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3 years ago

What is the solution to the system of equations?

1 answer:

8 0

Putting the first equation into the second equation, we have
x - 2(2x - 3.5) = -14
x - 4x + 7 = -14
-3x = -21
x = 7
y = 2(7) - 3.5 = 14 - 3.5 = 10.5
Therefore the solution is (7, 10.5)

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What is the measure of angle 7?

goldenfox [79]

Answer:

measure of Angle 7 would also be (3y - 8), by the alternate exterior angles theorem

Hope this helps!

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3 years ago

What is the answer if 202^2 base3 - 112^2 base3?

yuradex [85]

Answer:

Hello,

answer is 204 in base 10 or 21120 in base 3

Step-by-step explanation:

$((202)_3)^2=(202*202)_3=(112211)_3\\\\((112)_3)^2=(112*112)_3=(21021)_3\\\\(112211-21021)_3=(211120)_3=(204)_{10}\\\\\\\\\\Other\ way\\\\((202)_3)^2=((20)_{10})^2=(400)_{10}\\\\((112)_3)^2=((14)_{10})^2=(196)_{10}\\\\(400-196)_{10}=(204)_{10}=(21120)_3$

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3 years ago

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Doss [256]

Answer:

38°

Step-by-step explanation:

All triangles have a sum of 180°

180 - (119 + 23) = missing angle

180 - (142) = missing angle

38 = missing angle

So, the missing angle has a measurement of 38°

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4 years ago

An elf counted 12 small holiday sweaters, 34 medium holiday sweaters, and 27 large holiday sweaters on the store shelves. She al

mariarad [96]

Answer:

What is the question?

Step-by-step explanation:

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3 years ago

there are 75 students in a speech contest. Yesterday, 1/3 of them gave their speeches. Today, 2/5 of the remaining students gave

Aloiza [94]

Answer:

30 students

Step-by-step explanation:

Yesterday: 1/3 of the 75 students (75 / 3) = 25 students

There are now 50 students remaining to give their speeches.

Today: 2/5 of the 50 students (50 / 5 = 10 x 2 ) = 20 students

50 - 20 = 30 students remaining to give their speeches.

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3 years ago