Step-by-step answer:
This is a problem involving subtraction of fractions.
To solve the problem, we find out the increase of the fraction of container and equate it to the amount of water added. Then we find the amount of water contained in the whole container (fraction = 1)
7 gallons = 4/5 - 3/10 = 8/10 - 3/10 =5/10 = 1/2 container
therefore, multiply by two on both sides,
14 gallons = 1 container
So container can hold 14 gallons.
Answer:
Step-by-step explanation:
step 1
Find the radius of the circle
Remember that AB is a tangent to the circle at point B
so
AB is perpendicular to OA
The radius of the circle is equal to the segment OA
In the right triangle OAB
substitute the values
step 2
Find the value of p
In the right triangle OPQ
see the attached figure to better understand the problem
Applying the Pythagoras Theorem
substitute the values
Remember that OP is the radius
simplify
Step-by-step explanation:
QR is parallel to TU | Given
S is the midpoint of QT | Given
QS = ST | Definition of midpoint
<QSR = <TSU | definition of vertical angles
<QRS = <STU | Definition of Alternate Interior Angles
QSR = TSU | ASA
Pretty sure that's right :D
Also, wherever it says "=", I mean congruency symbol
Answer:
c= 25, solutions: x = 3, x= -13
Step-by-step explanation:
(10/2) ^2 = 25
(x+5)^2 = 64
Answer:
<em>Similarity doesn't changes angle measures</em>
- ∠U = 56°, ∠U' = 3x - 16
- ∠U = ∠U'
a) 3x - 16 = 56 ⇒ 3x = 72 ⇒ x = 24°
b) ∠T = x + 46 = 24 + 46 = 70°
c) <u>Scale factor:</u>
- k = S'T'/ST = 19/57 = 1/3
<u>Find y using known sides and scale factor:</u>
- U'V'/UV = 1/3
- (y + 4)/63 = 1/3
- y + 4 = 21
- y = 21 - 4
- y = 17