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Lunna [17]
3 years ago
15

PLEASE HELP I NEED TO FINISH THIS!!!!! 98 POINTS!!!

Mathematics
1 answer:
muminat3 years ago
3 0
1. given
2. measure angle 1 plus measure angle 2 equals 90 degrees
3. B D bisects angle A D C
4. definition of angle bisector
5. definition of congruence
6. measure angle 1 is equal to measure angle 3
7. angle 1 is congruent to angle 3
7. definition of congruence
hope that helps
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How do I simplify this (sinx)/(secx+1)
pochemuha

Answer:

Step-by-step explanation:

\frac{sin~x}{sec~x+1} =\frac{sin~x}{\frac{1}{cos~x}+1  } =\frac{sin~x~cos~x}{1+cos~x} \\=\frac{sin~x~cos~x}{1+cos~x} \times \frac{1-cos~x}{1-cos~x} \\=\frac{sin~x~cos~x(1-cos~x)}{1-cos^2 x} \\=\frac{sin~x~cos~x(1-cos~x)}{sin^2x} \\=\frac{cos~x(1-cos~x)}{sin~x} \\=cos ~x(csc~x-cot~x)\\or\\=cot~x(1-cos~x)

6 0
3 years ago
The circumference (C) of a swimming pool is 47 feet. Which formula can you use to find the radius (r) if you know that C = 2πr ?
vodka [1.7K]
To find the formula to find radius, solve for r using the formula for circumference.

to solve:
1. divide each side by 2\pi
2. you get r = c/2\pi
5 0
3 years ago
Read 2 more answers
1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the
ipn [44]

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

v_1 = 60\ mph

Sheyna drives back from the lake with average speed of 36 mph

v_2 = 36\ mph

It took 2 hours less time to get there than it did to get back.

Let t_1 be the time taken to drive to lake.

Let t_2 be the time taken to drive back from lake.

t_2-t_1 = 2 hrs ..... (1)

To find:

Total time taken = ?

t_1+t_2 = ?

Solution:

Let D be the distance to lake.

Formula for time is given as:

Time =\dfrac{Distance}{Speed }

t_1 = \dfrac{D}{60}\ hrs

t_2 = \dfrac{D}{36}\ hrs

Putting in equation (1):

\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles

So,

t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs

t_2 = \dfrac{180}{36}\ hrs = 5\ hrs

So, the answer is:

t_1+t_2 = \bold{8\ hrs}

8 0
3 years ago
Consider the following. (Assume that the coins are distinguishable and that what is observed are the faces or numbers that face
Nataliya [291]

Answer:

a)  P(

b)  n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).

Step-by-step explanation:

From the question we are told that:

3 coin are tossed

Therefore

Sample space n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).

Generally the sets that correspond with the result of at most one tail is therefore given as follows

P(

Therefore

The result is at most one tail when

P(

7 0
2 years ago
A rectangle is drawn so that the width is 5 feet shorter than the length. the area of the rectangle is 36 square feet. find the
velikii [3]
 w x L  = 36 

w =  L- 5 

L x  ( L-5 ) = 36 

L^2 -5L -36 =0 

<span>Use the quadratic formula

L=  - b + radical b^2  - 4 (a)(c)  divided    2.a 

L= 5 + 13  / 2  = 18 /2  =9</span>
5 0
3 years ago
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