MATHEMATICS HIGH SCHOOL

What is the ratio 18:24 in its simplest form

Answers

Answer 1
Answer:

Answer:

3:4

Step-by-step explanation:

18:24

=

(18)/(24)

(18 / 6)/(24 / 6)

(3)/(4)

3:4

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O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?

Answers

Answer:

\boxed{\boxed{x^(\circ)=78^(\circ)}}

Step-by-step explanation:

Given that, O is the center of the circle and PQ is a tangent to the circle at point Q. OQ is a radius of the circle.

We know that, a tangent to a circle is a line which just touches the circle. And the angle between the tangent and radius is 90°.

Hence, ΔOQP is a right angle triangle. We know that the sum of the measurements of all the 3 angles of a triangle leads to 180°. So,

\Rightarrow m\angle O+m\angle Q+m\angle P=180^(\circ)

\Rightarrow x^(\circ)+90^(\circ)+12^(\circ)=180^(\circ)

\Rightarrow x^(\circ)=180^(\circ)-90^(\circ)-12^(\circ)=78^(\circ)
Angle q is right angle so you would first do 12+90=102 then you would do 180-102=78 so x=78

2. Which shows 0.125 written in expanded form?

Answers

Answer:

0.1 + 0.02+ 0.005

Please help!! need to pass this class!!

Answers

Answer:

ADB and DBC

Step-by-step explanation:

Angles ADB and DBC are both marked with three curved lines which shows that their angles are congruent to each other.

Hope this helps! :)

Use a factor tree to find the prime factorization of 164

Answers

  On the first hand, 164 is not a prime number. Prime numbers are numbers that can only be divided by 1 or itself which is also greater than 1 thus;
Prime divisor of 164= 2,2,41 or 2^2 x 41
Here is the factor tree of 164:
164
/     \
2     82
 /       \
2      41  
Prime factorization of a number determines the set of prime integers multiplied together to make the original number.   


Answer:

2 * 2 * 41

Step-by-step explanation:

Solve equation for the given variable 7x + 18 = -24

Answers

ok, the first thing we need to do it to isolate the variable.

7x+18=-24
     -18    -18
7x=-42

then divide to cancel out multiplication

7x=-42
---   ---
7      7

x=-6
7x + 18 = -24

Take 18 to the other side.
7x + 18 - (18) = -24 - (18)
7x = -42

Divide both sides by 7:
(7x)/(7) = -(42)/(7)
7 and 7 cancels out

x = -6

The Jurassic zoo charges $12 for each adult admission and $7 for each child. The total bill for 129 people was $1088. How many adults and how many children?

Answers

there were 155 kids at the zoo & 90 adults 1088÷7=155 1088÷12=90
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