Answer:
m∡GHI = 21°
Step-by-step explanation:
Since the lines are intersecting, GHI and JHK are opposite angles, so they are the same measure.
That means you can set them equal to each other
x + 7 = 3x - 21
x = 14
Now plug x into GHI
14 + 7 = 21
m∡GHI = 21°
The length of CA is opposite of angle B and since the hypotenuse is known, you can write an equation like this: sin 40 = x/7 which simplifies to sin40 * 7 = x. The answer is A
<span>In triangle XYZ,
angle X=46 degrees,
XZ = 10 units and
YZ=8 units.
We will find the length of XY using cosine rule:
According to cosine rule:
a² = b² + c² - 2bc cosA (the figure is attached)
Here, A = 46 degree.
a = 8 units.
b <span>= ?
</span>c = 10 units.
</span>⇒ b² = c² - a² -2bc cosA
⇒ b² = 100 - 64 - 160*cos(46)
⇒ b² = 100 - 64 - 160*0.69
⇒ b² = 100 - 64 - 110.4
⇒ b² = 100 - 64 - 110.4
⇒ b² = 74.4
or b = 8.62 units.
or b = 8 untis approximately.
The answer is 13. You substitute the x in 2x+5 with 4, because x=4 here. That would give you 2(4)+5. 2(4) is 8, 8+5 is 13. Hope this helped!
Answer:
g(4) = -11
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = -2x - 3
x = 4
<u>Step 2: Evaluate</u>
- Substitute: g(4) = -2(4) - 3
- Multiply: g(4) = -8 - 3
- Subtract: g(4) = -11