The measure off DF is 11.
In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal. Since SD=4, DT=4 as well. Since UF=7, then FT=7.
DF=DT+TF=4+7=11.
Answer: Andrew = 20
Jimmy = 25
Richard = 100
Step-by-step explanation:
Let the number of Andrew's comic books be y.
Jimmy has five more comic books than Andrew. This means Jimmy has: y+5
Richard has four times as many comic book as jimmy. This means Richard has: 4(y+5) = 4y + 20
Since there are 145 comic books together. This can be rewritten as:
y + (y+5) + (4y+20) = 145
6y+25 = 145
6y = 145 - 25
y = 120/6
y = 20
Andrew has 20 comic books
Jimmy has five more comic books than Andrew. Jimmy has: 20+5 = 25
Richard has: 4y + 20 = 4(20) + 20 = 100
Answer:
Solve the equation for x by finding a
, b
, and c
of the quadratic then applying the quadratic formula.
Exact Form:
x
=
−
4
±
√
5
Decimal Form:
x
=
−
1.76393202
…
,
−
6.23606797
…
I think the answer is: 2010
Answer:
Question #1
m∠4 + m∠7 = 180° - Given.
∠4 and ∠7 are supplementary angles - Definition of supplementary angles.
∠7 and ∠2 form a linear pair - Definition of linear pair.
∠7 and ∠2 are supplementary angles - Definition of linear pair.
m∠7 + m∠2 = 180° - Definition of supplementary angles.
m∠2 = m∠4 - Substitution property.
c ║ d - Converse of corresponding angles postulate.
Question #2
m∠3 = m∠8 - Given.
∠8 and ∠6 form a linear pair - Definition of linear pair.
∠8 and ∠6 are supplementary angles - Definition of linear pair.
m∠8 + m∠6 = 180° - Definition of supplementary angles.
∠3 and ∠6 are supplementary angles - Substitution property.
m∠3 + m∠6 = 180° - Definition of supplementary angles.
Question #3
p ║ q - Given.
∠1 ≅ ∠5 - Given.
∠1 ≅ ∠2 - Alternate interior angle theorem.
∠2 ≅ ∠5 - Substitution property.
~Hope this helps!~
