The measure of m∠J=90°, m∠G=55° and m∠H=35°
Step-by-step explanation:
Inscribed angles subtended by a diameter are right angles. Hence angle GJH =90°
The diameter GH and chord GJ intercepts an arc with a measure of 70°.The measure of an arc of a circle is equal to the measure of the central angle that intercepts the arc. Hence angle GOJ=70°. Radius of circle GO=OJ, which means triangle GOJ is an isosceles triangle thus ∠OJG=∠OGJ =(180° -70°) /2 = 55°. m∠G=55°
m∠H = (180°-(90°+55°) ) = 180° - 145° =35°
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Angles subtended by a diameter :brainly.com/question/10345730
Keywords : measures, angles, diameter, chord, intercepts, arc
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Your question is not clear because of the grammar used. So I was only able to come up to this solution: 30/100 multiply by x gives us 18. So x= 60. The total math problems are 60. James solved 18 ( 30% of 60) now he needs to solve 70% remaining of the 60 problems. So 60 - 18 = 42.
Answer:
I think x has no value in that function
Step-by-step explanation:
Answer:
(A)-494
Step-by-step explanation:
Given the arithmetic series
The terms in the sequence are:
- When k=1, 4-3k=4-3(1)=1
- When k=2, 4-3k=4-3(2)=-2
- When k=3, 4-3k=4-3(3)=-5
Therefore, the terms in the sequence are: 1, -2, -5, ...
First term, a =1
Common difference, d=-2-1=-3
The sum of an arithmetic series, ![S_n=\dfrac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Therefore:
![S_{19}=\dfrac{19}{2}[2(1)+(19-1)(-3)]\\=9.5[2+18*-3]\\=9.5[2-54]\\=9.5*-52\\=-494](https://tex.z-dn.net/?f=S_%7B19%7D%3D%5Cdfrac%7B19%7D%7B2%7D%5B2%281%29%2B%2819-1%29%28-3%29%5D%5C%5C%3D9.5%5B2%2B18%2A-3%5D%5C%5C%3D9.5%5B2-54%5D%5C%5C%3D9.5%2A-52%5C%5C%3D-494)
The correct option is A.
Taber invested money in an account where interest is compounded every year. He made no withdrawals or deposits.
The function A(t) = 525(1 + 0.05)t represents the amount of money in the account after t years.
The function is explained as below
Amount = Principal * ( 1 + interest rate ) ^ time
Principal is the amount that is invested in the beginning
Therefore, Taber originally invested $525
