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kari74 [83]
3 years ago
11

Find the value of x that makes m ∥ n

Mathematics
2 answers:
AURORKA [14]3 years ago
5 0
Those two angles are alternate interior angles, so they must be congruent.

3x = 2x + 20

x = 20
Alex73 [517]3 years ago
4 0

Answer:

The value of x that makes m || n is x = 20

Step-by-step explanation:

Given a line that is intersected by another two lines (for example line ''m'' and line ''n'' like in the exercise) one of the conditions that makes m || n is that the alternate interior angles must be congruent. Understanding that congruent means the same.

In the exercise, one pair of alternate interior angles are (2x+20)° and 3x°.

We need this two angles to be congruent ⇒ 3x=2x+20

Solving this for ''x'' :

3x=2x+20\\3x-2x=20\\x=20

The value of x that makes 3x° congruent to 2x+20° (that makes the alternate interior angles congruents) is x = 20

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Lori has nine hours to spend this weekend working on a dozen art projects. If she splits her time evenly how long will she work
zloy xaker [14]

Answer:

4 hours and 30 min every day

Step-by-step explanation:

2 days in weekend so 4 hour and 30 times two is 9 hours your welcome

5 0
3 years ago
If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's bloodstream at any time ca
aleksandr82 [10.1K]

Answer:

(a)8.0mg

(b)36.87 hours

(c)-0.168

Step-by-step explanation:

The amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function A ( t ) = 10 e^{ -0.0188 t (t in hours)

(a)After 12 Hours

A ( 12) = 10 e^{ -0.0188*12}\\=7.98\\\approx 8.0 mg $(to the nearest tenth of a milligram)

(b)If A(t)=5mg

Then:

5= 10 e^{ -0.0188 t}\\$Divide both sides by 10\\0.5=e^{ -0.0188 t}\\$Take the natural logarithm of both sides\\ln (0.5)=-0.0188 t\\t=ln (0.5) \div (-0.0188)\\$t=36.87 hours (to two decimal places.)

(c)

A ( t ) = 10 e^{ -0.0188 t}\\A'(t)=10(-0.0188)e^{ -0.0188 t}\\A'(t)=-0.188e^{ -0.0188 t}\\$At 6 hours, the rate at which the amount of Valium is decaying therefore is:\\A'(6)=-0.188e^{ -0.0188*6}\\$=-0.168 ( to three decimal places)

3 0
3 years ago
Phthagorean therom: <br> Explain and Solve following questions
marishachu [46]

Answer:

a squared plus b squared = c squared

Step-by-step explanation:

a) 100

b) 153

Honestly I'm just guessing i'm only in algebra 1 and even if i wasn't I suck at geometry

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3 years ago
Read 2 more answers
Ali's dog weighs 8 times as much as her cat. Together the two pets weigh 54 pounds. How much does Ali's dog weigh?
vekshin1
48 because 9x=54. 54 divide by 9 is 6. 6 times 8 is 48
~JZ
3 0
3 years ago
The table below shows the number of red, blue, and white ribbons won by 4 girls during last years gymnastic season
Yuri [45]

Answer: B or D

Step-by-step explanation:

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1/3 of 15 is gonna be 5, while 19 is gonna be around 6.3

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3 0
3 years ago
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