The measure of ∠ACB will be 110°
<u><em>Explanation</em></u>
According to the diagram below, and are the perpendicular bisectors of and respectively and they intersect side at points and respectively.
So, and
Now, <u>according to the postulate</u>, ΔAPE and ΔCPE are congruent each other. Also, ΔCFQ and ΔBFQ are congruent to each other.
That means, ∠PCE = ∠PAE and ∠FCQ = ∠FBQ
As ∠CPQ = 78° , so ∠PCE + ∠PAE = 78° or, ∠PCE = ° and as ∠CQP = 62° , so ∠FCQ + ∠FBQ = 62° or, ∠FCQ = °
Now, in triangle CPQ, ∠PCQ = 180°-(78° + 62°) = 180° - 140° = 40°
Thus, ∠ACB = ∠PCE + ∠PCQ + ∠FCQ = 39° + 40° + 31° = 110°
Answer:
5y
Step-by-step explanation:
Brainliest me pls
Have a nice day!
Answer:
$36
Step-by-step explanation:
The amount spent on cloths is 1/3
The amount earned from washing the car is $5
Amount at the end of the week is $29
Let the amount earned that week be x
Then amount spent on cloths = 1/3x
so the equation is
x- 1/3 x+$5=$29
2/3 x=29-5
2/3 x= 24
x=(24*3)/2= $36
Answer:
The root beer mug
Step-by-step explanation:
To known what vessels holds more root beer, we must find the volume (this is the holding capacity) of the two vessels. From the description given, the mug is a cylinder while the glass is a cone.
The volume V of a cylinder whose height is h and radius r may be found as
V = πr²h
The volume V of a cone with similar features
V = 1/3πr²h
Hence the volume of the mug shaped basically like a cylinder that is eight inches tall with a radius of three inches
= π * 3² * 8
= 72π Inches³
Given that the cone shaped bottle has a diameter of four inches, the radius r = 4/2
= 2 inches
Hence the volume of the bottle
= 1/3 * π * 2² * 18
= 24π Inches³
Based on comparison, the mug holds more root beer