Answer:
Arc DE = 90°
m<GAB = 82°
Arc DC = 49°
Step-by-step explanation:
Given:
m<EAF = 74°
m<EAD = right angle = 90°
Arc BG = 82°
Required:
Arc DE,
<GAB, and
Arc DC
Solution:
Recall that the central angle measure = the intercepted arc measure.
Therefore:
✔️Arc DE = m<EAD
Arc DE = 90° (Substitution)
✔️m<GAB = arc BG
m<GAB = 82° (Substitution)
✔️Arc DC = m<CAD
Find m<CAD
m<CAD = ½(180 - m<GAB)
m<CAD = ½(180 - 82)
m<CAD = 49°
Arc DC = m<CAD
Arc DC = 49°
Answer:
Step-by-step explanation:
From the picture attached,
In ΔABC and ΔGFE,
AC ≅ EG [Given]
BC ≅ EF [Given]
AB ≅ FG [Given]
By the SSS property of congruence, ΔABC ≅ ΔGFE
The two triangles are related by SSS property of congruence, so the triangles are congruent.
Answer:
7
Step-by-step explanation:
"a certain whole number" is a number that we don't know, so pick a variable, let's use n
"Twice" means two times, so we'll use 2n for this.
"subtracted from" means the 2n will be AFTER the minus sign.
____ - 2n
What goes in front? "3 times the square of the number" 3n^2
Now we have 3n^2 - 2n
Lastly, we see the result is 133. So this gives us:
3n^2 - 2n = 133 To solve, subtract 133 from both sides of the equation.
3n^2 -2n - 133 = 0 Next FACTOR.
(3n + 19)(n - 7) = 0
3n+19=0 and n-7=0
n=-19/3 and n=7
Since we are looking for a whole number choose n=7
195 ÷ 4 = 48.75
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