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soldier1979 [14.2K]
3 years ago
10

Geometric proofs Can someone explain how to do number 1? It would really help

Mathematics
1 answer:
PtichkaEL [24]3 years ago
5 0
1) given
2) def of midpoint
3) substitution property of equality

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Bob constructed an equilateral triangle PQR as shown. He then drew a straight line ST THROUGH POINT P. Determine the sum of the
prohojiy [21]

The answer would be 120 because point p is 60 degrees, since the triangle is an equilateral triangle. Then you would do 180-60, which is 120.

4 0
3 years ago
Stu trained for a triathlon for 5 hours yesterday. He ran 5 miles and then biked 80 miles. His biking speed is 15 mph faster tha
lara31 [8.8K]

Answer:

Step-by-step explanation:

Given as :

The distance cover while running = D_1 = 5 miles

Let The speed for running = S_1

The distance cover with bike = D_2 = 80 miles

The speed for biking = S_2 = 15 mph +  S_1

Total Time taken = 5 hours

Now Time = \dfrac{\textrm Distance}{\textrm Speed}

∴ 5 hour = \frac{D_1}{S_1} +  \frac{D_2}{S_2}

Or,  5 hour = \frac{5}{S_1} +  \frac{80}{15+S_1}

Or, 5 hour = \frac{75 + 5 S_1 + 80 S_1}{S_1(15+S_1)}

or,  5 × (S_1^{2}+15 S_1) = 85 S_1 + 75

Or, 5 S_1^{2} + 75 S_1 -  85 S_1 - 75 = 0

or, 5 S_1^{2} -10 S_1 - 75 = 0

or,   S_1^{2} -2 S_1 - 15 = 0

Or, S_1^{2} -3 S_1 + 5 S_1- 15 = 0

Or, S_1 (S_1 - 3) + 5 (S_1 - 3) = 0

Or, (S_1 - 3) ( S_1 + 5 ) = 0

∴ S_1 = 3 , - 5

So, the running speed = 3 mile per hour

And the biking speed = 15 mph + 3 mph = 18 mile per hour

Hence The running speed of Stu is 3 mile per hour  .  Answer

7 0
3 years ago
Two liquids Kaylin mixed two liquids for science experiment one container had 7/8 Cup and the other health 9/10 cup what is the
seraphim [82]

Answer:

Step-by-step explanation:

<em>Step 1: Determine quantity per liquid</em>

liquid 1=7/8 cup

liquid 2=9/10 cup

<em>Step 2: Derive expression to calculate total amount of mixture</em>

The expression below can be derived;

T=a+b

where;

T=total amount of mixture

a=total amount of liquid 1

b=total amount of liquid 2

In our case;

a=7/8 cup

b=9/10 cup

replacing;

T=(7/8)+(9/10)=1 31/40 cups

The total amount of mixture=1 31/40 cups

3 0
3 years ago
PLEASE HELP IM GIVING 5 STAR RATINGS
erica [24]

Answer:

a. 5 + 2m

b. 5m

c. 40m + 35

Step-by-step explanation:

5 0
3 years ago
Helen had Php7500 for shopping money. When she got home, she had Php132.75 in her pocket. How much did she spend for shopping?
Nataly_w [17]

Answer:

Step-by-step explanation:

Helen had Php7500 for shopping money

she had Php132.75 in her pocket

she spend= 7500.00-132.75

=7367.25answer

4 0
3 years ago
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