Answer:
B = 50°
Step-by-step explanation:
Because all the angles in every triangle added together equals 180°, you would divide m∠CAB (62°) by 2, giving you 31°, then add the 99° to the 31°, and you have 130°, and just by looking at it, you can see that the ∠ABD =50°
Hope this helps :)
I beleive the answer is B
Answer:
Before Tax: $240
After Tax: $259.20
Step-by-step explanation:
If we are trying to find the original price then here:
216/1.08 = 200
This took away the tax now we need to take away the discount:
200 x 1.2 = 240
Before Tax: $240
After Tax: $259.20
AB = 6 cm, AC = 12 cm, CD = ?
In triangle ABC, ∠CBA = 90°, therefore in triangle BCD ∠CBD = 90° also.
Since ∠BDC = 55°, ∠CBD = 90°, and there are 180 degrees in a triangle, we know ∠DCB = 180 - 55 - 90 = 35°
In order to find ∠BCA, use the law of sines:
sin(∠BCA)/BA = sin(∠CBA)/CA
sin(∠BCA)/6 cm = sin(90)/12 cm
sin(∠BCA) = 6*(1)/12 = 0.5
∠BCA = arcsin(0.5) = 30° or 150°
We know the sum of all angles in a triangle must be 180°, so we choose the value 30° for ∠BCA
Now add ∠BCA (30°) to ∠DCB = 35° to find ∠DCA.
∠DCA = 30 + 35 = 65°
Since triangle DCA has 180°, we know ∠CAD = 180 - ∠DCA - ∠ADC = 180 - 65 - 55 = 60°
In triangle DCA we now have all three angles and one side, so we can use the law of sines to find the length of DC.
12cm/sin(∠ADC) = DC/sin(∠DCA)
12cm/sin(55°) = DC/sin(60°)
DC = 12cm*sin(60°)/sin(55°)
DC = 12.686 cm
We are given that:
The skateboard park is located at the point (-3,5),
the ice cream shop is located at the point (-3,6),
and the comic book store is located at (4,6).
We are also given that the four coordinates forms a rectangle.
Here we already have two matching x- coordinates as -3 and y coordinates as 6.
Now we must have two matching x and y coordinates too.
As shown in figure , if we have the last coordinate as (4,5), it will complete the rectangle.
So answer is option B) (4,5) is the last coordinate at which his best friend lives.
