Answer:
56x = -152
Step-by-step explanation:
8(4+7x) + 6(-1 + 8) = -78
32 + 56x - 6 + 48 = -78
32 + 48 - 6
74 + 56x = -78
-74 -74
56x = -152
Answer:
Step-by-step explanation:
7). Since, ∠4 and ∠5 are the linear pair of angles,
m∠4 + m∠5 = 180° [Supplementary angles]
72° + m∠5 = 180°
m∠5 = 180° - 72°
m∠5 = 108°
8). Since, ∠6 and ∠7 are the vertically opposite angles,
Therefore, ∠6 ≅ ∠7
m∠6 = m∠7
3x + 94 = 9x - 38
9x - 3x = 94 + 38
6x = 132
x = 22
m∠6 = 3(22) + 94 = 160°
m∠7 = 9(22) - 38 = 160°
9). Since, ∠2 and ∠3 are the linear pair of angles, both the angles will be supplementary.
m∠2 + m∠3 = 180°
(13x + 54) + (2x + 36) = 180°
15x + 90 = 180°
15x = 90
x = 6
m∠2 = 13(6) + 54 = 132°
m∠3 = 2(6) + 36 = 48°
Answer:
The six raw digits are 14,15,15,15,16,16
Step-by-step explanation:
By using exponent properties we will see that:
1) The expression is equal to 16.
2) The expression is equal to 4^6, so the correct option is B.
<h3>What is the value of the expression?</h3>
Here we want to solve the expression:
(2^0*4^(-2)*2^3*4^3)/2
Remember the exponent property:
a^x*a^y = a^{x + y}
let's rewrite the numerator:
2^0*4^(-2)*2^3*4^3
= (2^0*2^3)*(4^(-2)*4^3)
= 2^(0 + 3)*(4^(-2 + 3))
= 2^3*4 = 2^3*2*2 = 2^(3 + 1 + 1) = 2^5
Then we can rewrite the expression as:
2^5/2 = 2^4 = 16
b)
(1/4^-3)^2
The negative exponent means that we need to take the inverse:
(1/4^-3)^2 = (4^3)^2 = (4^3)*(4^3) = 4^(3 + 3) = 4^6
So the correct option is B.
Learn more about exponents:
brainly.com/question/847241
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