BD is a angle bisector and Angle bisector theorem says
ratio of other sides of the triangle formed by bisector is equal
BA/AD=BC/CD
lets say AD is x so DC will be 4-x
3/x=4.5/4-x
x=1.6
AD=1.6units
so DC=4-x=4-1.6= 2.4 units
Answer: 15 tests per hour.
Step-by-step explanation: Mrs. Wilbur did 30 tests in 2 hours, so you would divide to find the rate per hour. 15 should be your answer.
<h2><u>Solution:</u> </h2>
<u>Steps of Statement: </u>We will solve right Angled ∆ RST. We will use Trigonometric Ratio to solve this Question.
<u>Now, In ∆ RST , Where angle C is 90° and angle D is 60° </u>
∠RTS = 60°
So, Sin 60° = RS / RT
☛ √3/2 = 2√3 / RT
☛ RT = 4
<u>Now, Let's Solve Right angled ∆ QRT </u>
tan 45° = QR / RT
☛ 1 = x / 4
☛ x = 4
<h2>Therefore, Required Value of x is <u>4</u>. </h2>
Answer:
Step-by-step explanation:
The variable w is equivalent to y, and the variable z is equivalent to x.
Small (x)
9(x) + 9(x) - 1 = 30
2 x 9(x) - 1 = 30
2 x 9(x) = 30 + 1
2 x 9(x) = 30
simplify
9x = 31/2
x = 1/2 x log (3) (31/2)
or
x ≈ 1.24741