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4 years ago

7

Help with this answer please?

2 answers:

mrs_skeptik [129]4 years ago

7 0

The simplified answer to this problem would be 12/13 I really hope this helps good luck. Brianliest if right?

puteri [66]4 years ago

3 0

It would be Adjacent/hypotenus which is 36/39 and when simplified the answer is 12/13

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Given that lines b and c are parallel, and the m<1=4x-30 and m<5=2x+50. Find the measure of angle 1 and measure of angle 7

AfilCa [17]

4x-30=2x+50
+30 +30

4x=2x+80
-2x -2x

2x=80
/2 /2

X=40

4(40)-30=130°

2(40)+50=130°

180-130=50°

Angle 7=50°

5 0

2 years ago

2x2 – 5x + 67 = 0<br> What would be your first step in completing the square for the equation above?

7nadin3 [17]

Answer:

The first step is to divide all the terms by the coefficient of $x^{2}$ which is 2.

The solutions to the quadratic equation $2x^2\:-\:5x\:+\:67\:=\:0$ are:

$x=\frac{5}{4}+i\frac{\sqrt{511}}{4},\:x=\frac{5}{4}-i\frac{\sqrt{511}}{4}$

Step-by-step explanation:

Considering the equation

$2x^2\:-\:5x\:+\:67\:=\:0$

The first step is to divide all the terms by the coefficient of $x^{2}$ which is 2.

so

$\frac{2x^2-5x}{2}=\frac{-67}{2}$

$x^2-\frac{5x}{2}=-\frac{67}{2}$

Lets now solve the equation by completeing the remaining steps

Write equation in the form: $x^2+2ax+a^2=\left(x+a\right)^2$

Solving for $a$ ,

$2ax=-\frac{5}{2}x$

$a=-\frac{5}{4}$

$\mathrm{Add\:}a^2=\left(-\frac{5}{4}\right)^2\mathrm{\:to\:both\:sides}$

$x^2-\frac{5x}{2}+\left(-\frac{5}{4}\right)^2=-\frac{67}{2}+\left(-\frac{5}{4}\right)^2$

$x^2-\frac{5x}{2}+\left(-\frac{5}{4}\right)^2=-\frac{511}{16}$

Completing the square

$\left(x-\frac{5}{4}\right)^2=-\frac{511}{16}$

Since, you had required to know the first step in completing the square for the equation above, I hope you have got the point, but let me quickly solve the remaining solution.

For $f^2\left(x\right)=a$ the solution are $f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

Solving

$x-\frac{5}{4}=\sqrt{-\frac{511}{16}}$

$x-\frac{5}{4}=\sqrt{-1}\sqrt{\frac{511}{16}}$

$x-\frac{5}{4}=i\sqrt{\frac{511}{16}}$ ∵ Applying imaginary number rule $\sqrt{-1}=i$

$x-\frac{5}{4}=i\frac{\sqrt{511}}{\sqrt{16}}$

$-\frac{5}{4}=i\frac{\sqrt{511}}{4}$

$x=\frac{5}{4}+i\frac{\sqrt{511}}{4}$

Similarly, solving

$x-\frac{5}{4}=-\sqrt{-\frac{511}{16}}$

$x-\frac{5}{4}=-i\frac{\sqrt{511}}{4}$ ∵ Applying imaginary number rule $\sqrt{-1}=i$

$x=\frac{5}{4}-i\frac{\sqrt{511}}{4}$

Therefore, the solutions to the quadratic equation are:

$x=\frac{5}{4}+i\frac{\sqrt{511}}{4},\:x=\frac{5}{4}-i\frac{\sqrt{511}}{4}$

4 0

3 years ago

Right triangle EFG and right triangle EHG overlap as shown below. Angle HEG measures 35° and angle FGE measures 30°.

lesantik [10]

Given:

Triangle EFG and EHG are two right triangles.

$m\angle HEG=35^\circ$

$m\angle FGE=30^\circ$

To find:

The values of x and y.

Solution:

In triangle EFG,

$m\angle EFG+m\angle FGE+m\angle FEG=180^\circ$ [Angle sum property]

$90^\circ+30^\circ+(x+35)^\circ=180^\circ$

$(x+155)^\circ=180^\circ$

$x+155=180$

$x=180-155$

$x=25$

In triangle EHG,

$m\angle EHG+m\angle HEG+m\angle EGH=180^\circ$ [Angle sum property]

$90^\circ+35^\circ+(y+30)^\circ=180^\circ$

$(y+155)^\circ=180^\circ$

$y+155=180$

$y=180-155$

$y=25$

Therefore, the value of x is 25 and the value of y is also 25.

3 0

3 years ago

What is 65 percent of 181

Lady_Fox [76]

65% of 181 is 117.65

6 0

3 years ago

Read 2 more answers

Which numbers are rational and which are irrational?

Kamila [148]

20π=irrational

√ 25=irrational

- 61.38=rational

52.1=rational

-√ 13=irrational

5 0

3 years ago