Answer:
<em>HT </em>= 17
<<em>T</em> = 62°
<<em>H</em> = 28°
Step-by-step explanation:
1. Use the Pythagorean Theorem to find the length of the missing side.
a² + b² = c²
15² + 8² = c²
225 + 64 = c²
289 = c²
√289 = c
c = 17
The length of side HT is 17.
2. Use SOHCAHTOA to find the measure of <<em>T</em>. Since we know the measure of two sides, opposite (15) and adjacent (8), use the formula for tangent as tangent is opposite/adjacent.
Tangent = 
= 
= 1.875
Use the tan⁻¹ button on the calculator to find the value for <<em>T.</em>
tan⁻¹(1.875) = 61.9°
<<em>T = </em>62°
3. To find the measure of <<em>H, </em>you can either add up the two angles and subtract from 180° or use SOHCAHTOA.
90° + 61.9° + x = 180°
151.9° + x = 180°
x = 28°
or
We know two sides: opposite (8) and adjacent (15). So, we will use tangent.
Tangent = = 
= 0.5333333333
Take the tan⁻¹ to get the measure of <<em>H.</em>
tan⁻¹(0.5333333333) = 28.07 = 28°
Hope this helps. Please give a thanks and mark as brainliest. :)
60 degrees because a triangle can only have 180 degrees.
Answer:
The father is 59
Step-by-step explanation:
lets say each of the kids are twelve
30*5=150-36=114=59+55
30*5+ 150 the age of everyone in the family added together
12*3= 36 the age of all the kids
150-36=114 the age of the adults added together
we know the mother is 4 years younger than the father so to state off you can take 114 and divide it by two to get what half of it is then take take numbers that are four apart to find the ages that add up to 114.
Answer:
1. a = 2
2. x = 12
3. w = 2
Step-by-step explanation:
1. ok so 2a/5 we would want to separate it to 2/5 and a/5
2/5 x a/5 = 2a/5
next we want to subtract 2/5 from 8/10
8/10 - 2/5 or 8/10 - 4/10 = 4/10
now you have a/5 and 4/10
a/5 = 4/10
now you multiply each side by 5
a/5 x 5 = a
4/10 x 5 = 20/10 or 2
a = 2
2. ok so the x is kinda on it's own for this one but we still wan to get the x and the other numbers on opposite sides
1/16x + 1/4 - 1/4 = 1/16x
1/2 + 1/4 = 3/4
now we do that same last step
1/16x / 1/16 = x
3/4 / 1/16 = 12
x = 12
3. ill do one more and if you need more help just tell me
for this on we have the w on both sides so we have to get the variable(w) and the numbers on opposite sides
2w - 2 + 2 = 2w
1/2w + 7 - 1/2w = 7
2w + 1/2w = 5/2w or 2 1/2w
7 - 2 = 5
now we have to divide each side by 5/12 or 2 1/2
5/2w / 5/2 = w
5 / 5/2 = 2
w = 2
Answer:
20
Step-by-step explanation:
After asking so many questions of this type, I hope you understand the way to answer them.
5 types of noodles
4 choices of vegetable sides
Number of different pasta diners = 4 * 5 = 20
