Answer:
-24
Step-by-step explanation:
First, use the equation find the value of x. Then, substitutes the value of x into 9x+12.
Answer:
C≈61.89
C=3830.37
Step-by-step explanation:
A≈615.75
An angle bisector divides an angle into two equal halves.
The measure of angle
is 70 degrees
The complete question is an illustrates the concept of angle bisector;
Where:
, and line PC bisects ![\angle RPD](https://tex.z-dn.net/?f=%5Cangle%20RPD)
Because line PC bisects
, then it means that the measure of RPD is twice the measure of CPD:
So, we have:
![\angle RDP = 2 \times \angle CPD](https://tex.z-dn.net/?f=%5Cangle%20RDP%20%3D%202%20%5Ctimes%20%5Cangle%20CPD)
Substitute ![\angle RPD = 140^o](https://tex.z-dn.net/?f=%5Cangle%20RPD%20%3D%20140%5Eo)
![140^o = 2 \times \angle CPD](https://tex.z-dn.net/?f=140%5Eo%20%3D%202%20%5Ctimes%20%5Cangle%20CPD)
Divide both sides by 2
![70^o = \angle CPD](https://tex.z-dn.net/?f=70%5Eo%20%3D%20%5Cangle%20CPD)
Apply symmetric property of equality:
![\angle CPD = 70^o](https://tex.z-dn.net/?f=%5Cangle%20CPD%20%3D%2070%5Eo)
Hence, the measure of angle
is 70 degrees
Read more about angle bisectors at:
brainly.com/question/12896755
The equation
can be used to find the measure of ∠BAC ⇒ 2nd answer
Step-by-step explanation:
Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle
The trigonometry ratios of the ∠BAC, the opposite side to this angle is BC and the adjacent side to it is AB are
In Δ ABC
∵ ∠ BCA is a right angle
∴ The hypotenuse is AB
∵ The adjacent side to ∠CAB is AC
∵ The opposite side to ∠CAB is BC
∵ AB = 13 units ⇒ hypotenuse
∵ CB = 12 units ⇒ opposite
∵ AC = 5 units ⇒ adjacent
- Let us find the trigonometry ratios of angle BAC
∵ m∠CAB is x
∵ ![sin(x)=\frac{BC}{AB}](https://tex.z-dn.net/?f=sin%28x%29%3D%5Cfrac%7BBC%7D%7BAB%7D)
∴ ![sin(x)=\frac{12}{13}](https://tex.z-dn.net/?f=sin%28x%29%3D%5Cfrac%7B12%7D%7B13%7D)
∴ ![x=sin^{-1}(\frac{12}{13})](https://tex.z-dn.net/?f=x%3Dsin%5E%7B-1%7D%28%5Cfrac%7B12%7D%7B13%7D%29)
∵
∴ ![cos(x)=\frac{5}{13}](https://tex.z-dn.net/?f=cos%28x%29%3D%5Cfrac%7B5%7D%7B13%7D)
∴ ![x=cos^{-1}(\frac{5}{13})](https://tex.z-dn.net/?f=x%3Dcos%5E%7B-1%7D%28%5Cfrac%7B5%7D%7B13%7D%29)
∵
∴
∴ ![x=tan^{-1}(\frac{12}{5})](https://tex.z-dn.net/?f=x%3Dtan%5E%7B-1%7D%28%5Cfrac%7B12%7D%7B5%7D%29)
The equation
can be used to find the measure of ∠BAC
Learn more:
You can learn more about the trigonometry ratios in brainly.com/question/4924817
#LearnwithBrainly
The answer is A
1 1/2 *2 *1 1/2 = 4.5 or 4 1/2