John pays $15 per hour plus a fee of $10 to get his house cleaned.if he has to pay $160 how many hours did he get his house clea
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Hey there mate ;), I'm Benjemin.
Nice to meet you.
Now let's solve your question :)
<u>Step</u><u> </u><u>1</u><u>:</u><u>-</u> Re-draw the triangle. Check the attached first image.
<u>Step</u><u> </u><u>2:-</u> Considering the triangle ABC, it can be seen that the triangle is isosceles. This means that angles ABC and ACB are equal. To get the value of X,
<u>Step</u><u> </u><u>3</u><u>:</u><u>-</u> Draw another part of the picture to find the other X, for it, check second attached image.
To get BCD, Using alternate angles theorem,
ABC = BCD <em>(Alternate angles are equal)</em>
<em>=</em><em>></em><em> </em><em> </em>ABC = 35°
=> x = BCD = 35°
Therefore, value of x is <u>35°</u> and 2X=2×35=<u>70°</u>
Graphing questions are more difficult to answer without uploading images.You could use technology (a graphics calculator or graphics packages available on the Internet) to do the graphing for you.
Here's a graph using an Internet software (note the colour coding).You will notice that y=2.5^x (blue) grows faster that y=2.0^x (red), and that y=0.2^x (orange) decays faster than y=0.5^x (green).
The graphs show that they all pass through (0,1). After that, you will see that the blue line rises above the red line for x>0, meaning that 2.5^x grows faster than 2.0^x. Similarly, you will note that y=0.2^x (orange) goes below (for x>0) the curve for y=0.5^x (green), meaning that 0.2^x decays faster.
Here's a graph using an Internet software (note the colour coding).You will notice that y=2.5^x (blue) grows faster that y=2.0^x (red), and that y=0.2^x (orange) decays faster than y=0.5^x (green).
The graphs show that they all pass through (0,1). After that, you will see that the blue line rises above the red line for x>0, meaning that 2.5^x grows faster than 2.0^x. Similarly, you will note that y=0.2^x (orange) goes below (for x>0) the curve for y=0.5^x (green), meaning that 0.2^x decays faster.
First of all...YOU'RE NOT DUMB!!! You just need some help! Being confident in your knowledge/skills is half the work! ;D
And second...
PART 1:
28. Polygon ABCDE is a pentagon (it has five sides). The sum of the interior angle measures for a pentagon is 540°. Here's what we know:
m<A = 90°
m<B = 90°
m<D = 90°
m<C = m<E
First, find the sum of the measures of angles A, B, and D.
(90)(3) = 270°.
Next, find the combined angle measure of angles C and E.
540 - 270 = 270°.
Finally, find the measure of angle E (or m<AED).
270 / 2 = 135°.
So, to fill in the blanks:
90 · 3 + x · 2 = 540
m<AED = 135°.
29.
(a) 360°
(b) hexagon
(c) 1080
(d) hendecagon (11 sides)
I have attached a table containing a list of polygons, their side-count, and the sum of their interior angles.
PART 2:
Complimentary angles are angles whose measures add to equal 90°.
Supplementary angles are angles whose measures add to equal 180°.
30. 35° + 55° = 90°; Complimentary.
31. 62° + 108° = 170°; Neither.
Hope this helps!
