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olchik [2.2K]
3 years ago
10

Please help im confused

Mathematics
2 answers:
Dafna11 [192]3 years ago
6 0

Answer:

35º

Step-by-step explanation:

It says that the total degree of WXZ is 105º. If m∠2 is two times m∠1, that means that there are three total parts. You divide 105º by 3 and you get 35º. Therefore your answer is 35º

Elina [12.6K]3 years ago
5 0

9514 1404 393

Answer:

  m∠1 = 35°

Step-by-step explanation:

For simplicity, let the measure of angle 1 be represented by α. Then the measure of angle 2 is 2 times that, or 2α. Those two angles together total the measure of angle WXZ, which is 105°.

  α +2α = 105°

  3α = 105° . . . . . . . . . . collect terms

  α = 105°/3 = 35° . . . . divide by the coefficient of α

The measure of angle 1 is 35°.

_____

The measure of angle 2 is 70°.

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James knows that when he walks, he takes about 120
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Answer:

speed of James is: 3.75 miles/hour.

Step-by-step explanation:

We need to find the speed of James in miles per hour(mi/hr)

we know that 1 mile=5280 feet

James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.

i.e. he takes 7200 steps in 1 hour.

also each step of James=2.75 feet

total distance covered by James in 1 hour=2.75×7200 feet=19800 feet

19800feet=\frac{19800}{5280} miles=3.65miles

hence speed of James= (distance covered by james in 1 hour)/1 hour

speed of James=3.75 miles/hour.

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Examine the system of equations. 4. 2x 8y = 41. 8 –4. 2x y = 19. 4 Use the linear combination method to solve the system of equa
VashaNatasha [74]

You can use the method of substitution to solve the given linear system of equations.

The solution of the equation is given by (x,y) = (-3, 6.8)

The value of x is given by option:
Option A: -3

<h3>How to find the solution to the given system of equations?</h3>

We can use elimination in which we eliminate one variable to get the value of other variable and then use that value to find the first variable's value.

The system of equation given to us is

4.2x + 8y = 41.8\\-4.2x  +y = 19.4\\

Since we see that in the both equation have equal and opposite signed coefficient of the variable x, thus we can add both the equations to eliminate x.

Adding both the equations, we get:

(4.2 - 4.2)x + 8y + y = 41.8 + 19.4\\0x + 9y = 61.2\\9y = 61.2\\\\y = \dfrac{61.2}{9} = 6.8

Putting  this value of y in the first equation, we get:

4.2x + 8y = 41.8\\4.2x + 8 \times 6.8 = 41.8\\4.2x  = -12.6\\\\x = -\dfrac{12.6}{4.2} = -3

Thus,

The solution of the equation is given by (x,y) = (-3, 6.8)

The value of x is given by option:
Option A: -3

Learn more about system of linear equations here:

brainly.com/question/13722693

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2 years ago
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