Answer:
Tony run 19.5 km last week, so he must have run 0.5 km more, to complete 20km run last week.
Step-by-step explanation:
Distance Tony ran last week are
6.25 km
4 km 750 m
872 km (<em>Note: This would be 8 </em>
<em> km and not 872 km</em>)
We will add all the distances to check if they sum up to 20km or not.
First we will convert 4 km 750 m into km
We know that 1000 m = 1 km
So, 1 m = 1/1000 km
750 m = 750/1000 = 0.75 km
Now 4km + 0.75 km = 4.75 km
So, 4 km 750 m = 4.75 km
and 8 km = 8.5 km
Now, finding Distance covered by Tony during last week = 6.25 km + 4.75 km + 8.5 km
= 19.5 km
So, Tony run 19.5 km last week, so he must have run 0.5 km more, to complete 20km run last week.
Let
x = measure of the angle
y = measure of the supplement
By definition of supplementary, the two angles add to 180 degrees, so
x+y = 180
This is the first equation.
The second equation is y = 3x-16 since we're given the info that "the supplement is 16 degrees less than three times the angle"
--------------------------
The system of equations is
x+y = 180
y = 3x-16
Focus on the first equation x+y = 180, plug in y = 3x-16, and solve for x
x+y = 180
x+3x-16 = 180 ... y is replaced with 3x-16
4x-16 = 180
4x-16+16 = 180+16
4x = 196
4x/4 = 196/4
x = 49
Because x = 49, we can use this to find y
y = 3x-16
y = 3*49-16
y = 147 - 16
y = 131
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Final Answers:
The measure of the angle is 49 degrees
The measure of the supplement is 131 degrees
Answer:look at the photo
Step-by-step explanation:
The scale factor of the dilation from ABCD to A′B′C′D′ is 3.
Step-by-step explanation:
Step 1:
In the pre-image ABCD, the length of one of the sides is given as 14 units.
For the other shape A′B′C′D′, the same side as the previous shape is given as 8 units.
Step 2:
To determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In this case, it is the given length of the sides CD and C′D′.
So the scale factor = 
So the shape ABCD is dilated by a scale factor of 
to produce the shape A′B′C′D′.
6/5=6+0.5=6+½+=6½
6½ is the answer
