How to get answer by Mimiwhatsup:
6(12m+12b−2b)
=(6)(12m+12b+−2b)
=(6)(12m)+(6)(12b)+(6)(−2b)
=72m+72b−12b
=60b+72m
Simplify the ratio 8 to 2 to be 4 to 1
Now compare 4 to 1 and 10 to 1
4 is smaller than 10 so the ratio 8 to 2 is smaller.
<span>Given: Rectangle ABCD
Prove: ∆ABD≅∆CBD
Solution:
<span> Statement Reason
</span>
ABCD is a parallelogram Rectangles are parallelograms since the definition of a parallelogram is a quadrilateral with two pairs of parallel sides.
Segment AD = Segment BC The opposite sides of a parallelogram are Segment AB = Segment CD congruent. This is a theorem about the parallelograms.
</span>∆ABD≅∆CBD SSS postulate: three sides of ΔABD is equal to the three sides of ∆CBD<span>
</span><span>Given: Rectangle ABCD
Prove: ∆ABC≅∆ADC
</span>Solution:
<span> Statement Reason
</span>
Angle A and Angle C Definition of a rectangle: A quadrilateral
are right angles with four right angles.
Angle A = Angle C Since both are right angles, they are congruent
Segment AB = Segment DC The opposite sides of a parallelogram are Segment AD = Segment BC congruent. This is a theorem about the parallelograms.
∆ABC≅∆ADC SAS postulate: two sides and included angle of ΔABC is congruent to the two sides and included angle of ∆CBD
Delete as this is the wrong answer. Made a typo in the answer.
Answer:
x = 
y = 24
Step-by-step explanation:
-3x - 8y = 20 .... (1)
-5x + y = 19 .... (2)
What we can do is take the (2) equation
-5x + y = 19
and solve for y by adding 5x to both sides
y = 24
now that we have y we substitute it in for y in equation (1)
-3x - 8(24) = 20
-3x - 192 = 20
we want to solve for x so we need to get its self.
add 192 to both sides
-3x = 212
now we divide both sides by -3. It's going to be a fraction.
x =
Solution:
<u>Note that:</u>
- 1 min = 60 sec
- 1 h = 60 min.
<em>The given time is in seconds. Convert it into minutes by dividing it by 60.</em>
- => 25,200 seconds = 25,200 ÷ 60 minutes = 420 minutes
<em>The obtained time is in minutes. Convert it into hours by dividing it by 60.</em>
- => 420 minutes = 420 ÷ 60 hours = 7 hours
<u>We can conclude that:</u>
- 25,200 seconds = 420 minutes = 7 hours
