Answer:
Step-by-step explanation:
39²=1521
80²=6400
39²+80²=1521+6400=7921
87²=7569
7921≠7569
so it is not aright angled triangle.
Answer:
m∠A = 20° and m∠D = 20°
Step-by-step explanation:
Congruent triangles have equal angles, equal sides, equal perimeters, and equal areas
Let us solve the question
∵ The two triangles ABC and DEF are congruent
∴ m∠A = m∠D
∵ m∠A = x + 10
∵ m∠D = 2x
→ Equate their measures
∴ 2x = x + 10
→ Subtract x from both sides
∵ 2x - x = x - x + 10
∴ x = 10
→ Substitute x by 10 in the measures of angles A and D to find them
∵ m∠A = 10 + 10
∴ m∠A = 20°
∵ m∠D = 2(10)
∴ m∠D = 20°
Log base b=logb
4 log₂ 2x+ 2logb x=4
log₂(2x)⁴+logb x²=log₂16
log₂ 16x⁴+ logb x²=log₂ 16
logb x²=log₂ 16 - log₂ 16x⁴
logb x²=log₂ (16/16x⁴)
logb x²= log₂ x⁻⁴
logb x²=log₂ x² / log₂ b
log₂ x² / log₂ b=-log x⁴
log₂ b=log₂ x² /- log₂ x⁴
log₂ b=2 log x / -4 log₂ x
log₂ b=-1/2 ⇔ b=2⁻¹/² =1/√2=(√2)/2≈ 0.707106781....
Answer: b=(√2)/2
To chek
if x=10
log base √2/2= log√2/2
4 log₂ 20 + 2log√2/2 10=4(4.321928095...)+2 (-6.64385619=
= 17.28771238-13.28771238=4
Answer: x = ~6.928
Step-by-step explanation:
To find the value of X. we can use the sine of the angle:
sin (angle) = opposite / hypotenuse
sin (60) = opposite / 8
Solving for this, we get 6.928 for the opposite side.