Find the equivalent expression using the same bases. (34*71)^6

Select ALL the correct answers.

shepuryov [24]

When a quadrilateral is inscribed in a circle, the opposite angles are supplementary

The description of the angles in the quadrilaterals are:

b. m∠M = 55°, m∠J = 48°, and m∠L = 132°
d. m∠L = 40°, m∠M = 60°, and m∠K = 120°
e. m∠K = 72°, m∠L = 44°, and m∠M = 108°
f. m∠J = 105°, m∠K = 65°, and m∠L = 75°

<h3>How to describe the angles</h3>

The quadrilateral is given as: JKLM

The opposite angles are:

Angles J and L
Angles K and M

The opposite angles are supplementary

So, we have:

$J + L = 180$

$K + M = 180$

Next, we test the options

Option (a)

$J + L = 180$

$125 + 35 = 160$

This is not true

Option (b)

$J + L = 180$

$48 + 132 =180$

This is true

Option (c)

$K + M = 180$

$12 + 78 = 180$

This is not true

Option (d)

$K + M = 180$

$120 + 60 = 180$

This is true

Option (e)

$K + M = 180$

$72 + 108= 180$

This is true

Option (f)

$J + L = 180$

$105 + 75 = 180$

This true

Hence, the description of the angles in the quadrilaterals are (b), (d), (e) and (f)

Read more about inscribed quadrilaterals at:

brainly.com/question/26690979

6 0

2 years ago

What is the approximate distance from the origin to the point (3, −4, 5)? Round to the nearest unit. 4 units 7 units 8 units 9 u

Dafna11 [192]

Answer:

Option B is correct.

Step-by-step explanation:

The distance formula used is:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2}$

We need to find distance between origin and other point (3,-4,5)

Origin is: (0,0,0)

x₁ = 0, y₁ = 0, z₁ =0 and x₂= 3, y₂= -4 and z₂ = 5

Putting values in the distance formula we get:

$d=\sqrt{(3-0)^2+(-4+0)^2+(5-0)^2}\\d=\sqrt{(3)^2+(-4)^2+(5)^2}\\d=\sqrt{9+16+25}\\d=\sqrt{50}\\d=7$

The Distance from the origin to the point (3, −4, 5) is 7 units.

Option B is correct.

3 0

3 years ago

Given g(x)=Squareroot x-4 and h(x)=2x-8, what is g(h(10))

yan [13]

Answer:

$g(h(10)) = 2\sqrt 2$

Step-by-step explanation:

Given

$g(x) = \sqrt {x - 4$

$h(x) = 2x - 8$

Required

$g(h(10))$

First, calculate $g(h(x))$

We have:

$g(x) = \sqrt {x - 4$

This gives:

$g(h(x)) = \sqrt {h(x) - 4$

Substitute $h(x) = 2x - 8$

$g(h(x)) = \sqrt {2x - 8 - 4$

$g(h(x)) = \sqrt {2x - 12$

Substitute $x = 10$

$g(h(10)) = \sqrt {2*10 - 12$

$g(h(10)) = \sqrt {20 - 12$

$g(h(10)) = \sqrt {8\\$

Split

$g(h(10)) = \sqrt {4} * \sqrt 2$

This gives

$g(h(10)) = 2\sqrt 2$

8 0

2 years ago

Read 2 more answers

Which numbers is 90 divisible by

SIZIF [17.4K]

1 x 90

2 x 35

3 x 30

5 x 18

6 x 15

9 x 10

7 0

3 years ago

Read 2 more answers

What is the image of point (-6,1) after the reflection over the line y=2

Lynna [10]

The image is (-6, 3)

Hope it helps!

5 0

2 years ago