Answer:x= 8/√3, y= 16/ √3
Step-by-step explanation:
See the picture below
The value of angle x is 53° for the given triangle.
<h3>What is
angle?</h3>
An angle is the formed when two straight lines meet at one point, it is denoted by θ.
In the given isosceles triangle,
one angle is 74°,
Since, two sides of the isosceles triangle are equal, so the corresponding angles will be equal to x.
The sum of angles of a triangle = 180°
x + x + 74 = 180
2x = 106
x = 53
The required value of angle x is 53°.
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Answer:
Step-by-step explanation:
Given: △ABC, BC>AC, D∈ AC , CD=CB
To prove: m∠ABD is acute
Proof: In ΔABC, the angle opposite to side BC is ∠BAC and the angle opposite to side AC is ∠ABC.
Now, it is given that BC>AC, then ∠BAC>∠ABC.. (1)
In ΔBDC, using the exterior angle property,
∠ADB=∠DBC+∠BCD
∠ADB=∠DBC+∠BCA
⇒∠ADB>∠BAC (2)
From equation (1) and (2), we get
∠ADB>∠BAC
⇒∠ADB>∠ABC
⇒DB>AB
Hence, m∠ABD is acute
Answer:
A. 4 B. log₂(2^4)
Step-by-step explanation:
A. log₂ 2 = log₂ 2¹ = 1
log₂ 8 = log₂ 2³ = 3
log₂ 2 + log₂ 8 = 1 + 3 = 4
B. *log₂ 2⁴ = 4