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stiv31 [10]
3 years ago
10

the sum of two numbers is 13 2 times the first number minus 3x and the second number is 1 if you let X stand for the first numbe

r and why for the second number what are the two numbers
Mathematics
1 answer:
astraxan [27]3 years ago
4 0
If we let x be the first number and y be the second, we have (x + y) =13 and (2x - 3y) = 1. From the first equation, we have x = (13- y). Substituting this into the second one, we have 2(13 - y) - 3y = 1. Distributing the equation and re-arranging it, we now have (-5y) = (-26). Dividing both sides by -5, we have y = 5. Now x = (13 - y) = 8. Therefore, the two numbers are 5 and 8<span>. </span>
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AB is tangent to the circle k(O) at B, and AD is a secant, which goes through center O. Point O is between A and D∈k(O). Find m∠
drek231 [11]

Answer:

∠BAD=20°20'

∠ADB=34°90'

Step-by-step explanation:

AB is tangent to the circle k(O), then AB⊥BO. If the measure of arc BD is 110°20', then central angle ∠BOD=110°20'.

Consider isosceles triangle BOD (BO=OD=radius of the circle). Angles adjacent to the base BD are equal, so ∠DBO=∠BDO. The sum of all triangle's angles is 180°, thus

∠BOD+∠BDO+∠DBO=180°

∠BDO+∠DBO=180°-110°20'=69°80'

∠BDO=∠DBO=34°90'

So ∠ADB=34°90'

Angles BOD and BOA are supplementary (add up to 180°), so

∠BOA=180°-110°20'=69°80'

In right triangle ABO,

∠ABO+∠BOA+∠OAB=180°

90°+69°80'+∠OAB=180°

∠OAB=180°-90°-69°80'

∠OAB=20°20'

So, ∠BAD=20°20'

5 0
3 years ago
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Solve this equation 4y+228=352
statuscvo [17]
4y + 228 = 352

4y = 352 - 228

4y = 124
---     ----
4        4

------------
| y = 31  |
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8 0
3 years ago
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kifflom [539]

12,900 BTU's are required to cool the room effectively.

Step-by-step explanation:

Step 1:

We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.

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Step 2:

The area of a semi-circle =\frac{ \pi r^{2} }{2} .

Here, the diameter is 20 feet so the radius is 10 feet.

The area of the semi-circle =\frac{ \pi r^{2} }{2} =\frac{ (\pi) (10^{2}) }{2} = 157.079 square feet.

The area of a rectangle = (l)(w).

The length of the rectangle is 22 feet and the width is 20 feet.

The area of a rectangle = (l)(w) =(22)(20) = 440 square feet.

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Step-by-step explanation:

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