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Rina8888 [55]
3 years ago
9

In the figure, m∠B = m∠C and ∠D is a right angle. cos B =

Mathematics
2 answers:
Rasek [7]3 years ago
5 0

Answer: The correct option is (a), i.e., cos B= sin A.

Explanation:

It is given that the ∠B = ∠C and ∠D is a right angle.

Since two corresponding angles of both triangles are same, so by angel sum property three angles are also equal. Therefore by AAA rule both triangles are similar.

It is given that,

\angle B=\angle C

\cos B=\cos C

Using angle sum property angle C is written as,

\cos B=\cos (180-\angle D-\angle A)

\cos B=\cos (180-90-\angle A)

\cos B=\cos (90-\angle A)

By using quadrant concepts.

\cos B=\sin A

Therefore option A is correct.

iren2701 [21]3 years ago
3 0

Answer:

<u><em>cos B = sin A</em></u>

Step-by-step explanation:

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A bus leaves Los Angeles at 8am moving northeast at 60 mph. Three hours later, a truck leaves the same place traveling 1 2/3 tim
love history [14]

Answer:

7.5 hours

Step-by-step explanation:

Using the variable 't' for time, you can set up an equation to find out how long it will take the truck to catch up to the  bus.  Since the bus is traveling at 60mph and the truck is traveling 1 2/3 times faster, we need to first find the rate of the truck:

1\frac{2}{3}=\frac{5}{3}

\frac{60}{1}*\frac{5}{3}=\frac{300}{3}=100mph

Using 't' and the knowledge that they will have traveled the same distance we the truck catches up to the bus and the fact that the truck left 3 hours later:

60t = 100(t - 3)  or 60t = 100t - 300

Solve for 't':  60t - 100t = -300 or -40t = -300  so, t = 7.5 hours

5 0
3 years ago
Read 2 more answers
Me pueden ayudar en esto por favor​
Whitepunk [10]

Answer:

2cm: 6.28

4cm: 12.56

6cm: 18.84

8cm: 25.12

10cm: 31.4

12cm: 37.68

Step-by-step explanation:

3 0
3 years ago
Adam spent $3.42 on orange juice. It costs .12 per ounce. How many did Adam buy?
SIZIF [17.4K]
Hi, 


 I would say that the answer is 28, but it still doesn't add up because when you multiply 12 by 28 you get $3.36 which isn't enough to meet his total, so I tried multiplying 12 by 29 and I got $3.48, which is six cents over his total. So I'm sorry if it is wrong I tried to help to my best ability.

I hope it helps, have a great day/night!!!
5 0
3 years ago
If EF = 4x-15, FG=3x-7, and EG =20, find the value of x, EF and FG. The drawing is not to scale.
Andrej [43]

Step-by-step explanation:

EF = 4x - 15

FG = 3x - 7

EG = EF + FG = 20

so,

4x - 15 + 3x - 7 = 20

7x - 22 = 20

7x = 42

x = 6

EF = 4×6 - 15 = 9

FG = 3×6 - 7 = 11

4 0
2 years ago
Jane read 3/8 of a book for 6 days. How many books did she read?
otez555 [7]

Hey there!

The answer to your question is 2 \frac{1}{4} books.

To solve this, we must multiply \frac{3}{8} by 6

\frac{3}{8} *\frac{6}{1}=\frac{18}{8} =2\frac{1}{4}

Hope it helps! Have a great day!

7 0
3 years ago
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