Simply do 297500/350000 and you would get 85%
Answer:
x=47°
Step-by-step explanation:
..,........................
Answer:
C ) y + 3 = 1/4 ( x + 4 )
Explanation:
Given that you did not include the "given line", I can help you by explaning how to solve this kind of problems, step by step.
The procedure is based of the property of perpendicular lines: the product of the slopes of perpedicular lines is negative 1.
If you call m1, the slope of a line and m2 the slope of a perpendicular line, then:
m1 * m2 = - 1, and you can solve for either m1 or m2:
m1 = - (1 / m2)
m2 = - (1 / m1).
With that this is the procedure:
1) find the slope of the "given line". Name it m1.
2) find the slope of the perpendicular line:
m2 = - (1 / m1).
3) Use the equation of the line with the point (x1,y1) and slope m2
y - y1
-------- = m2
x - x1
4) In this case the point is (-4, - 3)=> x1 = - 4, y1 = - 3
=>
y - (-3)
---------= m2
x - (-4)
=> y + 3 = m2 * (x + 4)
=> y = m2*x + m2 * 4 - 3
Which is the point-slope form. You only have to replace m2 with the slope value of the perpendicular line, which I already explained that you find as m2 = (-1/m1).
Taking that the other line has m1 = - 4 so m2 = 1/4
y = (1/4)x + (1/4) * 4 - 3
y = (1/4) (x +4) - 3
y + 3 = (1/4) (x + 4) and answer is:
C ) y + 3 = 1/4 ( x + 4 )
Answer:
See explanation
Step-by-step explanation:
If
then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so

and

Angles 1 and 3 are supplementary, so

Angles 2 and 4 are supplementary, so

By substitution property,

Hence,

Consider triangles APX and BPY. In these triangles:
- given;
- given;
- proven,
so
by ASA postulate.
Congruent triangles have congruent corresponding sides, then

Therefore, triangle APB is isosceles triangle (by definition).
Answer: 2²/₃ pounds
Step-by-step explanation:
There are 8 pounds of fruit.
These are to be used to make 3 equal sized fruit salad.
The weights of each fruit salad will therefore be:
= Pounds of fruit/ Number of fruit salads
= 8 / 3
= 2²/₃ pounds