Answer:
m<DCA = 40
Step-by-step explanation:
m<DAC = 90
m<CDA = 50
m<DCA = 180 - 90 - 50 = 40
If you know the base and area of the triangle, you can divide the base by 2, then divide that by the area to find the height
Step 1. 14 ÷ 2 = 7
Step 2. 45.5 ÷ 7 = 6.5
Height = 6.5 cm
Step-by-step explanation:
31 37 41 43 47 51 53 57 59
are the prime numbers between 30 and 60
(4x - 2)(6(2x + 7)) = 0
(4x - 2)(6(2x) + 6(7)) = 0
(4x - 2)(12x + 42) = 0
48x² + 168x - 24x - 84 = 0
48x² + 144x - 84 = 0
x = <u>-144 +/- √(144² - 4(48)(-84))</u>
2(48)
x = <u>-144 +/- √(20,736 - 16,128)</u>
96
x = <u>-144 +/- √(4,608)
</u> 96<u>
</u>x = <u>-144 +/- 67.88</u><u>
</u> 96
x = -1.5 +/- 0.707083
x = -1.5 + 0.707083 x = -1.5 - 0.707083
x = -0.792917 x = -2.207083
<u />
Answer:
43 degrees.
Step-by-step explanation:
Since the triangles are congruent their corresponding parts ( sides and angles) are congruent
m < P = m < K = 43 degrees