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2 years ago

Angle M has a measure of 36° and Angle N has a measure of 24°. Are these two angles congruent?

Mathematics

1 answer:

Verdich [7]2 years ago

8 0

No, because congruent angles have the same measure

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The difference of a number divided by 7 and 9 is equal to 2. use the variable C what the unknown

bogdanovich [222]

Given that the number is C.
The number divided by 7 is C/7
Difference means we will subtract 9 from C/7.
Therefore, the equation will be:
C/7 - 9 = 2 (multiply all terms by 7 to get rid of the fraction)
C - 63 = 14
C = 14 + 63 = 77

5 0

2 years ago

If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ?

Dominik [7]

Answer:

$HJ=20\ units$

Step-by-step explanation:

The complete question is

RT and GJ are chords that intersect at point H. If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ? 18 units 20 units 26 units 28 units

we know that

The intersecting chords theorem is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal

In this problem

$(RH)(HT)=(GH)(HJ)$

substitute the given values

$(10)(16)=(8)(HJ)$

solve for HJ

$HJ=160/8\\HJ=20\ units$

7 0

2 years ago

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Anastasia is grocery shopping with her father and wonders how much shopping is left to do. "We already have 6 0 % 60%60, percent

Molodets [167]

If there are 12 items adding up to 60%, we want to know how many items more it will take to equal 100% So set up this equation 12/x = .6 then solve for x. x=12/.6 x = 20 now that we know the total you can subtract 12 from 20 and get 8, that is the number of items left on the list.

8 0

3 years ago

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Solve each system by substitution. -5x + 3y = 3 and -4x + y = 1

taurus [48]

$\left\{\begin{array}{ccc}-5x+3y=3\\-4x+y=1&|\text{add 4x to both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}-5x+3y=3\\y=4x+1&(*)\end{array}\right\\\\\text{Substitute }\ (*)\ \text{to the first equation}\\\\-5x+3(4x+1)=3\qquad\text{use distributive property}\\\\-5x+(3)(4x)+(3)(1)=3\\\\-5x+12x+3=3\qquad\text{subtract 3 from both sides}\\\\7x=0\qquad\text{divide both sides by (-5)}\\\\\boxed{x=0}\\\\\text{Substitute the value of x to}\ (*):\\\\y=4(0)+1\\y=0+1\\\boxed{y=1}\\\\Answer:\ x=0\ and\ y=1.$

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2 years ago

Help help help help I have a lot of stuff to do and I need help

maw [93]

Answer:

2 5/8

Step-by-step explanation:

1 6/8 + 7/8 = 1 13/8 = 2 5/8.

6 0

2 years ago

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