Answer:
84
Step-by-step explanation:
Since we are given line OP perpendicular to line DR, then angles PDR and ODR are right angles.
Angles PDA and ADR are complementary.
Angles ODU and UDR are complementary.
Angles ADR and UDR are given as congruent.
We can conclude that angles PDA and ODU are congruent.
By AA Similarity, triangles APD and UMD are similar.
DP/DM = PA/MU
3.75/10 = 4.5/MU
3.75MU = 10 × 4.5
MU = 12 (altitude of triangle DUO)
OD = OM + MD = 4 + 10 = 14 (base of triangle DUO)
area = base × height / 2
area = 14 × 12 / 2
area = 84
Answer: (6,-3)
Explanation:
(1) 2
x-3y=21
(2) y
=
3
−
x
Substituting eq 2 in eq 1
2
x
−
3
(
3-x)=21
2
x-9+3x=21
5
x
−
9
=
21
5
x
=
30
x
=
6
Put x=
6 in eq 2 we get,
y
=3
−
6
y
=
−
3
Solution : (
6
,
−
3
)
The number of sports books is 13 books.
<h3>What is an equation?</h3>
A mathematical equation is the representation of a problem by the use of variables. Often times, an equation is formed from the factors that are in a problem.
We have to represented each of the books read with an algebraic term;
Let the number of mystery books be y
Let the number of sports books be x
Total number of books = 23
We know that;
x + y = 23
but y = 10
x = 23 - 10
x = 13 books
Learn more about algebra:brainly.com/question/24875240
#SPJ1
Answer:
k = 7
Step-by-step explanation:
9.1k = 63.7
/9.1 /9.1
k = 7
Check your answer:
9.1k = 63.7
9.1 (7) = 63.7
63.7 = 63.7
This statement is true.
Hope this helps!
Answer:
Step-by-step explanation:because all angles in a triangle add up to 180° 100°+30°=130° 180°-130°=50°