All categories

3 years ago

Find LN in the image below .

Mathematics

1 answer:

Anarel [89]3 years ago

6 0

Answer:

Step-by-step explanation:

We see that MP and PL are congruent, as are MQ and QN. Using scale factors, we can conclude that the scale factor from MP to ML is 1:2.

Based on SAS similarity, MPQ and MLN are similar, so their sides are proportional.

You might be interested in

Jerome solves the inequality y–2 ⩽ 9 in one step, writing y ⩽ 11 as the solution. What property best justifies the step he used

DedPeter [7]

The answer is b because he added 2

8 0

3 years ago

2/3 +1 2/7 = step and working out plz

ollegr [7]

Answer:

Step-by-step explanation:

1. Make 1 2/7 an improper fraction = 9/7

2. Multiply 7 on both numerator and denominator for 2/3 to make 14/21, and multiply 3 for both numerator and denominator for 9/7 to make 27/21.

3. Add them together. 14/21+27/21=41/21.

4. (Optional) If the question is asking for mixed numbers, 41/21 = 1 20/21.

3 0

3 years ago

A girl 1.54m girl, is 30m away from tower whose height is 53.5m. determine the angel of angle of elevation from her eye to the t

steposvetlana [31]

Answer:

reference attached

Step-by-step explanation:

<h2>hope it helps you<3</h2>

8 0

3 years ago

Read 2 more answers

What is the equation of the line perpendicular to the line with zero slope passing through point (5,7)?

Mademuasel [1]

Answer:

perp. is -0 which is 0

y - 7 = 0(x - 5)

y -7 = 0

y = 7 is the answer

6 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