Answer:
148º
Step-by-step explanation:
Use the information given:
- The measure of a straight line is 180º. So angle PST=180-(2R+8)
- Since ST and QR are parallel, angle PST=angle PQR. Now, angle PQR=180-(2R+8)
- The sum of a triangle's interior angles is 180º. So 40+180-2R-8+R=180º.
- Combine like terms, 212-R=180
- Subtract, -R=-32
- Convert to positive, R=32º
With R=32º, we can find angle QST and PQR. Angle QST=2(32)+8=64+8=72º. So angle PQR=180º-72º=108º. The sum of a quadrilateral's interior angles is 360º:
- 32º+72º+108º+STR=360º
- Combine like terms, 212º+STR=360º
- Subtract, STR=148º
Answer:
Michael is 21 years old while Jean is 7 years old.
Step-by-step explanation:
Given that Micheal is three times as old as Jean, but in seven years he will be twice old as she will be, to determine how old are they both at this time, the following calculation must be performed:
M = 3J
M + 7 = 2J + 7
7 = 1/3
7 x 3 = 21
21 + 7 = 28
7 + 7 = 14
21 / 7 = 3
28 / 14 = 2
Therefore, Michael is 21 years old while Jean is 7 years old.
Answer:
The equation of line Passing through (2,3) and (4,7)
The slope of line is
4−2
7−3
=
2
4
=2
The equation of line is y−7=2(x−4)
y−7=2x−8
2x−y−1=0
Step-by-step explanation:
1st integer: x
2nd integer: x+2
Multiply them: x(x+2)=440
X^2+2x-440=0
Use the quadratic formula
x=-22 or x=20
Since x must be a positive integer number, x=20.
Answer:
1st: 20.
2nd: 22
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Answer:
184
Step-by-step explanation:
bottom rectangle area = 16 x 10 = 160
middle rectangle area= 3 x 4 = 12
Top triangle= 1/2(bh) = 8 x 3 = 24 (1/2) = 12
160+ 12 +12= 184
