Answer:
The measure of angle DPA is 39°
Step-by-step explanation:
step 1
Find the value of x we know that arc AB+arc BC+arc CD+arc DA=360°
substitute the values
(5x+10)°+(x+1)°+3x°+(3x+25)°=360°
Solve for x
(12x+36)°=360°
12x=360°-36°
x=324°/12=27°
step 2 Find the measure of angle DPA
we know that The measurement of the external angle is the semi-difference of the arcs which comprises
m∠DPA=(1/2)[arc DA-arc BC]
arc DA=3(27)+25=106°
arc BC=27+1=28°
substitute the values
m∠DPA=(1/2)[106°-28°]=39°
The way i solved the probability percentage was 3/4 = x/100, which means his probability of making it in the goal was 75%. if it was out of five, he’d make 3.75 goals, going by the percentage. hope this helps you in some way
Answer:
$5.40
Step-by-step explanation:
1.60 times 4 equals $6.40 and subtract the dollar off
<em><u>The question is the base of the triangle, so we use the formula : b²=c²–a²</u></em>
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Answer:
Step-by-step explanation:
<u>Given equation:</u>
<u>Change to slope-intercept form:</u>
- 2x + 3y = 1470, isolate y
- 3y = -2x + 1470, divide all terms by 3
- y = -2/3x + 490
The slope is -2/3 and y-intercept is 490
<u>Functional notation, change y to f(x)</u>
To graph the line, plot the intercepts and connect with the line.
<u>If the total is $1593 for the next month, the function would be:</u>
<u>Changing to slope-intercept:</u>
The slopes are same, therefore the lines are parallel.
The difference is the y-intercept, it is greater in the next month.
The graphs are attached, with intercepts shown.