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spin [16.1K]
3 years ago
10

Help me with #5 pleaseeeeeeeeeee

Mathematics
1 answer:
earnstyle [38]3 years ago
6 0

Answer:

\angle 1 = 45 degrees

Step-by-step explanation:

Sum of 3 angles in a triangle is 180..

The angles given are:

60

7x + 12

1

So we sum to 180 and write:

60+7x+12+\angle 1=180\\72+7x+\angle 1=180\\7x+\angle 1=108

Also, straight angle is 180 degrees, thus Angle 1 and (14x + 9) angle is sum to 180, thus we can write:

14x+9+\angle 1=180\\14x + \angle 1=171

Or we can write this as:

14x + \angle 1=171\\\angle 1 = 171 - 14x

We substitute this expression for Angle 1 into 1st equation we got and solve for x first,

7x+\angle 1 = 108\\7x+( 171 - 14x)=108\\-7x=-63\\x=9

Since x = 9, the angle "14x + 9" would be:

14(9) + 9 = 135

Hence Angle 1 would be:

\angle 1 + 14x + 9 = 180\\\angle 1 + 135 = 180\\\angle 1 = 45

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In the figure, solve for x and y.
evablogger [386]

Answer:

y=124°

x=67°

Step-by-step explanation:

For the triangle on the right

180-74-50=56°

then y= 180-56=124°

For the triangle on the middle (that small triangle)

180-85(Head opposite angles)-50=45°

So

x=180-45-68=67°

5 0
3 years ago
If -48 equals 6(a) then a is what<br>​
Oksi-84 [34.3K]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

<em>Expression:</em>

\frac{-48}{6}=\frac{6}{6}a

 -8 = a

Your answer is -8.

I hope this helps!

8 0
3 years ago
Help me and please explain
k0ka [10]

Answer:

4 attendees

Step-by-step explanation:

we can create and equation (x is the amount of attendees) $8 per attendee at a total of $32 is 8x=32 which you divide on both sides getting x=4 or 4 attendees

4 0
3 years ago
The equation f(x) = 3x2 − 24x + 8 represents a parabola. What is the vertex of the parabola?
s2008m [1.1K]

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{-24}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad  \left(-\cfrac{ b}{2 a}~~~~ ,~~~~  c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{-24}{2(3)}~~,~~8-\cfrac{(-24)^2}{4(3)}  \right)\implies (4~~,~~8-48)\implies (4~~,~-40)

5 0
3 years ago
Written as a simplified polynomial in standard form, what is the result when (3x+7)^2 is subtracted from 3?
nadezda [96]

Given:

(3x+7)^2 is subtracted from 3.

To find:

The result of the given statement in the standard form of the polynomial.

Solution:

We need to find the result when (3x+7)^2 is subtracted from 3.

So, the resulted polynomial can be written as:

P(x)=3-(3x+7)^2

On simplification, we get

P(x)=3-((3x)^2+2(3x)(7)+(7)^2)               [\because (a+b)^2=a^2+2ab+b^2]

P(x)=3-(9x^2+42x+49)

P(x)=3-9x^2-42x-49

P(x)=-9x^2-42x-46

Therefore, the resulted polynomial in standard form is -9x^2-42x-46.

7 0
2 years ago
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