The following quadrilateral is a parallelogram.

Mathematics

1 answer:

Natali5045456 [20]3 years ago

7 0

Answer:

Step-by-step explanation:

Angle Q and angle P are supplementary angles, so they add up to 180 degrees.

6x + 4 + 10x = 180

16x + 4 = 180

16x = 176

x = 176/16

x = 11

Put x in angle Q as 11 and solve.

6(11) + 4

66 + 4

= 70

Angle Q measures 70 degrees.

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Y^2 + 18y - 41 = 0<br> Y= <br> Y=

lana66690 [7]

Answer:

y= -9+√122, or -9 - √122

Step-by-step explanation:

You have to solve the equation for y to find each variable of the quadratic and applying the quadratic formula.

after solved, I got the answer as decimal,

y = 2.0453610.....

i simpler form : y = 2.05

Also, an answer can be y= -9+√122, or -9 - √122

6 0

2 years ago

Which expression simplifies...

Zina [86]

Answer:

see below

Step-by-step explanation:

If suffices to look at the last term. It must simplify to 4/(3w²), so the exponents of z must match in numerator and denominator, and the ratio of constants must reduce to 4/3.

The exponents of z have the right values in choices B and D, but the ratio of constants only matches in choice D. Looking at the rest of choice D, we see that we can factor 6w²z² from both numerator and denominator, then factor 2 from the remaining numerator to make it match the desired form.

$\dfrac{(12w^2z^4-24w^2z^2)}{18w^4z^2}=\dfrac{6w^2z^2}{6w^2z^2}\cdot\dfrac{2z^2-4}{3w^2}=\dfrac{2(z^2-2)}{3w^2}$