Step-by-step explanation:
Area of trapezium
=1/2 h(a+b)
=1/2 2(6+4)
=1/2 2.10
=1/2 20
=10cm. cm
If H is the circumcenter, then each of EH, FH, and GH are perpendicular bisectors of the legs BC, CD, and DB, respectively. So, for instance, EH cuts BC in half so that BE and EC have the same length.
Also, BH, CH, and DH are radii to the circumcircle of the triangle, so they all have the same length.
(1) CD = CF + FD = 2 • FD = 2 • 32 = 64
(2) CE = BE = 26
(3) HD = HC = 33
(4) GD = 1/2 • BD = 1/2 • 58 = 29
(5) By the Pythagorean theorem,
HG² + GD² = HD²
so
HG = √(33² - 29²) = 2 √(62)
(6) Similar to (5); by the Pythagorean theorem,
HF² + FD² = HD²
so
HF = √(33² - 32²) = √(65)
Answer:
Step-by-step explanation:
<h3>Given:</h3>
- PT║VW and SR is transversal
- m∠PQR = 36°
<h3>To find:</h3>
<h3>Solution</h3>
a) ∠SQT is vertical with ∠PQR and therefore has equal measure
b) ∠QRW is corresponding angle with ∠SQT and therefore has equal measure
c) m∠PRV = m∠PRQ as marked equal
- m∠PRV +m∠PRQ + m∠QRW = 180° as straight angle
- m∠PRV*2 = 180° - 36°
- m∠PRV*2 =144°
- m∠PRV = 144°/2
- m∠PRV = 72°
On the month of February, 2,940 books will be published. However, if February falls on a leap year which has 29 days, about 3,045 books will be published.
Equation for Line
y = -1/2 x - 2