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3 years ago

The minor arc measures of circle Z are shown in the figure use the drop down menus to complete each statement

Mathematics

2 answers:

AlexFokin [52]3 years ago

5 0

Answer:

TZY & YZX

Step-by-step explanation:

serg [7]3 years ago

3 0

Answer:

Angle UZT is congruent to angle TZY

Angle VZW is congruent to angle YZX

Step-by-step explanation:

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Find the common ratio 24,18,37/2,81/8

Vinil7 [7]

Note: The third term of the sequence should be $\dfrac{27}{2}$ instead of $\dfrac{37}{2}$ , otherwise the sequence has no common ratio.

Given:

The given sequence is

$24,18,\dfrac{27}{2},\dfrac{81}{8}$

To find:

The common ratio of the given sequence.

Solution:

The quotient of each pair of consecutive terms are:

$\dfrac{18}{24}=\dfrac{3}{4}$

Similarly,

$\dfrac{\dfrac{27}{2}}{18}=\dfrac{27}{36}$

$\dfrac{\dfrac{27}{2}}{18}=\dfrac{3}{4}$

And,

$\dfrac{\dfrac{81}{8}}{\dfrac{27}{2}}=\dfrac{81}{8}\times \dfrac{2}{27}$

$\dfrac{\dfrac{81}{8}}{\dfrac{27}{2}}=\dfrac{3}{4}$

Therefore, the common ratio of the given sequence is $\dfrac{3}{4}$ or 0.75.

8 0

3 years ago

Verify that the roots of 5x²- 6x -2 = 0 are <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%20%2B%20%5Csqrt%7B19%7D%20%7D%7B5%7D%2

Mice21 [21]

Answer:

Proof below.

Step-by-step explanation:

Quadratic Formula

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Given quadratic equation:

$5x^2-6x-2=0$

Define the variables:

a = 5
b = -6
c = -2

Substitute the defined variables into the quadratic formula and solve for x:

$\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}$

$\implies x=\dfrac{6 \pm \sqrt{36+40}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{76}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{4 \cdot 19}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{4}\sqrt{19}}{10}$

$\implies x=\dfrac{6 \pm2\sqrt{19}}{10}$

$\implies x=\dfrac{3 \pm \sqrt{19}}{5}$

Therefore, the exact solutions to the given quadratic equation are:

$x=\dfrac{3 + \sqrt{19}}{5} \:\textsf{ and }\:x=\dfrac{3 - \sqrt{19}}{5}$

Learn more about the quadratic formula here:

brainly.com/question/28105589

brainly.com/question/27953354

3 0

2 years ago

Read 2 more answers

'The quotient of a number and 6 minus 3 is 1

lianna [129]

Answer:

x=24

Step-by-step explanation:

The Quotient(dividing) of a number(x) and 6 minus(-) 3 IS(=) 1.

Which turns into:

$\frac{x}{6}$ - 3 = 1

We want to get x by itself so we divide the entire equation by 6.

6 ( $\frac{x}{6}$ - 3 = 1 )

x - 18 = 6

We want to move the plain numbers to one side so x can be by itself. So we add 18 to both sides.

x = 24

6 0

3 years ago

Match the graph with the related table

sladkih [1.3K]

I believe the answer is C

6 0

2 years ago

One lap around a track is one eigth of a mile.a horse ran a distance of 11 laps in 3 minutes and 30 seconds.what is the horses a

pantera1 [17]

Miles earned= ((1÷8)×11)÷1
= 1.375 miles
average speed=total distance/total time
=1.375÷3.5=0.3928 miles/min

5 0

3 years ago