Answer:
A. 17°
Step-by-step explanation:
We know that point r is 73° and point p is a right angle (90°) all triangles equal 180° on the inside. If you add 73 and 90, you get 163. Then subtract 163 from 180 to get 17.
an infinite number
Simply, the view which is obtained on the auxiliary plane is an auxiliary view. There is an infinite range of potential auxiliary views of any given object. Auxiliary Views are often used to show the True Size of Inclined Surfaces as in generally inclined surfaces does not show their true size using standard orthographic drawing procedure.
The value of x is 67°
<u>Step-by-step explanation:</u>
Given that
PN=LN
NP||MQ
QL bisects <PQM
therefore <PQL=<LQM
NP||MQ and NM is a transversal
<PNL+<LMQ=180°(angles on the same side of the transversal are supplementary)
<PNL+54=180°
<PNL=180-54=126°
Consider ΔPNL
since PN=NL,the triangle is isocelus
<NPL=<NLP=a
<NPL+<NLP+<PNL=180°
a+a+126=180°
2a+126=180
2a=180-126
=54°
a=54/2=27°
consider the point L
<NLP+<PLQ+<MLQ=180°
27+70+<MLQ=180
<MLQ=180-97=83°
consider ΔLQM
<LQM+<LMQ+LMQ=180
<LQM+83+54=180
<LQM=180-(83+54)=180-137=43°
<PQL=43°(since<PQL=<LQM)
considerΔPQL
x+70+<PQL=180°
x+70+43=180°
x+113=180
x=180-113
=67°
The value of x is 67°
Answer:
≈9.64 gallons
Step-by-step explanation:
To solve, we can figure out how many quarts are in a minute and use that to figure out how many quarts are in an hour. Then, we can convert quarts to gallons.
4.5 quarts = 7 minutes
First, we can find how many quarts equal 1 minute. To do this, we can divide both sides by 7 because anything divided by itself equals 1
4.5/7 quarts = 1 minute
Next, we want to figure out how many quarts go into 60 minutes, or 1 hour. To do this, we can multiply both sides by 60 because 1 * 60 = 60
4.5 * 60 / 7 quarts = 60 minutes = 1 hour
We now know how many quarts are in an hour, so we can now convert quarts to gallons
4 quarts = 1 gallon
divide both sides by 4
1 quart = 1/4 gallons
To get from quarts to gallons, we can divide by 4, so we have
(4.5 * 60 / 7)/4 = 4.5 * 60 / 28
≈9.64 gallons
