Answer:
Tony make 4 half-court shots and misses 16 half-court shots.
Step-by-step explanation:
Given:
Points earned for every successful, half-court shots =
Points deducted for missing the shots = or
Total number of shots in the game =
Final points earned by Tony =
According to the question:
Let the number of successful half-court shot be
And the number of shots missed be
So,
In terms of points we can re-write it as:
⇒
⇒
⇒
⇒
⇒
⇒
⇒
⇒
Tony make 'x' shots that is 4 and the number of shot he missed is (20-x) =(20-4)=16
Answer:
5/7
Step-by-step explanation:
Try this solution, it consists of two parts (MN=8).
Answer:
No, he is incorrect because he forgot to multiple the negative by the x, and only multiplied 3 by x instead of -3 by x.
Step-by-step explanation:
The correct re-write of this expression is:
-3x - 30
Answer:
<h2><em>
38°, 66° and 76°</em></h2>
Step-by-step explanation:
A triangle consists of 3 angles and sides. The sum of the angles in a triangle is 180°. Let the angle be <A, <B and <C.
<A + <B + <C = 180° ...... 1
If the measure of one angle is twice the measure of a second angle then
<A = 2<B ...... 2
Also if the third angle measures 3 times the second angle decreased by 48, this is expressed as <C = 3<B-48............ 3
Substituting equations 2 and 3 into 1 will give;
(2<B) + <B + (3<B-48) = 180°
6<B- 48 = 180°
add 48 to both sides
6<B-48+48 = 180+48
6<B = 228
<B = 228/6
<B =38°
To get the other angles of the triangle;
Since <A = 2<B from equation 2;
<A = 2(38)
<A = 76°
Also <C = 3<B-48 from equation 3;
<C = 3(38)-48
<C = 114-48
<C = 66°
<em>Hence the measures of the angles of the triangle are 38°, 66° and 76°</em>