<u>Corrected Question</u>
Quadrilateral QRST is inscribed in circle W as shown below. The measure of ∠QRS is 12 degrees less than three times the measure of ∠QTS and
mRQT=mRST .
(a)Determine the measure of Angle QTS .
(b)What is the common measure of angles RQT and RST ?
Answer:
(a)48 degrees
(b)90 degrees
Step-by-step explanation:
Theorem: Opposite angles of a cyclic quadrilateral are supplementary.
(a)
Let the measure of ∠QTS=x
Therefore: m∠QRS=3x-12
∠QTS and ∠QRS are opposite angles of a cyclic quadrilateral. By the theorem above:
x+3x-12=180
4x=180+12
4x=192
x=48 degrees
The measure of angle QTS is 48 degrees.
(b)Since mRQT=mRST
mRQT and mRST are opposite angles of a cyclic quadrilateral
Therefore:
mRQT+mRST=180 degrees
2mRQT=180
mRQT=90 degrees
Therefore, the common measure of RQT and RST is 90 degrees.
Answer:
3!2!/5! or 3/5 x 2/4 x 1/3 either way it makes 6/60 = 1/10
Z=34
^^^^^^^^^^^^^^^^^^^^^^^^^
142.35 miles. Just multiply 189.80 by 3/4 (or .75).
Answer:
$5659.11
Step-by-step explanation:
We are given;
- Time of loan maturity is 5 years
- Rate of compound interest is 7% compounded quarterly
- Principal amount of the car is $4000
We are required to determine the total amount he paid at the end of 5 years..
The concept being tested is compound interest;
We are going to use the compound interest formula;
Amount = P(1+r/100)^n
Where P is the the principal amount
r is the rate of interest
n is the interest periods
In this case;
n = (5 × 4) = 20
r = 7 ÷ 4 = 1.75 ( as the money was compounded quarterly)
Thus;
Amount =$ 4000 ( 1 + 1.75)^20
= $4000 (1.0175)^20
= $5659.11
Therefore, the money that Joe will have paid at the end of 5 years is $5659.11