Solve for x in the diagram below

Mathematics

2 answers:

Rudik [331]3 years ago

6 0

total angle on a straight line is 180 sum up the angles and equate to 180

Advocard [28]3 years ago

6 0

Answer:

x= 20

Step-by-step explanation:

Hello

I think I can help you with this

a flat angle is, in terms of geometry, the space between an intersection between two lines whose opening measures 180 degrees or 180º. Since the angle is 180º there is no difference between two lines or a line and we can say that the angles in a straight line always add up to 180º.

Step 1

define

according to the graph

3x+80+2x=flat angle=180°

3x+80+2x=180°

Step 2

solve for x

3x+80+2x=180°

5x+80=180

subtract 80 in each side

5x+80-80=180-80

5x=100

divide by 5

(5x)/5=100/5

x=20

Have a great day.

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If the perimeter is 168 and the width is 6 feet longer than thr length what are the dimensions

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2 years ago

Given that y= 12 cm and θ= 24 °, work out x rounded to 1 DP.<br><br> (not drawn to scale.)

padilas [110]

Answer:

$\huge\boxed{\sf x = 5.3}$

Step-by-step explanation:

<h3><u>Given:</u></h3>

y = 12 cm

θ = 24°

Using trigonometric ratio, tan.

$\displaystyle \boxed{tan \theta = \frac{opposite}{adjacent} }\\\\tan \ 24 = \frac{x}{12} \\\\0.445 = \frac{x}{12} \\\\Multiply \ 12 \ to \ both \ sides\\\\0.445 \times 12 = x\\\\5.3 = x\\\\x = 5.3\\\\\rule[225]{225}{2}$