Answer:
A. 1
B. 
.
Step-by-step explanation:
We have been given an equation of a line 
.
A. We know that slope of parallel lines is always equal,
We can see that slope of our given line is 1, therefore the slope of the line parallel to our given line would be 1.
B. We know that the product of slopes of two perpendicular lines is .
Let m represent slope of perpendicular to our given line, then:
Therefore the slope of the line perpendicular to our given line would be .
Answer:
9 < x
Step-by-step explanation:
5x - 47< 3(12x - 108) – 2
Distribute
5x - 47< 36x - 324 – 2
Combine like terms
5x - 47< 36x-326
Subtract 5x from each side
5x-5x - 47< 36x-5x-326
- 47< 31x-326
Add 326 to each side
326 - 47< 31x-326+326
279 < 31x
Divide by 31 on each side
279/31 < 31x/31
9 < x
Answer:
50°
Step-by-step explanation:
As usual, the diagram is not drawn to scale.
The chord divides the circle into two arcs that have a sum of 360°. If we let "a" represent the measure of the smaller arc, then we have ...
a + (a+160°) = 360°
2a = 200° . . . . . . . . . . . subtract 160°
a = 100°
The measure of the angle at A is 1/2 the measure of the subtended arc:
acute ∠A = a/2 = (1/2)·100° = 50°
_____
<em>Comment on this geometry</em>
Consider a different inscribed angle, one with vertex V on the circle and subtending the same short arc subtended by chord AB. Then you know that the angle at V is half the measure of arc AB. This is still true as point V approaches (and becomes) point A on the circle. When V becomes A, segment VA becomes tangent line <em>l</em>, and you have the geometry shown here.
Answer: The fraction of the gifts were for birthdays = 
.
Step-by-step explanation:
Given: fraction of gifts for weddings = 
fraction of gifts for baby showers = 
Rest of the gifts = 
![=\dfrac{100-30-37}{100}\ \ \ [\text{Making like fractions}]\\\\=\dfrac{100-67}{100}\\\\=\dfrac{33}{100}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B100-30-37%7D%7B100%7D%5C%20%5C%20%5C%20%5B%5Ctext%7BMaking%20like%20fractions%7D%5D%5C%5C%5C%5C%3D%5Cdfrac%7B100-67%7D%7B100%7D%5C%5C%5C%5C%3D%5Cdfrac%7B33%7D%7B100%7D)
Hence, the fraction of the gifts were for birthdays = .
Answer:
36
Step-by-step explanation:
u need 12 to make 4 bracelets
4 bracelets x 3 = 12 bracelets
12 beads x 3 = 36 beads
