Answer:
Therefore the distance across the patch of swamp water is 50 ft
Step-by-step explanation:
Given:
VW = 100 ft
WX = 60 ft
XZ = 30 ft
To Find:
ZY = l = ?
Solution:
In Δ VWX and Δ YZX
∠W ≅ ∠ Z …………..{measure of each angle is 90° given}
∠VXW ≅ ∠YXZ ..............{vertically opposite angles are equal}
Δ ABC ~ Δ DEC ….{Angle-Angle Similarity test}
If two triangles are similar then their sides are in proportion.
On substituting the given values we get
Therefore the distance across the patch of swamp water is 50 ft
Answer:
The coldest temperature would be -4 °F, because it is the farthest number on the left side of zero on the number line.
Answer:
See attached picture.
Step-by-step explanation:
To graph the equation, use the slope intercept form of the line to identify the slope and y-intercept.
y = -x + 1 y = mx+b
m=-1 and b=1
This means start at 1 on the y-axis and plot a point. From this point (0,1), move down 1 unit and to the right 1 unit. Plot this point (0,1). Connect the two points.
Answer:
1 5/6
Step-by-step explanation:
We first convert each mixed number to an improper fraction.
To change -6 7/8, we will ignore the negative at first. Multiply the whole number by the denominator:
6(8) = 48
Add the numerator:
48+7 = 55
Putting the negative back in, we have -55/8.
To change -3 3/4, ignore the negative at first. Multiply the whole number by the denominator:
3(4) = 12
Add the numerator:
12+3 = 15
Putting the negative back in, we have -15/4.
This gives us
-55/8 ÷ -15/4
To divide fractions, flip the second one and multiply:
-55/8 × -4/15
Multiply straight across:
(-55×-4)/(8×15) = 220/120
Simplifying this, we know that both 220 and 120 are divisible by 10; this gives us
22/12
Both 22 and 12 are even, so they are both divisible by 2. This gives us
11/6
6 will go into 11 one time, with 5 remaining; this gives us
1 5/6