C! Is the answer. Hope that helped! ((:
Answer:
a = 35, b = 40, c = 17.5
Step-by-step explanation:
The sum of the 3 arcs on the semicircle above the diameter = 180° , that is
65 + 80 + a = 180
145 + a = 180 ( subtract 145 from both sides )
a = 35
The inscribed angles b and c are half the measures of their intercepted arcs
b = × 80 = 40
c = × 35 = 17.5
<h3>
<u>Explanation</u><u>:</u></h3>
Consider ABCD is a rhombus
We know that
All sides are equal in rhombus
=> AB=BC=CD=DA
and AC and BD are digonals
Given that
Diagonal and the side of the rhombus are equal.
=> AB = BC = CD = DA = AC
Diagonal AC divides the rhombus into two triangles .
They are ∆ BAC and ∆ DAC
In triangle BAC
BA=BC=AC,(Given)
=> < BAC=<ABC= < ACB =60°………(1)
Similarly in ∆DAC ,
DA=DC=AC
=><DAC=<ACD=<ADC=60°……….(2)
From (1) and (2)
<A=<BAC+< DAC=60°+60°=120°
and
< B= < ABC = 60°.
and
<C=<ACB+<ACD=60°+60°=120°
and
< D =<ADC=60°
Therefore, <A = 120° , <B = 60° ,<C = 120° ,<D = 60°
<u>Answer:-</u>
The measures of the all angles in the rhombus are 120° , 60° ,120° and 60°
<u>Used formulae:-</u>
all sides in a rhombus are equal
Answer:
The correct anser is option
B. 2x + 2 = 18
Step-by-step explanation:
Let the number of hot dogs eaten by the runner up be represented by x
If Dave ate 2 more than twice x, this means that the number eaten by him = 2x + 2
Since the total number of hot dogs eaten by Dave is 18
Therefore, the equation will be
2x + 2 = 18
So the number of hot dogs eaten by the runner-up is determined by solving for x
2x= 18-2
2× = 16
x = 16/2
x = 8
The runner up are 8
While Dave are
2×8 + 2 = 18.