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vredina [299]
2 years ago
5

What is the measure of GFH?

Mathematics
1 answer:
AnnZ [28]2 years ago
3 0

Answer:

295

Step-by-step explanation:

360-65=295

circle=360 degrees

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Carlos and Maria drove a total of 217 miles in 4.1 hours. Carlos drove the first part of the trip and averaged 52 miles per hour
VMariaS [17]
M = hours driven by Maria

c = hours driven by Carlos

since we know that Carlos was driving at an average of 52 mph, then in 1 hour he drove 52 miles, in 2 hours he drove 2*52 miles in "c" hours he drove c*52 miles or 52c.

Maria on the other hand is faster and does 54 mph, in 1 hour she does 1 * 54 miles, and on 2 hours she does 2 * 54 miles and in "m" hours she does m * 54 miles or 54m.

now, we know the total amount of miles they both drove is 217, so whatever "m" and "c" are we know that 54m + 52c = 217.

we also know it took 4.1 for the whole trip, so m + c = 4.1.

\bf \begin{cases}
m+c=4.1\implies \boxed{c}=4.1-m\\
54m+52c=217\\
-------------\\
54m+52\left( \boxed{4.1-m} \right)=217
\end{cases}
\\\\\\
54m-52m+213.2=217\implies 2m=3.8
\\\\\\
m=\cfrac{3.8}{2}\implies m=1.9

so Maria drove for 1.9 hours.

How many hours did Carlos drive for?  well, c = 4.1 - m.
4 0
3 years ago
Please also explain how you did it! Thank you
Tasya [4]

Answer:

66 degrees

Step-by-step explanation:

360 degrees in a circle

102 and 144 make up the circumference of LPN

LMN however is still to be determined... which is 360-(102+144) = 114

Therefore, LMN = 114 degrees. Using a thereom (I forget which one), the corresponding angle to LMN is LPN.

To find angle LPN (180-114) = 66

8 0
3 years ago
You must be at least 25 to rent a car ?
svlad2 [7]

Answer:

no, you have to be 18 or older

4 0
3 years ago
Read 2 more answers
Mike constructed a quadrilateral POQS. He used a compass and straightedge to accurately construct line segment OS, as shown in t
swat32
They've told us that "OS bisects angle POQ" which means that angle POQ would be double to amount of angle POS<span>so the answer would be D
</span><span>Measure of angle POS is 25 degrees, measure of angle POQ is 50 degrees</span>
4 0
2 years ago
Read 2 more answers
In this picture B,D and F are midpoints. AC = 50, CE=60 and BD=35 BF=
trapecia [35]
In this image Bf is equivalent to segment CD.


Answer: CD
8 0
3 years ago
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