The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). The value of x is 415
Step-by-step explanation:
Given that,
The measure of angle DBE (0.1x - 22)
The measure of angle CBE (0.3x - 54)
<u>Step 1</u>
As per the Angle Addition Postulate,
m∠DBE+m∠CBE=m∠DBC
<u>
Step 2</u>
Since∠ DBC is a right angle as indicated by the square symbol, then m∠DBC=90°.
Hence,
(0.1x-22)+(0.3x-54)= 90
<u>Step 3</u>
Lets solve the equation for x
We know that 0.4x-76= 90
0.4x= 166
x=166/0.4
x=415
<u>Step 4</u>
<u>Answer :</u> The value of x is 415
Answer: C. 
Step-by-step explanation:
1. You have the following equation of the parabola in Vertex form:
Where h is the x-coordinate of the vextex and k is the y-coordinate of the vextex.
2. You know that the vertex of this parabola is at (-2, 5), then, susbtitute this point into the equation. Then, you obtain:
3. Therefore, the answer is the option C.
I just did this quiz and got a 100% the answer is A) <span>Putting a small amount of money aside each month to use to purchase Christmas gifts.
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2000 - Monday
2000 - 0.10(2000) = 1800 -- Tuesday
1800 - .20(1800) = 1440 -- Wednesday
.25(2000) + 1440 = 1940 -- Thursday
net change = 2000 - 1940 = 60 <== net change
Answer:
575in³
Step-by-step explanation:
Volume for a Sphere = 4/3πr³
Radius = 13/2 = 6.5
4/3(3.14)(6.5³) = 1149.763333
Because it's half a sphere, just divide by 2
1149.763333/2 = 574.881667
Rounded to the nearest cubic inch = 575
