The measurement of angles are :
- Angle 1 is 123°
- Angle 2 is 57°
- Angle 4 is 123°
- Angle 5 is 123°
- Angle 6 is 57°
- Angle 7 is 57°
- Angle 8 is 123°
Given,
The figure with parallel lines.
Angle 3 is given as 57°
We have to find the other angles.
∠1 + ∠3 = 180° ; Sum of transversal angles is 180°
So,
∠1 = 180 - 57 = 123°
∠2 = ∠3 ; Vertical angles are ≅
So, ∠2 = 57°
∠1 = ∠4 ; Vertical angles are ≅
So, ∠4 = 123°
∠1 = ∠5 ; Corresponding angles are ≅
So, ∠5 = 123°
∠2 = ∠6 ; Corresponding angles are ≅
So, ∠6 = 57°
∠6 = ∠7 ; Vertical angles are ≅
So, ∠7 = 57°
∠5 = ∠8 ; Vertical angles are ≅
So, ∠8 = 123°
Learn more about angles here;
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The expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.
Solution:
Given expressions are 15t – 2t and 2t – 15t.
To determine 15t – 2t is equivalent to 2t – 15t or not.
Substitute t = 2 in above two expressions.
15t – 2t = 15(2) – 2(2)
= 30 – 4
= 26
2t – 15t = 2(2) – 15(2)
= 4 – 30
= –26
The values of the expressions are different when t = 2.
So, 15t – 2t is not equivalent to 2t – 15t.
Hence the expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.
We have an exponential with a fractional base and a positive exponent, and a positive sign at front. Each time we multiply a fraction between zero and one by itself it gets smaller. So as x increases we'll go to zero. As x decreases it goes to positive infinity, as negative powers are the reciprocals of positive power.
The left end approaches positive infinity and the right end approaches zero.
Answer: 123 cm^3
Step-by-step explanation:
volume of the cube on the right: (3)(3)(3)=27
volume of the rectangle on the left: (4)(3)(8)=96
total: 96+27=123
12 characters per inch . . . 12 inches in a foot . . . 3 feet in a yard
so 12 x 12 x 3 = 432 characters in a yard
