Answer:
17
Step-by-step explanation:
m<1 = (4x + 2)
m<3 = (5x - 15)
To find the value of x, we need to generate an equation.
<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:
m<1 = m<3
(4x + 2) = (5x - 15)
Use this equation to solve for x
4x + 2 = 5x - 15
Subtract 5x from both sides
4x + 2 - 5x = 5x - 15 - 5x
-x + 2 = -15
Subtract 2 from both sides
-x + 2 - 2 = -15 - 2
-x = -17
Divide both sides by -1
x = 17
The answer is 46°.
The measure of an inscribed angle is equal to (1/2) the measure of the intercepted arc.
That means that, since ADC is 23 degrees, doubling that gives you 46 degrees, the measure of the intercepted arc.
Central angles are equal to the measure of the intercepted arc, which in this case is the same arc we just calculated.
Therefore it's 46.
Yes it is right because you are measuring by either the base to height or length times width
From point A, draw a line segment at an angle to the given line, and about the same length. The exact length is not important. Set the compasses on A, and set its width to a bit less than one fifth of the length of the new line. Step the compasses along the line, marking off 5 arcs. Label the last one C. With the compasses' width set to CB, draw an arc from A just below it. With the compasses' width set to AC, draw an arc from B crossing the one drawn in step 4. This intersection is point D. Draw a line from D to B. Using the same compasses' width as used to step along AC, step the compasses from D along DB making 4 new arcs across the line. Draw lines between the corresponding points along AC and DB. Done. The lines divide the given line segment AB in to 5 congruent parts.
Answer:
87: y = 5
88: y = 0
89: y = -2
90: y = -1/2x + 9
91: y = 2x - 16
92: y = x - 11
Step-by-step explanation:
To find the slope(m): (y1 - y2)/(x1 - x2)
To find the y-intercept:
y = mx + b
Replace m with the slope and x and y with one of the sets of coordinates. Then simplify to get the y-intercept. Use the equation y = mx + b and replace m with the slope and b with the y-intercept to get the equation.
(Sorry if this is a little confusing.)
