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riadik2000 [5.3K]
3 years ago
11

In the figure, AB || CD. If m<1=70° and m<2 = 45°, find the m<3

Mathematics
1 answer:
docker41 [41]3 years ago
8 0

Answer:65 degrees

Step-by-step explanation: a triangle has 180 degrees.

one angle is 45 degrees and the other is 70

if we add them together we get 115

180-115 is 65

m3 is 65 degrees

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The equation of the line that is parallel<br> to 4x+2 and passing through (5,15)
Mila [183]

Answer:

y=4x-5.

Step-by-step explanation:

slop-interception form of the required line is y=kx+b, where k - slop, b - intercept;

1) to find value of k:

if the required line is parallel to the given line, then slop of the given line = slop of the required line, it means k=4 and the required line is y=4x+b;

2) to find the value of 'b':

if to substitute the given coordinates into the equation of the given line, then:

15=4*5+b, b= -5.

3) finally, y=4x-5

8 0
3 years ago
6. Dina is moving and he is going to rent a moving van. She will need it for one day. The cost of renting the van $145 for the d
Marat540 [252]

Answer:

403.75

Step-by-step explanation:

we can write the following equation

.75m+145=price

we just need to plug in 345 for m

.75*345+145=price

put this into a calculator and get 403.75

6 0
3 years ago
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Misha Larkins [42]
The answer is d because it 0 has more than one outcome and 0 needs to only have one outcome for it to be a function
8 0
3 years ago
What is the answer to this problem?
elena55 [62]

The statement 'of ' represents multiplication.

thus, baby = 1/40 * 120 = 3 tons.

1 ton is 2000 pounds.

Hence, 3 is 6000 pounds.


4 0
3 years ago
Read 2 more answers
Karina uses the system of equations below to compare the monthly utility costs in July and December for electricity, x, and natu
fiasKO [112]

Answer:

d. The cost of natural gas (y) = $0.83 per unit

Step-by-step explanation:

The explanation is shown below:-

the equation of system is:

750x + 17y = 141.61  (i)        

300x + 30y =75.90 (ii)

as x indicates the cost of electricity and y indicates the costs of natural gas.

we will solve the both equation with the help of multiplication for (i) by 30 and for (ii) 75

30\times (750x  + 17y) 30\times 141.61\\\\

after solve the above equation we will get

22,500x + 510y = 4248.3 (iii)

75\times (330x + 30y) = 75\times 75.90

after solve the above equation we will get

22500x + 2250y = 5692.5 (iv)

After deducting the equation (iii) and (iv) we will get

1740 y = 1444.2

After Dividing by 15 both sides,

116y = 96.28

So, Katrina simplify the above system using linear equation and reach at the equation that is

116 y = 96.28

By Division property of equality defines that divide the equal no. of both sides of an equation:

by  Division of 116 to both sides of an equation, to get y:

\frac{116y}{116} = \frac{96.28}{116}

y = 0.83

So, the natural gas is $0.83 per unit

7 0
3 years ago
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