What is the measure of ABC
2 answers:
Answer:
C.
Step-by-step explanation:
We have been given am image of a circle. We are asked to find the measure of angle ABC.
We can see that angle ABC is an inscribed angle for our given angle. Angle ABC is an inscribed angle of arc AC.
We know that measure of an inscribed angle is half the measure of intercepted arc.
Therefore, measure of angle ABC is 44 degrees and option C is the correct choice.
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<h2>The Domain and Range of a Set of Ordered Pairs</h2><h3>Answer:</h3>
Domain:
Range:
We are given the set of ordered pairs: . The Domain is just the set containing all the
values of each ordered pair of
. Recall that in the ordered pair
,
is the
value. In set
, we can see that the
values are
.
For the Range, it is just the set containing all the values of each ordered pair of
. Recall that in the ordered pair
,
is the
value. In set
, we can see that the
values are
.
Answer:
36 laps Ronnie swim during practice .
Step-by-step explanation:
Let us assume that the laps that Ronnie swims be x .
Let us assume that the laps that Jackie swims be y .
As given
For every 3 laps that Jackie swims, Ronnie swims 4 laps.
i.e
3 × laps that Ronnie swims = 4 × laps that Jackie swims
3 × x = 4 × y
3x = 4y
Equation becomes
x + y = 63
Thus by using 3x = 4y .
Thus
4x + 3x = 63 × 4
7x = 252
x = 36
Put the value of x in the equation x + y = 63
36 + y = 63
y = 63 - 36
y = 27
Therefore the 36 laps Ronnie swim during practice .