Answer:
55
Step-by-step explanation:
The three angles form a straight line, so they add to 180.
x + x + 70 = 180
Combine like terms
2x+70 =180
Subtract 70 from each side
2x+70-70 =180-70
2x= 110
Divide by 2
x = 55
SQT = x
So SQT = 55
Answer:
Step-by-step explanation:
Remark
The problem asks you to identify the triangles. They are similar. The reason they are similar is by AA. That means that 2 of the angles are identified as equal in each triangle.
Proof
Both triangles contain a right angle....................That's given.
The mirror has an interesting property. It is stated as the angle of incidence = the angle of reflection. That property is marked by the lines hitting the mirror towards your right. If you do not know what incidence and reflection mean, just notice that the angles are marked as equal and call it given.
The base angles are equal ....................................Given
Here it is more formally
B and D are right angles ..................... Given
<AMB = <CMD Property of a mirror
Triangle AMB similar Triangle CMD AA in 1 triangle = AA in the other.
9514 1404 393
Answer:
- $1000
- $600
- $250
Step-by-step explanation:
Let t represent the third-place prize value. Then the first place prize has a value of 2t+500, and the second-place prize is 2t+100. The total value of the three prizes is ...
t +(2t+500) +(2t+100) = 1850
5t +600 = 1850
5t = 1250
t = 250 . . . . . . . . . . . third place prize
2t +500 = 1000 . . . . first place prize
1000 -400 = 600 . . .second place prize
The prizes for 1st, 2nd, and 3rd places are $1000, $600, and $250, respectively.
For this case we can use the following trigonometric relationship to solve the problem:
Where,
C.O: opposite leg
h: hypotenuse
Substituting values we have:
Clearing x we have:
Making the corresponding calculations we have:
Answer:
The value of x is given by:
Answer:
1/2.
Step-by-step explanation:
Multiply each term by 28 to remove the fractions>
4y + 7 = 9
4y = 2
y = 1/2.
