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2 years ago

Solve 7x- c = k for x

Mathematics

1 answer:

Alenkinab [10]2 years ago

5 0

Answer:

Step-by-step explanation:

I know the answer is D because I set the equation to be equal to x.

First, I added c to both sides. The equation looked like: 7x=k+c

Then, I divided 7 on both sides, so x would be by itself. The equation looked like x=k+c/7

In conclusion, the answer is D. x=k+c/7

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Given: mKP=2mIP, mIVK =120°<br> Find: m∠KJL.

anzhelika [568]

Answer:

<h2>The measure of angle KJL is 40°.</h2>

Step-by-step explanation:

Givens

$m(KP)=2m(IP)$

$m(IVK)=120\°$

Notice that

$m(KP)+m(IP)+m(IVK)=360\°$ , by definition sum of arcs.

Replacing given values, we have

$2m(IP)+m(IP)+120\°=360\°\\3m(IP)=360\° - 120\°\\m(IP)=\frac{240\°}{3}\\ m(IP)=80\°$

Which means $m(KP)=2(80\°)=160\°$

Notice that arc KP is the subtended arc by angle KJL.

We know that the angle formed by a tangen and a secant is equal to one-half of the difference of the intercepted arcs.

$m\angle KJL = \frac{1}{2} (m(KP)-m(IP))\\m \angle KJL = \frac{1}{2}(160\° - 80\° )=\frac{1}{2}(80\°)=40\°$

Therefore, the measure of angle KJL is 40°.

8 0

2 years ago

Find all real zeros of the function y=-5x-7

Yakvenalex [24]

Answer:

x=1 2/5

Step-by-step explanation:

Replace y with 0 and solve for x.

5 0

2 years ago

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Bernardo and Ogechi were asked to find an explicit formula for the sequence 1\,,\,8\,,\,64\,,\,512,...1,8,64,512,...1, comma, 8,

MatroZZZ [7]

Answer:

$h_{n}=1.(8)^{n-1}$ will be the correct formula for the given sequence.

Step-by-step explanation:

The given sequence is 1, 8, 64, 512...........

The given sequence is a geometric sequence having a common ratio (r) of

r = $\frac{\text{Second term}}{\text{First term}}$

r = $\frac{8}{1}=8$

Since explicit formula of a geometric sequence is given by

$T_{n}=a(r)^{n-1}$

where $T_{n}$ = nth term of the sequence

a = first term of the sequence

r = common ratio of the successive term to the previous term

Now we plug values of a and r in the formula to get the explicit formula for the given sequence.

$T_{n}=1.(8)^{n-1}$

Therefore, if Bernardo is saying that the formula of the sequence is

h(n) = $1.(8)^{n-1}$ then he is correct.

7 0

2 years ago

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In a survey of 2,300 people who owned a certain type of car, 1,610 said they would buy that type of car again. What percent of t

trapecia [35]

Answer:

In a survey of 2,300 people who owned a certain type of car, 1,610 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?

1610/2300x100=

70%

Step-by-step explanation:

total number of people for the survey= 2300

those that wanted to buy the car= 1610

percentage= 1610/2300x 100=0.7x 100

percentage= 70%

3 0

2 years ago

The figure below shows a parallelogram ABCD. Side AB is parallel to side DC and side AD is parallel to side BC: A quadrilateral

il63 [147K]

The postulate that is used in order to prove the congruency of the triangles is the ASA which means (Angle – Side – Angle). The property that is applicable for the congruency of DB to itself is the reflexive property. Therefore, the answer to this item is the second choice.
Hope I helped! :)

6 0

2 years ago

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