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UkoKoshka [18]
3 years ago
13

Can someone please help me?

Mathematics
1 answer:
Ne4ueva [31]3 years ago
5 0

9514 1404 393

Answer:

  • x = 6
  • y = 55

Step-by-step explanation:

Angles opposite congruent sides are congruent, so base angles D and F of this isosceles triangle have the same measure:

  y = 55

__

The sum of angles in the triangle is 180°, so ...

  55° +(11x +4)° +55° = 180°

  11x = 66 . . . . . . . . divide by °, subtract 114

  x = 6 . . . . . . . . . . .divide by 11

The values of x and y are 6 and 55, respectively.

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What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the la
olga55 [171]
Let's say the first number is "a"
the next consecutive can just be "a+1" and  the next, you guessed it, "a+2"
the two smaller ones are a and a+1, the larger one is a+2

now, the product of "a" and "a+1" equals 5 times "a+2" but less by 5

thus   a(a + 1) = 5(a + 2) - 5   <----- solve for "a"
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3 years ago
The graph for the equation y=-2x+1 is shown below.
Tpy6a [65]

Answer:

Step-by-step explanation:

Given the equation y=-2x+1 and given another equation y=mx+b in order for us to have no solution we must guarantee that both lines do not intersect. Recall that m is the slope of the second equation and b the y-intercept. To guarantee that both lines don't intersect, they must be parallel. To have this result, we must have that they have the same slope but different y intercept. That is take m = -2 and b any value different to +1. For example, the b = 6. So

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3 0
3 years ago
Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)
Dima020 [189]

Split C into two component segments, C_1 and C_2, parameterized by

\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)

\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)

respectively, with 0\le t\le1, where \mathbf r_i(t)=(x(t),y(t)).

We have

\mathrm d\mathbf r_1=(6,1)\,\mathrm dt

\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt

where \mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt

so the line integral becomes

\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)

=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt

=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6

6 0
3 years ago
Can someone please help with this and show me in steps will give brainliest?​
alina1380 [7]
A. 3 times 10^4
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3 years ago
Which of the following rational numbers is equal to 3/5?
Vedmedyk [2.9K]
3/5 = 60%
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4 0
3 years ago
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