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taurus [48]
3 years ago
5

Find the value of x in the isosceles triangle shown below.

Mathematics
2 answers:
Mariulka [41]3 years ago
5 0

Answer:

10

Step-by-step explanation:

This triangle is divided into 2 identical rigth triangles.

We will use the pythagorian theorem:

●8^2+ (12/2)^2 =x^2

● 64 + 36 = x^2

● x= 10

So x is 10

Reptile [31]3 years ago
4 0

Answer:

x=10

Step-by-step explanation:

We can use the Pythagorean theorem to find x

The height meets the base at a right angle

The base is bisected ( cut in half) so the base is 6 the height is 8

a^2 + b^2 = c^2

6^2 + 8^2 = x^2

36+64 = x^2

100 = x^2

Taking the square root of each side

sqrt(100) = sqrt(x^2)

10 = x

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Kala purchased a prepaid phone card for $30. Long distance calls cost 9 cents a minute using this card. Kala used her card only
Romashka [77]

Answer:

The call lasted 13 minutes

Step-by-step explanation:

In this question, we are told to find the number of minutes a call lasted.

The initial amount on the card is $30 and after making a phone call just once, the balance went down to $28.83

What was used would be 30 - 28.83 = $1.17 or simply 117 cents

Now these long calls come at a cost of 9 cents per minute and we have a total of 117 cents here; the number of minutes is thus 117/9 = 13

This means Kala spent 13 minutes on the call

8 0
3 years ago
Read 2 more answers
Simplify: 5^(2)x 5^(4)x5^(-4)x5^(-2)
Katen [24]

Answer:

320x^{15}

Step-by-step explanation:

1. take out constants

( 5 × 2 × 4 × - 4 × - 2) x^{5} x^{5} x^{5}

2. simplify 5 × 2 to 10

(10 × 4 - 4 × - 2)x^{5} x^{5} x^{5}

3. simplify 10 × 4 to 40

(40 × - 4 × - 2)x^{5} x^{5} x^{5}

4. simplify 40 × -4 to -160

(-160 × - 2)x^{5} x^{5} x^{5}

5. simplify -160 × -2 to 320

320x^{5} x^{5} x^{5}

6. use product rule:x^{a} x^{b} =x^{a+b}

320x^{5+5+5}

7. simplify 5 + 5 to 10

320x^{10+5}

8. simplify 10 + 5 to 15 320x^{15}

3 0
3 years ago
What Ordered pairs would you proud to show the puppies weigh on a coordinate grid? How do you think the ordered pairs would be d
lina2011 [118]

Answer: 5

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What are the missing parts that correctly complete the proof
bonufazy [111]

Answer:

2. \overline{AX}\cong \overline{BX}

3. PX \perp AB - definition of perpendicular

4. \angle PXA \cong \angle PXB - all right angles are congruent

6. \triangle AXP\cong \triangle BXP

7. \overline{PA} \cong \overline{PB}

Step-by-step explanation:

<u>Given: </u>Point P is the perpendicular bisector of AB

<u>Prove: </u>P is equidistant from the endpoints AB

<u>Proof.</u>

1. Point P is on the perpendicular bisector of AB - given

2.\overline{AX}\cong \overline{BX} - definition of bisector

3. PX \perp AB - definition of perpendicular

4.  \angle PXA \cong \angle PXB - all right angles are congruent

5. \overline{PX} \cong \overline{PX} - reflexive property of congruence

6. \triangle AXP\cong \triangle BXP - SAS congruency postulate

7. \overline{PA} \cong \overline{PB} - corresponding parts of congruent triangles are congruent

8. Point P is equidistant from the endpoints of AB - definition of equidistant

5 0
3 years ago
Baseballs are sold 8 to a box. The
koban [17]
You need to multiply 18*3 to get the number of balls needed. Then you have to divide the answer with 8 to get the amount of boxes needed.
18x3= 24
24x8= this will give you your answer
4 0
2 years ago
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