If a || b, m<2 = 63°, and m<9 = 105°, give the measure of each angle.m<1 =
M<3=
m<4=
m<5=
m<6=
m<7=
m<8=
m<10=
m<11=
m<12=
m<13=
m<14 =
Answers
Applying the relationship existing between angle pairs, the measure of each angle in the image are:
m<1 = 42°
m<3 = 75°
m<4 = 42°
m<5 = 63°
m<6 = 75°
m<7 = 105°
m<8 = 75°
m<10 = 75°
m<11 = 42°
m<12 = 138°
m<13 = 42°
m<14 = 138°
Given that a || b, where:
- m<2 = 63°
- m<9 = 105°, the missing angle measures will be determined as follows:
Find m<1:
m<1 + m<2 = m<9 (exterior interior angle theorem)
- Substitute
m<1 + 63° = 105°
m<1 = 105° - 63°
m<1 = 42°
Find m<3:
m<1 + m<2 + m<3 = 180° (angles on a straight line)
- Substitute
42° + 63°+ m<3 = 180°
105° + m<3 = 180°
m<3 = 180° - 105°
m<3 = 75°
Find m<4:
m<4 = m<1 (vertical angles theorem)
- Substitute
m<4 = 42°
Find m<5:
m<5 = m<2 (vertical angles theorem)
- Substitute
m<5 = 63°
Find m<6:
m<6 = m<3 (vertical angles theorem)
- Substitute
m<6 = 75°
Find m<7:
m<7 + m<6 = 180° (corresponding angles theorem)
- Substitute
m<7 + 75° = 180°
m<7 = 180° - 75°
m<7 = 105°
Find m<8:
m<8 = m<6 (alternate interior angles theorem)
- Substitute
m<8 = 75°
Find m<10:
m<10 = m<6 (corresponding angles theorem)
- Substitute
m<10 = 75°
Find m<11:
m<11 = m<4 (alternate interior angles theorem)
- Substitute
m<11 = 42°
Find m<12:
m<12 = m<6 + m<5 (alternate interior angles theorem)
- Substitute
m<12 = 75° + 63°
m<12 = 138°
Find m<13:
m<13 = m<11 (vertical angles theorem)
- Substitute
m<13 = 42°
Find m<13:
m<14 = m<12 (vertical angles theorem)
- Substitute
m<14 = 138°
Learn more here:
Answer:
a. m<1 = 105° - 63° m<1 = 42°
b. m<3 + m<2 + m<1 = 180° m<3 = 75°
c. m<4 = m<1 m<4 = 42°
d. m<5 = m<2 m<5 = 63°
e. m<6 = m<3 m<6 = 75°
f. m<7 = m<9 m<7 = 105°
g. m<8 = m<6 m<8 = 75°
h. m<10 = m<8 m<8 = 75°
i. m<11 = m<4 m<11 = 42°
j. m<12 = 180° - m<11 m<12 = 138°
k. m<13 = m<11 m<13 = 42°
l. m<14 = m<12 m<14 = 138°
Step-by-step explanation: Sorry if not all are correct
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Help me again and ty.
b. -3.236 or 1.236
c. 04 or 9
d. 2.487 or -5.859
e. None of these
Answers
Answer:
a.) 3.236 or -1.236
Step-by-step explanation:
Used an online calculator for this answer...
Using the Quadratic Formula where
The discriminant b^2−4ac > 0
so, there are two real roots.
Simplify the radical...
This simplifies to...
a. k = −1
b. k = 1
c. k = 2
d. k = 4
e. k = 10
f. k = 25
g. Describe what happens to the graph of
x2 / k − y2 = 1 as k → [infinity].
Answers
Answer:
Seee answer below.
Step-by-step explanation:
a. k = −1
If K=-1 the equation gets this form:
(x^2/-1) -y^2=1
There aren't natural numbers that being negative, adding them, we get 1 as result. So there is no graph for this equation.
b. k = 1
(x^2/1) -y^2=1
This is the natural form of the equation of an hyperbola. Attached you can find the graph.
c. k = 2
(x^2/2) -y^2=1
This is the natural form of the equation of an hyperbola. Attached you can find the graph.
d. k = 4
(x^2/4) -y^2=1
This is the natural form of the equation of an hyperbola. Attached you can find the graph.
e. k = 10
(x^2/10) -y^2=1
This is the natural form of the equation of an hyperbola. Attached you can find the graph.
f. k = 25
(x^2/25) -y^2=1
This is the natural form of the equation of an hyperbola. Attached you can find the graph.
g. Describe what happens to the graph of
x2 / k − y2 = 1 as k → [infinity].
As K is increasing the value of X will be tending to 0. So the equation for this will be:
− y^2 = 1.The solution for this is in the domain of the imaginary numbers.
Answers
p1 can paint hours in 10 hours, so 1/10 house per 1 hour
p2 can paint house in 6 hours so 1/6 house per 1 hour
if both start at 8:00, when finish??
find how many hours they take
1 hour=p1+p2=1/10+1/6
just add 1/10 and 1/6 and see how many to get 1/1 house done
1/10+1/6=3/30+5/30=8/30=4/15
xhours times 4/15=1
multiply both sides by 15/4 to clear fraction
xhours =15/4
xhours=3 and 3/4
they take 3 and 3/4 hours aka 3 hours and 45 mins so
8:00+3:45=11:45
they finish at 11:45 AM
Answers
Answers
The final result is m = 28.
m/42 = 2/3
*42 *42
2/3 * 42/1 = 84/3 = 28
m = 28
Answer: m = 28