Answer:
14
Step-by-step explanation:
7/8 ÷ 1/16 = 7/8 × 16/1
7/8 × 16/1 = 14
Answer:
Measure of angle 2 and angle 4 is 42°.
Step-by-step explanation:
From the figure attached,
m∠ABC = 42°
m(∠ABD) = 90°
m(∠ABD) = m(∠ABC) + m(∠DBC)
90° = 43° + m(∠DBC)
m(∠DBC) = 90 - 43 = 47°
Since ∠ABC ≅ ∠4 [Vertical angles]
m∠ABC = m∠4 = 42°
Since, m∠3 + m∠4 = 90° [Complimentary angles]
m∠3 + 42° = 90°
m∠3 = 90° - 42°
= 48°
Since, ∠5 ≅ ∠3 [Vertical angles]
m∠5 = m∠3 = 48°
m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]
m∠2 + 48° = 90°
m∠2 = 90 - 48 = 42°
m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]
48° + m∠4 = 90°
m∠4 = 90 - 48 = 42°
Therefore, ∠2 and ∠4 measure 42°.
The second train will catch up with the first train in 1.6 hours
Answer:
10
Step-by-step explanation:
AB = CD = 10, so AB = 10
The equation of line perpendicular to given line through (-6,7) is:
Further explanation:
Given equation of line is:
The co-efficient of x is the slope of given line.
Let m1 be the slope of given line
and
m2 be the slope of line perpendicular to given line
Then
Product of slopes of perpendicular lines is -1
The equation of new line can be written as:
Putting m2
To find the value of b, we will put (-6,7) in equation
Putting the values of b and m in general equation
Keywords: Slope, Point-slope form, perpendicular lines
Learn more about perpendicular lines at:
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