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slamgirl [31]
3 years ago
8

The measures of the three angles of a triangle are given by 1. 3x +1 2. 2x -3, and 9x. What is the measure of the smallest angle

?
A. 13 degrees
B. 23 degrees
C. 29 degrees
D. 40 degrees
Mathematics
1 answer:
nordsb [41]3 years ago
4 0
Since the total measure of all the angles of a triangle is always 180, solve for x with the equation: 3x+1+2x-3+9x=180. x=13. Now plug in x and look for the smallest one, which will be B. 23 degrees.
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Please help me on these questions and explain it thanks
Korolek [52]
ABC = 180-120=60
ACB = 180-(40+60)=80
Therefore ECD= 80 as ACB and ECD are vertically opposite angles

the solution is A as that is where the graphs intersect each other
6 0
4 years ago
Simplify 5+2i/6+i
nlexa [21]

Given problem is \frac{(5+2i)}{(6+i)}

To simplify that we need to multiply and divide by conjugate of the denominator

conjugate of denominator 6+i will be 6-i as we just need to change sign of the imaginary part

Now multiply and divide by 6-i


=\frac{(5+2i)}{(6+i)}\cdot\frac{(6-i)}{(6-i)}

=\frac{30-5i+12i-2i^2}{36-6i+6i-i^2}

=\frac{30+7i-2i^2}{36-i^2}

=\frac{30+7i-2\left(-1\right)}{36-\left(-1\right)}

=\frac{30+7i+2}{36+1}

=\frac{32+7i}{37}

=\frac{32}{37}+\frac{7}{37}i

Hence final answer is \frac{32}{37}+\frac{7}{37}i

3 0
3 years ago
60 points to who answers with the work pls!!
Shkiper50 [21]

Answer:

Try c am sure it is correct

4 0
3 years ago
HELP ASAP!!!! <br><br> What is the surface area of the rectangular prism??
il63 [147K]
The surface area of a rectangular prism is measured by multiplying length, width, and height:

a = l•w•h

4 • 5 • 15

20 • 15 = 300

So the area of this rectangular prism is 300<span>in².</span>
7 0
4 years ago
Jeremy drew a polygon with four right angles and four sides with the same length. Name all the polygons that he could have drawn
sergejj [24]
Square. 

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A rectangle is a parallelogram, so parallelogram.

Equilateral.

Also Rhombus.

(I think there may be others but these are the few I know)
8 0
3 years ago
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