1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is 
, so the measure of arc DF is
The inscribed angle theorem tells us that the central angle subtended by arc DF, 
, has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so
so the measure of arc DF is also 64 degrees. So we have
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2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,
Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that
Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have
Answer:
x = 7
Step-by-step explanation:
- vertical angles are pairs of opposite angles made by intersecting lines. and they are congruent
x + 16 = 4x - 5
x - 4x = - 5 - 16
- 3x = - 21
- x = - 21/3
- x = - 7
x = 7
hope it helps
and please just focus on your questions and use knowledge
Step-by-step explanation:
Total distance covered=distance covered by walking+distance covered by jogging
=6/7+4/5=30+28/35
=58/35miles
How much farther did you walk than jog
=6/7-4/5
=30-28/35
=2/35miles
Answer:
1,2,3,5,6,10,15,30
Step-by-step explanation:
Factors of 30 are the following:-
1x30=30
2x15=30
3x10=30
5x6=30
6x5=30
10x3=30
15x2=30
30x1=30
To find this you would divide 868cupcakes by 31boxes witches is 28cupcakes in each box
hope this helps good luck have a good nite hope u enjoy ur the rest of ur weekend
