Step-by-step explanation:
4y-10 and 3x are supplementary angles
so 4y-10+3x=180° (1)
4y-10 and 9x+12 are alternate exterior angles and because we have two parallel lines then these angles are congruent.
so 4y-10=9x+12 (2)
so we have
(1) 4y+3x=180+10
(2) 4y-9x=12+10
(1) 4y=190-3x
we replace this equation to the second equation
190-3x-9x=22
190-22=9x+3x
168=12x
x=168/12
x=14
4y =190-3*(14)=190-42=148
y=148/4=37
3x=3*14=42°
4y-10=4*37-10=148-10=138°
9x+12=9*14+12=126+12=138°
Given :
A 2.8 m ladder is to be laid against a wall so that the top of the ladder is 2 m up the wall.
To Find :
How far out from the base of the wall should the ladder be placed.
Solution :
We know, the angle between floor and height is 90° .
Now, length of ladder, l = 2.8 m .
Height of wall, h = 2 m .
Let, distance between base of the wall and ladder is b .
Hence, this is the required solution.
Square root of 36 = +/-6 so square root of 0.36 is +/0.6
9514 1404 393
Answer:
opposite sides have the same slope, so it is a parallelogram
Step-by-step explanation:
A parallelogram has opposite sides that are parallel. Here, one pair of opposite sides consists of horizontal lines. Both have zero slope, so are parallel.
The other pair of lines each has a "rise" of 3 units for each "run" of 2 units, so the lines have a slope of 3/2. Both lines have the same slope, so are parallel.
Since opposite sides are parallel, the figure is a parallelogram.
A. 79
The inscribed angle is always 1/2 of the arc.
In this case angle RST is the inscribed angle and arc RT is the arc
The arc is 158
Inscribed angle=.5arc
Inscribed angle=.5(158)
Inscribed angle=79