Answer: 15x^2+6xy
Step-by-step explanation: 3x(6y−4y+5x)
(3x)(6y+−4y+5x)
(3x)(6y)+(3x)(−4y)+(3x)(5x)
18xy−12xy+15x^2
15x^2+6xy
Answer:
- The value of x is 12 units.
Step-by-step explanation:
<u>We know that:</u>
<u>Let's solve using Pythagoras theorem.</u>
- => 13² = 5² + x²
- => 169 = 25 + x²
- => 169 - 25 = x²
- => 144 = x²
- => √x² = √144
- => x = √144
- => x = 12
Hence, the value of x is 12 units.
Answer:
Therefore, HL theorem we will prove for Triangles Congruent.
Step-by-step explanation:
Given:
Label the Figure first, Such that
Angle ADB = 90 degrees,
angle ADC = 90 degrees, and
AB ≅ AC
To Prove:
ΔABD ≅ ΔACD by Hypotenuse Leg theorem
Proof:
In Δ ABD and Δ ACD
AB ≅ AC ……….{Hypotenuse are equal Given}
∠ADB ≅ ∠ADC ……….{Each angle measure is 90° given}
AD ≅ AD ……….{Reflexive Property or Common side}
Δ ABD ≅ Δ ACD ….{By Hypotenuse Leg test} ......Proved
Therefore, HL theorem we will prove for Triangles Congruent.
Coterminal angle is an angle which has the same initial and terminal side of the original angle. It can be found by adding or subtracting 360deg.
A positive angle less than 360 that is coterminal with -85 is = -85 + 360
= 275 degree
Answer:
18
Step-by-step explanation:
Given
x - 1 = 2 ( add 1 to both sides )
x = 3
Then
2x² = 2(3)² = 2 × 9 = 18
