago

8 0

Answer:

119

Step-by-step explanation:

it will be the same as 8 because they are adjacent..

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You originally draw a design for an art contest on a 2 in. x 5 in. card. The second phase of the contest requires the drawing to

Licemer1 [7]

Answer:

the other dimension is 4.2 inches

Step-by-step explanation:

The scale factor from 5 inches to 10.5 inches is ...

10.5/5 = 2.1

Then the other dimension is 2 inches times that scale factor:

2.1×(2 in) = 4.2 in

4 0

3 years ago

By what percent will the product of two numbers decrease if one of them is decreased by 25% and the other one is decreased by 50

olchik [2.2K]

Well, let's say the numbers are "a" and "b"

so a * b = ab

ok... now, if we reduce "a" by 25%, that means the new size is just 75% of the old one, how much is 75% of a? well, (75/100) * a, or 0.75a

now let's reduce "b" by 50%, that means the new size is 50% or half, how much is 50% of b? well (50/100)*b, or 0.5b

$\bf \begin{cases}
a\cdot b\implies ab\\
0.75a\cdot 0.5b\\
\qquad 0.75\cdot 0.5ab\\
\qquad 0.375ab
\end{cases}$

now, the new size of "ab" is just 0.375ab... well, let's revert the decimal format by simply multiplying by 100

0.375 * 100, is 37.5%

the new size of "ab" is just 37.5% of the original "ab"

it decreased by 100 - 37.5 or 62.5%

5 0

3 years ago

problem 5 answer based of the following distribution. what would be the appropriate measures of center of spread circle one answ

pentagon [3]

Answer:

Step-by-step explanation:

8 0

3 years ago

A cup of coffee with temperature 155degreesF is placed in a freezer with temperature 0degreesF. After 5 minutes, the temperatur

Leviafan [203]

Answer:

45.50° F

Step-by-step explanation:

As per Newton's law,

$T(t) = T_{s}+(T_{0} + T_{s})e^{-kt}$

When T(t) is the final temperature

$T_{s}$ = Temperature of surrounding

$T_{0}$ = Initial temperature

t =duration of cooling

k = constant

$103=0+(155-0)e^{-k\times 5}$

$103=155e^{-5k}$

Now take natural log on both the sides

$ln(103)=ln(155e^{-5k})$

$ln(103)=ln(155)+ln(e^{-5k})$

$ln(103)=ln(155)=-5k$

4.6347 - 5.0434 = -5k

$k=\frac{0.40872}{5}$

k = 0.0817

$T(t)=0+(155-0)e^{(0.0817\times 15)}$

= $155e^{-1.226}$

= 155 (02935)

= 45.49 ≈ 45.50° F

8 0

3 years ago

A house blueprint has a scale of 1 in. : 4 ft. The length and width of each room in the actual house are shown in the table. Com

Mariulka [41]

We know that
scale------------> 1 in/4 ft
[blueprint]=scale*[actual]

Part 1) Living room
lenght (20 ft) -------------> [blueprint]=(1/4)*20=5 in
width (8 ft) ----------------> [blueprint]=(1/4)*8=2 in

Part 2) Kitchen
length (16 ft) -------------> [blueprint]=(1/4)*16=4 in
width (16 ft) ----------------> [blueprint]=(1/4)*16=4 in

Part 3) Office
length (8 ft) -------------> [blueprint]=(1/4)*8=2 in
width (16 ft) ----------------> [blueprint]=(1/4)*16=4 in

Part 4) Bedroom 1
length (8 ft) -------------> [blueprint]=(1/4)*8=2 in
width (16 ft) ----------------> [blueprint]=(1/4)*16=4 in

Part 5) Bedroom 2
length (20 ft) -------------> [blueprint]=(1/4)*20=5 in
width (20 ft) ----------------> [blueprint]=(1/4)*20=5 in

Part 6) Bathroom
length (6 ft) -------------> [blueprint]=(1/4)*6=1.5 in
width (8 ft) ----------------> [blueprint]=(1/4)*8=2 in

see the attached figure to view the table

3 0

3 years ago

Read 2 more answers