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mr Goodwill [35]
3 years ago
7

Find the value of X. Write your answer in simplest form.What does X equal? ​

Mathematics
1 answer:
drek231 [11]3 years ago
7 0

<u>Given</u>:

Given that the figure of similar triangles.

The altitude of the triangle is x.

The length of the left part is 30.

The length of the right part is 15.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the geometric mean theorem.

Thus, we have;

\frac{\text { left }}{\text { altitude }}=\frac{\text { altitude }}{\text { right }}

Substituting the values, we have;

\frac{30}{x}=\frac{x}{15}

Cross multiplying, we get;

30 \times 15= x^2

     450=x^2

Taking square root on both sides, we have;

15 \sqrt{2}=x

Thus, the value of x is 15√2

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ANSWER PLS URGENT VERY URGENT TYSM ik its a lot of questions but id really really be grateful for the help
anyanavicka [17]

Step-by-step explanation:

about circle R

arc angle MP = angle MRP = 78°

angle M = angle LMP.

according to the rules of inscribed angles, LMP is half of angle LRP.

LRP + MRP = 180° because together they cover the whole LM segment (half-circle).

LRP = 180 - MRP = 180 - 78 = 102°

so, LMP = angle M = 102/2 = 61°

also circle R (with arc ULNP)

the arc ULNP = arc UL + arc LN + arc NP = 160°

due to the congruent definition of JU and MP we know that arc UL = arc NP.

and we know arc LN = arc JM = 18°.

so,

160 = 2×arc NP + 18

142 = 2×arc NP

arc NP = 71° = arc UL

now, because arc MP + arc LP = 180 (half-circle),

arc MP = 180 - arc LP = 180 - arc LN - arc NP =

= 180 - 18 - 71 = 91°

about the circle R with 2 congruent chords :

the second answer : they are equidistant from R (the center of the circle).

about circle W

arc MK + arc KL = 180° (half-circle).

and we see

arc HL = arc KL = 53°.

so,

arc MK + 53 = 180°

arc MK = 180 - 53 = 127°

about circle M

arc QTS = 204°.

therefore, arc QRS = 360 - arc QTS = 360 - 204 =

= 156° = angle QMS.

according to the rules of inscribed angles

angle QTS = QMS/2 = 156/2 = 78°

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2 years ago
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2 years ago
Professor Easy's final examination has 9 true-false questions followed by 3 multiple-choice questions. In each of the multiple-c
trapecia [35]

Answer:    2⁹5³ = 64,000

<u>Step-by-step explanation:</u>

There are 9 questions with 2 options (true or false) = 2⁹

There are 3 multiple questions with 5 options = 5³

true/false questions AND multiple choice questions

                  2⁹               x                5³                            = 2⁹5³

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3 years ago
Al's Bakery has a checkbook balance of $1,650. A $700 deposit was made today and will be added to the available balance tomorrow
BigorU [14]

Answer:

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7 0
2 years ago
1/2x - 4 = 1/3x + 5​
Mamont248 [21]

Answer:

X = 54

Step-by-step explanation:

Let's solve your equation step-by-step.

1/2x−4=1/3x+5

Step 1: Subtract 1/3x from both sides.

1/2x−4−1/3x=1/3x+5−1/3x

1/6x−4=5

Step 2: Add 4 to both sides.

1/6x−4+4=5+4

1/6x=9

Step 3: Multiply both sides by 6.

6*(1/6x)=(6)*(9)

x=54

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3 years ago
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