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2 years ago

Thank you for the help guys! Find m ABC

Mathematics

1 answer:

Akimi4 [234]2 years ago

4 0

Vertical angles are equal

7x - 19 = 4x + 2
7x - 4x = 2 + 19
3x = 21
x = 21/3
x = 7

m∠ABC = 4x + 2 = 4*7 + 2 = 28 + 2 = 30°

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Show with work please.

kolbaska11 [484]

Answer:

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

Step-by-step explanation:

The identity you will use is:

$\csc \left(x\right)=\frac{1}{\sin \left(x\right)}$

So,

$\csc \left(\theta-\frac{\pi }{2}\right)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{\sin \left(-\frac{\pi }{2}+\theta\right)}$

Now, using the difference of sin

Note: state that $\text{sin}(\alpha\pm \beta)=\text{sin}(\alpha) \text{cos}(\beta) \pm \text{cos}(\alpha) \text{sin}(\beta)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)}$

Solving the difference of sin:

$-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)$

$-\cos \left(\theta\right) \cdot 1+0\cdot \sin \left(\theta\right)$

$-\text{cos} \left(\theta\right)$

Then,

$\csc \left(\theta-\frac{\pi }{2}\right)=-\frac{1}{\cos \left(\theta\right)}$

Once

$\text{sec}(-\theta)=\text{sec}(\theta)$

And, $\text{sec}(\theta)=-0.73$

$-\frac{1}{\cos \left(\theta\right)}=-\text{sec}(\theta)$

$-\frac{1}{\cos \left(\theta\right)}=-(-0.73)$

$-\frac{1}{\cos \left(\theta\right)}=0.73$

Therefore,

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

3 0

2 years ago

If three sides of a triangle are represented by three consecutive odd numbers and the perimeter is 75cm.Find the length of the s

In-s [12.5K]

I hope this helps you

8 0

2 years ago

Your baking cupcakes for the school dance, and your recipe makes 24 cupcakes and needs 2 cups of milk. You need to make 288 cupc

kow [346]

You would need 6 quarts of milk. You would do 24(2) then you take 48 and divide it by 288 and you get 6.

6 0

2 years ago

Read 2 more answers

Choose the more precise measurement. A) 32.5 lb B) 28.35 lb *

s2008m [1.1K]

Answer:

B is the answer

Step-by-step explanation:

I hope it will help u (◕ᴗ◕✿)

8 0

2 years ago

Si un número divisible entre 3 también es divisible entre 6

Ksivusya [100]

Answer:

es verdad pero 3 nomas puede ser dividido por 3 o 1

Step-by-step explanation:

3 0

2 years ago