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zloy xaker [14]
2 years ago
7

What is the value of x

Mathematics
2 answers:
Maslowich2 years ago
8 0

Answer:

x=4.5

Step-by-step explanation:

The triangles are similar (bases are parallel so bottom angles are equal (corresponding), hence they're similar by AA)

Since they're similar, their sides are in ratio:

(x+6)/(x+x+6)=(30-9)/(30)

(x+6)(30)=(2x+6)(21)

30x+180=42x+126

12x=54

x=4.5

gayaneshka [121]2 years ago
5 0

Answer:

Assuming the other side is 30, x=12

Step-by-step explanation:

X+(X+6)=30

2x+6=30   (open the brackets by distributing the plus sign inside)

2x=24       (subtract 6 from both sides)

x=12          divide both sides by 12

This makes sense because of x is 6, and x+6 is 18, 6+18=30.

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Find the perimeter of the figure shown to the right.
tia_tia [17]

Step-by-step explanation:

that is very simple. you do understand the word "perimeter" ? it just means the distance when walking around the whole shape once.

and that clearly means to just add all side lengths.

that's it.

so, 25 + 18 + 18 + 20 + 17 = 98 ft

was there any other problem with this you did not understand ?

8 0
2 years ago
Question and choices are in the photo please explain the answer
Natasha_Volkova [10]

Answer:

\text{A) }68\:\mathrm{cm}

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.

Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.

To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a 90^{\circ}, creating right triangles \triangle TOP and \triangle SOP.

The Pythagorean Theorem states that the following is true for any right triangle:

a^2+b^2=c^2, where c is the hypotenuse, or the longest side, of the triangle

Thus, we have:

10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24

Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.

What we know:

  • TP=SP=24
  • TO=SO=10

Thus, the perimeter of the quadrilateral PTOS is equal to 24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}

7 0
3 years ago
Read 2 more answers
Look at picture please! :)
Paladinen [302]

Answer:

HCF of 15 and 18 = 3

3ft long is the greatest he can make

5 0
3 years ago
How are radicals and rational exponents related?
icang [17]

Answer:

Any radical in the form can be written using a fractional exponent in the form . The relationship between and works for rational exponents that have a numerator of 1 as well. For example, the radical can also be written as , since any number remains the same value if it is raised to the first power.

Step-by-step explanation:

8 0
3 years ago
Value<br>5. What per cent of 84 is 14?​
galben [10]
14/84 x100 =. 1/6 x 100 = 16.66%
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3 years ago
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