All categories

3 years ago

Problem 1 :Given: HJ= 4x + 9, JK = 30 + 3, and KH = 33 Find: x, HJ, and JK

Mathematics

1 answer:

MaRussiya [10]3 years ago

3 0

Answer:

Step-by-step explanation:

4x + 9 + 3x + 3 = 33

7x + 12 = 33

7x = 21

x = 3

HJ= 4(3) + 9 = 12 + 9 = 21

JK= 3(3) + 3 = 9 + 3 = 12

You might be interested in

Zane bought a pair of jeans that originally cost $56. He used a coupon for 25% off and paid 8% in sales tax. How much did he pay

sattari [20]

Answer:

$38.64

Step-by-step explanation:

so the equation needed to solve is $56*0.25 and that number is 14. Since it is a coupon you subtract 14 from 56 and end up with 42. Now multiply 0.08*42 and you got your sales tax, $3.36. now subtract that from 42 and you have your answer! Don't forget the dollar sign!

hope this helped! : )

5 0

3 years ago

At a manufacturing plant where switches are made, it is a known fact that 2% of all switches are defective. If two switches are

olchik [2.2K]

Answer:

The probability that exactly one switch is good is

$P(x) =0.0392$

Step-by-step explanation:

The probability that a switch is defective is:

$P(D) = \frac{2}{100} =0.02$

The probability that a switch is not defective is

$P(D') = 1-P(D)=0.98$

Therefore, if two switches are selected, the probability that exactly 1 is good is:

$P(1=1)=P (D) P (D ') + P (D') P (D)$

$P(x)=(0.02)(0.98) + (0.98)(0.02)$

$P(x) =0.0392$

6 0

4 years ago

Read 2 more answers

10 points, doing this one again because I got a wrong answer last time but regardless thank you for trying to help

Alik [6]

Hey ! there

Answer:

Value of missing side i.e. TE is 12 feet

Step-by-step explanation:

In this question we are provided with a right angle triangle having TS - 35 ft and SE - 37 ft . And we are asked to find the missing side that is TE using Pythagorean Theorem .

Pythagorean Theorem : -

According to Pythagorean Theorem sum of squares of perpendicular and base is equal to square of hypotenuse in a right angle triangle i.e.

H² = P² + B²

Where ,

H refers to Hypotenuse

P refers to Perpendicular

B refers to Base

Solution : -

In the given triangle ,

Base = TE

Perpendicular = TS ( 35 feet )

Hypotenuse = SE ( 37 feet )

Now applying Pythagorean Theorem :

$\quad \longmapsto \qquad \:SE {}^{2} = TS {}^{2} + TE {}^{2}$

Substituting values :

$\quad \longmapsto \qquad \:37 {}^{2} = 35 {}^{2} + TE {}^{2}$

Simplifying it ,

$\quad \longmapsto \qquad \:1369 = 1225 + TE {}^{2}$

Subtracting 1225 on both sides :

$\quad \longmapsto \qquad \:1369 - 1225 = \cancel{1225} + TE {}^{2} - \cancel{1225}$

We get ,

$\quad \longmapsto \qquad \:144 = TE {}^{2}$

Applying square root to both sides :

$\quad \longmapsto \qquad \ \sqrt{ 144} = \sqrt{TE {}^{2}}$

We get ,

$\quad \longmapsto \qquad \: \red{\underline{\boxed{\frak{TE = 12 \: feet}}}} \quad \bigstar$

Henceforth , value of missing side is 12 feet .

Verifying : -

Now we are verifying our answer using Pythagorean Theorem . We know that according to Pythagorean Theorem ,

SE² = TS² + TE²

Substituting value of SE , TS and TE :

37² = 35² + 12²

1369 = 1225 + 144

1369 = 1369

L.H.S = R.H.S

Hence , Verified .

Therefore , our answer is correct .

<h2>#Keep Learning</h2>

6 0

2 years ago

Read 2 more answers

Pls explain how to solve it!

Sophie [7]

Answer:

a = jd

Step-by-step explanation:

We want to solve for a given that a/d = j

To do so we want to isolate a (get a by itself )

We can do this by using inverse operations.

We would want to get rid of the d

A is being divided by d.

The inverse of division is multiplication so to get rid of the d we multiply a/d by d but whatever we do to one side we must do to the other so we multiply both sides by d

a/d * d = a

j * d = jd

we are then left with a = jd

And we are done!

5 0

2 years ago

Read 2 more answers

jeremy mowed several lawns to earn money for camp. after he paid $17 for gas, he had $75 leftover to pay towards camp. write and

USPshnik [31]

Money earned = e=75+17=92

8 0

3 years ago

Problem 1 :Given: HJ= 4x + 9, JK = 30 + 3, and KH = 33 Find: x, HJ, and JK​

Problem 1 :Given: HJ= 4x + 9, JK = 30 + 3, and KH = 33 Find: x, HJ, and JK