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mamaluj [8]
3 years ago
5

The measure of angle 1 is 30°, and the measure of angle 2 is 110°.

Mathematics
2 answers:
Luda [366]3 years ago
5 0
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

Angle 4 is an exterior angle of the triangle.
Angles 1 and 2 are the remote interior angles of angle 4.


m<4 = m<1 + m<2

m<4 = 30 deg + 110 deg

m<4 = 140 deg
Doss [256]3 years ago
5 0
The sum of all angles in a triangle is 180°.
\alpha  = 30  \\  \beta  = 110 \\   \alpha  +  \beta  +  \gamma  = 180 \\ 30 + 110 +  \gamma  = 180 \\  \gamma  = 180 - 30 - 110 \\  \gamma  = 40
Since the angles 3 and 4 form an extended angle we need to subtract the angle 3 from 180°.
Why 180°? An extended angle is 180°
180  =  \gamma + angle4 \\ angle4 = 180 -  \gamma  \\ angle4 = 180 - 40 \\ angle4 = 120
So angle4 = 120°
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From m2 + 5m - 7 subtract m2 - 3m 4. A) 8m - 3 B) 2m - 11 C) 2m2 + 2m - 11 D) 2m2 + 8m - 11
Darina [25.2K]
The answer is:  [A]:  " 8m − 3 " .
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Explanation:
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(m² + 5m − 7) − (m² − 3m − 4) =

    (m² + 5m − 7) − 1(m² − 3m − 4)  =

     (m² + 5m − 7) − 1m²  + 3m + 4) =

m² + 5m − 7 − m²  + 3m + 4 ;
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Now, combine the "like terms" :
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m² − m² = 0 (cancel out).

+5m +3m = +8m ;

− 7 + 4 = -3 ;
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And we are left with:
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 " 8m − 3 " ;  which is: Answer choice:  [A] .
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8 0
3 years ago
A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has traveled 936 ft. Write a linear f
Ahat [919]

Answer:

Buenos días;

1) La ecuación de la velocidad en un movimiento uniformemente acelerado (M.U.A) es:

V=V₀+at.

V=30 m/s-2 m/s².t

Ahora elimina las unidades (m/s, m/s₂), y tendrás la ecuación de la velocidad en función del tiempo.  

V(t)=30-2t.

Sol: la ecuación de la velocidad en función del tiempo es : V(t)=30-2t.

2) La ecuación de la posición en función del tiempo en un M.U.A  es:

X=X₀+V₀.t+(1/2).a.t²

X=0+30 m/s.t+(1/2).(-2 m/s²).t²

Eliminas las unidades, y tendrás la ecuación de la posición en función del tiempo.

X(t)=30.t-t².

Sol: la ecuación de la posición en función del tiempo es: X(t):30t-t²

Un saludo.

Step-by-step explanatio:g

5 0
3 years ago
Read 2 more answers
Please help i really don’t understand what to do for this problem
Ipatiy [6.2K]

Answer:

Slope = 6.25

Y-intercept = 8.50 or 8.5

Equation: y = 6.25x + 8.50 or y = 6.25x + 8.5

Proportional = No

Step-by-step explanation:

The slope is also the rate of change and the question states that Kayla earned $6.25 an hour. So your slope also known as rate of change is 6.25.

Your y-intercept is the starting point and in the question it states that Kayla received $8.50 in tips. So your y-intercept also known as starting point is $8.50.

The Equation is meant to be set-up like this:

y = mx + b which is y = slope + y-intercept

Since $6.25 is our slope and $8.50 is our y-intercept lets arrange it:

y = 6.25x + 8.50

A proportional graph is a graph that has the line drawn from the equation going through the origin which is (0,0) the middle intersection between the y and x line. So with that being said the graph is not proportional because it doesn't go through the origin.

How do I know this?

I know this because the starting point in the equation that I graph is 8.50 or 8.5 and it does not start from (0,0) or 0 so it does not cross the (0,0) point.  

4 0
3 years ago
Read 2 more answers
What are the coordinates of the poitn(-3,0) after a translation of 2 units up?
dmitriy555 [2]

Answer:

(-3,2)

Step-by-step explanation:

Translate 2 units up means add 2 to the y coordinate.

7 0
2 years ago
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X=7 and y=4 are the correct equations
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