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°.
Answer:
d
Step-by-step explanation:
The answer must have a negative slope because the graph is decreasing.
The y-intercept is 10. The equation must have +10 at the end.
y = -3x + 10
Yes here multiply takes place not divide
Answer:
With the 24 ounces of water he would have 9 ounces of food coloring.
Step-by-step explanation:
For ever 8 ounces of water there is 3 ounces of food coloring so if there is 24 ounces of water that mean there is 3 times the original starting amount. So 8x3=24 so there is 24 ounces of the water. Since the8 got multiplied by 3 that means the 3 we haven't used yet will get multiplied by 3 as well so we can find the answer. So 3x3=9. That means we would have 9 ounces of food coloring with the 24 ounces of water.
