First step
Using substitution you can fill 2x + 11 in for the y part of the first equation
This will look like: 2x + 11 = -x^2 -2x + 8
Second step
Now we need to solve for the variable by combining like terms you can start by adding x^2 + 2x -8 to both sides
You get 0 = x^2 +4x +3
Third step
Factor
(X+3)(x+1)=0
If you need the y values you can fill in x= -3 to the second equation y= 2(-3) + 11 and y=5
First point is (-3,5)
The other point is found by filling x=-1 into the second equation: y= 2(-1) +11 and y = 9
Second point is (-1,9)
You can observe that angle 1 and angle with 47° are inside a parallelogram.
Consider that the sum of the internal angles of a parallelogram is 360°.
Moreover, consider that the angle at the top right of the parallogram is congruent with the angle of 47°, then, such an angle is if 47°.
Consider that angle down right side is congruent with angle 1, then, they have the same measure.
You can write the previous situation in the following equation:
47 + 47 + ∠1 + ∠1 = 360 simplify like terms
94 + 2∠1 = 360 subtract both sides by 94
2∠1 = 360 - 94
2∠1 = 266 divide by 2 both sides
∠1 = 266/2
∠1 = 133
Hence, the measure of angle 1 is m∠1 = 133°
Answer:
mint chocalte chip
Step-by-step explanation:
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Answer:
I e III
Step-by-step explanation:
Recebemos declarações na questão acima para considerar.
Declaração I. O inverso de 0,2 é 5.
Matematicamente, isso é escrito como:
1 / 0,2
0,2 = 2/10
Portanto: 1 ÷ 2/10 = 1 × 10/2
= 5
Afirmação 1 é verdadeira
Declaração II.
O triplo de 2/5 é 6/15.
Triplo de 2/5 = 2/5 + 2/5 + 2/5
= 2 + 2 + 2/5
= 6/5
= 1 1/5
Declaração II é falsa
III. A metade de 0,5 é 1/5
1/2 de 0,5
= 1/2 × 0,5 = 0,25
Convertendo em fração
= 0,25 = 25/100
= 1/4
Declaração III está correta
Portanto, as afirmações verdadeiras são I e III
