Let the measures of the base angles be x, and the measure of the vertex angle be y.
y is bisected, and "each resulting angle is 51 degrees larger than a base angle"
y/2=x+ 51, thus y=2x+102°.
The measures of the interior angles are x-x-(2x+102)
The sum of the measures of the interior angles of any triangle is 180°, thus we have:
x+x+2x+102°=180°
4x=180°-102°
4x=78°
x=78°/4=19.5°
The measure of the obtuse angle is 2x+102°=2*19.5°+102°=141°
Answer: 141°
We can see that both triangles are right angle triangle as per information given into picture. So we will prove that they are similar then use properties of similar triangle to find the value of d.
In triangle STV and triangle XWV:
∠STV = ∠XWV { both are equal to 90 degree}
∠TVS = ∠WVX { vertically opposite angles are equal}
Hence by AA (Angle Angle) similarity postulate of the triangles, It is proved that triangle STV and triangle XWV are similar.
We know that ratio of corresponding sides of similar triangles are equal so we can write:
350*180=400d
63000=400d
divide both side by 400
157.5=d
Hence final answer is d=157.5 m.
Answer:
Your account is going to be worst $405,142.92
Step-by-step explanation:
This is a compound interest problem.
The compound interest formula is given by:
Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
So, for this problem:
We want to find A
Your account is going to be worst $405,142.92
Answer:
The graph is symmetric. The mean and median are about equal in a symmetric graph. The median is shown as 109, so the mean is approximately 109.
Step-by-step explanation:
The graph is symmetric.
Because the graph is symmetric, the mean and median should be approximately equal.
According to the graph, the median is 109. Therefore, the mean is approximately 109.