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bogdanovich [222]
2 years ago
15

Help w hs geometry pls

Mathematics
1 answer:
Komok [63]2 years ago
4 0

Answer:

63°

Step-by-step explanation:

  • m\angle BKD =\frac{1}{2}(m\widehat {AE} +m\widehat {BD} )

  • \implies m\angle BKD =\frac{1}{2}(86\degree +40\degree)

  • \implies m\angle BKD =\frac{1}{2}(126\degree)

  • \implies m\angle BKD =63\degree
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How many different ways can teams of four members be formed from a class of 20?
guapka [62]
Assuming you want to choose 4 people from the class of 20; 

Begin by using the combinations formula; 

20C4=4845 possibilities 

Hope I helped :) 
4 0
3 years ago
Log4 x + log4 (x – 3) = 1 Solve the equation.
Natasha_Volkova [10]

Answer:

x is EQUIVALENT to 2.89

Step-by-step explanation:

7 0
3 years ago
The archway to the entrance of an art gallery can be model by y= -1/3(x-5)(x+5) where x and y are measured in feet. The x-axis r
NikAS [45]

Answer:

x=5 feet

Step-by-step explanation:

At floor level y=0

If the expression is:

0=1/3(x-5)(x+5)\\0=1/3(x^2-25)\\0=1/3x^2-25/3\\25/3=1/3x^2\\25=x^2\\x=5

But, with the negative sign, the answer is x= 5i (where i is imaginary)

3 0
3 years ago
The distance traveled by a certain vehicle varies directly to the amount of fuel the vehicle consumes. The vehicle traveled 90 m
olga_2 [115]

Answer:

The vehicle covers 126 miles on 7 gallons of fuel.

Step-by-step explanation:

Given:

The distance traveled is directly proportional to the amount of fuel.

For F gallons of fuel distance traveled D miles can be given as:

D ∝ F

D=kF

where k is constant of proportionality.

The vehicle covers D=90 miles on F=5 gallons.

So

90=k(5)

Dividing both sides by 5.

\frac{90}{5}=\frac{k(5)}{5}

18=k

∴ k=18

When F=7 gallons

D=(18)(7)

D=126 miles

∴ The vehicle covers 126 miles on 7 gallons of fuel.

4 0
3 years ago
The cost of 7 chairs and 2 tables is equal.If the cost of 6 chairs and 5 tables is 10575, find the cost of 12 chairs.​
Igoryamba

Answer:

5400

Step-by-step explanation:

Let x represent the cost of a chair and y represent the cost of a table. We can use this to set up a system of equations:

7x=2y

6x+5y=10575

We can solve this system using substitution.

Start by rewriting the first equation in terms of x.

7x=2y\\\text{Divide both sides by 7}\\x=\frac{2}{7}y

Substitute this into the second equation:

6(\frac{2}{7}y)+5y=10575\\\frac{12}{7}y+5y+10575\\\frac{12}{7}y+\frac{35}{7}y=10575\\\frac{47}{7}y=10575

Multiply both sides by 7

47y=74025

Divide both sides by 47

y=1575

This means...

7x=2(1575)\\7x=3150

Divide both sides by 7

x=450

One chair costs 450. Now, multiply this number by 12 to find the cost of 12 chairs.

450*12=5400

12 chairs cost 5400.

7 0
2 years ago
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