Answer:
see attached
Step-by-step explanation:
The two different triangles can be formed by placing the 90° angle adjacent to, or opposite the given side.
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In the attached diagram, the two triangles are ABC and ABD. The right angles are at vertex C and vertex B, respectively.
Answer:
Step-by-step explanation:
LET ORANGES=X
PEARS ARE 3 TIMES =3X
LET CHILDREN=Y
IF WE GIVE 5 ORANGES PER CHILD WE NEED 5Y ORANGES.SO THIS =X
X=5Y........................I
IF WE GIVE 8 PEARS PER CHILD WE NEED 8Y PERARS...THERE ARE STILL 21 PEARS LEFT OUT AFTER THIS THAT IS
8Y+21=3X....................II
SUBSTITUTING FOR X FROM EQN.I..
8Y+21=3*5Y
15Y-8Y=21
7Y=21
Y=3
X==5Y=5*3=15..
SO CHILDREN =3
ORANGES=15
PEARS=3*15=45
THANKYOU AND PLEASE AMRK IT BRAINLIEST
Answer: option A
Step-by-step explanation:
The volume of a cylinder can be calculated with the formula:
Where r is the radius and h is the height of the cylinder.
The radius is diameter divided by 2, then:
Substitute the radius into the formula. Then you get the following equation that can be used to find V, the volume of the cylinder:
Which is the domain of the function shown in the graph?
A. x ≤ 3
B. -∞ < x < ∞ ( ✔ )
C. x > 0
D. x ≥ 3
9514 1404 393
Answer:
∠Q = 89°
∠R = 123°
∠S = 91°
Step-by-step explanation:
It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.
arc QRS = 2·∠P = 114°
So, ...
arc QR = arc QRS - arc RS = 114° -41° = 73°
The total of the arcs around the circle is 360°, so ...
arc PQ = 360° -arc PS -arc QRS
arc PQ = 360° -137° -114° = 109°
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∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)
∠Q = 89°
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∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)
∠R = 123°
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∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)
∠S = 91°
