What is the measure of <1 in the figure when <5=65°?

Mathematics

1 answer:

lianna [129]3 years ago

3 0

Answer:

65°

Step-by-step explanation:

because the angle 5 and angle 1 lies on a set of parallel lines, and they both are corresponding angles.

And corresponding angles are equal for parallel lines. 

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Jeannette has $5 and $10 bills in her wallet. the number of fives is three more than six times the number of tens. let t represe

sergejj [24]

Use the expression:

f=fives

t=tens

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3 0

3 years ago

Write the equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6)

Lady bird [3.3K]

Answer (assuming it can be in slope-intercept form):

$y = -2x +10$

Step-by-step explanation:

1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula $y = mx + b$ . Isolate y:

$2x + y = 3\\y = -2x + 3$

The number in place of $m$ , or the coefficient of the x-term, represents the slope of the equation. So, the slope of the given equation is -2.

Lines that are parallel share the same slope. So, the slope of the new equation will be -2 as well.

2) Now, remember that the slope-intercept form is represented by the formula $y = mx + b$ . In order to write an equation of a line using that formula, we need to substitute values for $m$ and $b$ . We know $m$ is the slope, so we already know what that equals. Now, we just need to find $b$ .

To do that, substitute -2 for $m$ in the slope-intercept formula. Additionally, substitute the x and y values of the point (2,6) for the x and y in the formula as well. This sets up the equation so that we can isolate $b$ and find its values:

$y = mx +b\\6 = (-2)(2)+b\\6 = -4 + b\\10 = b$