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Mazyrski [523]
4 years ago
11

TRUE OR FALSE: Every diameter of a circle is a chord. Justify your answer using what you know about diameters and chords.

Mathematics
1 answer:
Nataly_w [17]4 years ago
3 0
True.
A diameter is a line that goes across the whole circle and passes by the center.
A chord is any line segment that connects two points on the circumference.
Since the diameter is a line from one opposite end of the circle to the other, it is connect two points on the circumference, thus it is a chord.
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One number is 18 more than another number. The sum of the numbers is 36. find the numbers
tatuchka [14]

We can use a system of equations in order to solve for both of the numbers. Let's start off by assigning variables to each number. The bigger number can be 'x', and the smaller number can be 'y'.

We can make two equations from the given:

x = 18 + y

("One number is 18 more than another number")

x + y = 36

("The sum of the numbers is 36")

If you look at the first equation, the variable 'x' already has a value (18 + y). We can input its value into the second equation in order to solve for y:

x + y = 36

(18 + y) + y = 36

18 + 2y = 36

2y = 18

y = 9

Input the value of 'y' into the first equation:

x = 18 + y

x = 18 + 9

x = 27

<u>One number is 27 and the other number number is 9.</u>

<u></u>

Let me know if you'd like me to explain anything I did here.

- breezyツ

7 0
4 years ago
Triangles △GJI and △PKH are similar, and m∠G+m∠P=50°, and m∠I=48°. What are the measures of all the angles of these triangles ?
velikii [3]

If ΔGJI and ΔPKH are similar, then ∡G≅∡P, ∡J≅∡K and ∡I≅∡H.

We have m∡G + m∡P = 50°, therefore m∡G = m∡P = 50° : 2 = 25°.

m∡I = 48° therefore m∡H = 48°.

We know, the sum of the measures of the angles of a triangle is equal 180°.

Therefore we have the equation:

m∡G + m∡J + m∡I = 180°

25° + m∡J + 48° =180°

73° + m∡J = 180°      <em>subtract 73° from both sides</em>

m∡J = 107° → m∡K = 107°.

<h3>Answer: ΔGJI and ΔPKH: 25°, 107°, 48°</h3>
8 0
3 years ago
Read 2 more answers
1. Alexa drove 5 miles from home to school. Then, taking a different route, she drove 4 3/5 miles back home. What was the total
jenyasd209 [6]

Answer:

5x4 3/5=23

Step-by-step explanation:

take the 5 miles from home to school then basically you do it 4 and 3/5 more times so just multiply.

3 0
3 years ago
Help me with this fast pleaseee
sveta [45]
I’m confused on what it is asking
4 0
3 years ago
What's the ellipse time between 3:40 a.m. and 2 p.m.
irga5000 [103]
5 hours and twenty minutes
4 0
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