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nalin [4]
3 years ago
11

Can someone help me pls

Mathematics
1 answer:
Artist 52 [7]3 years ago
3 0

Answer:

PΔJKL=66

Step-by-step explanation:

so we are given the line segments JK, KL, and LJ which are tangent to k(O), and also that JA=9, AL=10, and CK=14

JL=JA+AL (parts whole postulate)

JL=9+10=19 (substitution, algebra)

JA=JB=9 (tangent segments from the same point are congruent)

CK=KB=14 (tangent segments from the same point are congruent)

JK=JB+KB (parts whole postulate)

JK=9+14=23 (substitution, algebra)

LA=LC=10 (tangent segments from the same point are congruent)

LK=LC+CK (parts whole postulate)

LK=10+14=24 (substitution, algebra)

Perimeter of ΔJKL=LK+KL+LJ (perimeter formula for triangles)

Perimeter of ΔJKL=23+24+19=66 (substitution, algebra)

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The level of water in a dam was decreasing by 20% each day. If the level of water was 1500cm,what was the level after two days?
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Answer:

L_o= 1500 cm

And we know that the level is decreasing 20% each day so then we can use the following model for the problem

L_f = L_o (1-0.2)^t

Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:

L_f = 1500cm(0.8)^2 = 960cm

Step-by-step explanation:

For this case we know that the initial volume of water is:

L_o= 1500 cm

And we know that the level is decreasing 20% each day so then we can use the following model for the problem

L_f = L_o (1-0.2)^t

Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:

L_f = 1500cm(0.8)^2 = 960cm

6 0
4 years ago
Justin and michelle are playing a card game. In the first round, caitlin scored 100 points and justin scored 75 points. In each
Arada [10]

Answer:

Step-by-step explanation: first you have to add up the point that each scored altogether and Caitlin scored 300 and Justin scored 250

5 0
3 years ago
Read 2 more answers
The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)? g(x)
Verdich [7]

Answer:

g(x)=(x+7)^2-3

Step-by-step explanation:

Given:

f(x)= x^2

Now we have to translate f(x) 7 units to the left and 3 units down to form the function g(x).

As per the rules of translation

when any parent function, in given case f(x)=x^2, is translated to 'a' units to the left then 'a' is added to the value of x. thus making f(x+a)

Also when the parent function is translated any 'a' units down then 'a' is subtracted from the value of function. thus making f(x)-a

Translating f(x), 7 units to the left

f(x+7)= (x+7)^2

Translating f(x+7), 3 units down

f(x+7)-3 = (x+7)^2-3

Hence new function g(x)=(x+7)^2-3!

7 0
3 years ago
Find the value of X. If necessary, round the answer to the nearest 10th. The figure is not drawn to scale.
max2010maxim [7]

Answer:

40

Step-by-step explanation:

You know that the length of the lines are equal, therefore the value of the angles should also be equal.

Think of it this way:

The greater the angle, the greater the line and vice versa.

Hope this helps.

6 0
3 years ago
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Snezhnost [94]
You did not include the graph.

Searching on internet I found a graph with which I can help you. I will solve the question using and so you can understand the problem and solve with the real graph.

1) The slope of line given the graph is calculated as:

slope = run / rise = Δy / Δx = constant.

2) So, you can choose any two points to calculate the slope.

3) Uisng the points (50,20) and (30,10) you get:

slope = [ 20 - 10] / [50 - 30] = 10 / 20 = 1/2

4) Note that that means that the plant grows 1 cm in 2 days

5) The rate of change is 1cm / 2 weeks.

With this you know how to calculate the slope, which is the same rate of change, and the meaning of it, which permits to answer the question from the complete statement and graph.

8 0
4 years ago
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