Answer:
2x - 5 = 47 is the expression .
x = 26
Step-by-step explanation:
Answer:
EY≅ 5.33 cm (nearest to tenth)
Step-by-step explanation:
Two triangles are said to be similar to each other if they have the same shape
(not necessarily the same size) and their corresponding sides are in
proportion
Given that,
AB = 12
DE = 8
BX = 8
ΔABC ∼ ΔDEF means that
- ∠A ∼= ∠D, ∠B ∼=∠E and ∠C ∼= ∠F.
- Further more, their corresponding sides are in proportion.
So,
12/8 = 8/EY
(by doing cross multiplication)
12EY = 8 × 8
12EY = 64
EY = 64 / 12
EY= 5.3333
EY≅ 5.33 cm (nearest to tenth)
Answer:
p = 3, q = 2.5
Step-by-step explanation:
Given that x = - 4 is a root of the equation, then
(- 4)² - 4p - 4 = 0, that is
16 - 4p - 4 = 0
12 - 4p = 0 ( subtract 12 from both sides )
- 4p = - 12 ( divide both sides by - 4 )
p = 3
Also given that the equation x² + px + q = 0 has equal roots
Thus the value of the discriminant b² - 4ac = 0
Here a = 1, b = p and c = q, thus
p² - 4q = 0 ← substitute p = 3 from above into the equation
9 - 4q = 0 ( subtract 9 from both sides )
- 4q = - 9 ( divide both sides by - 4 )
q = 2.5
Answer:
Complementary angles
Step-by-step explanation:
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