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2 years ago

In the figure, AB || CD and mZ2 = 55°.

Mathematics

1 answer:

Travka [436]2 years ago

4 0

Answer:

m <2=m <8(Alternative exterior angles)

Therefore m <8=55°

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Marc baked brownies in the brownie pan shown below. Each day, he is going to eat 20 square centimeters of brownie from the pan.

podryga [215]

Answer:

$35\ days$

Step-by-step explanation:

step 1

Find the area of the trapezoid (brownie pan)

$A=\frac{1}{2}(29+41)20=700\ cm^{2}$

step 2

To find the number of days , divide the area of the brownie pan by 20 square centimeters of brownie

$\frac{700}{20}=35\ days$

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3 years ago

Find the value of x in each pair of similar figures

LekaFEV [45]

Answer:

Step-by-step explanation:

the pair of triangles is showing a dilations with a scale factor of 2

6/3=2

so it gives us 4 as the before answer and 4x2=8 so x=8

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2 years ago

Read 2 more answers

There are two twins. One twin wants to explore the planet near Proxima Centauri and leaves on a spaceship traveling at 90% of th

miskamm [114]

Answer:

<em>4.7 years</em>

Step-by-step explanation:

Distance of planet from Earth = 1.3 parsec

We know that 1 parsec = 3.26 light years

And a light year is the distance traveled by light in time period of 1 year.

So, Distance of planet from Earth = 1.3 $\times$ 3.26 = 4.24 light years

Given that, the person travels at a speed equal to 90% of the light speed.

To travel to the planet from Earth, Light takes 4.24 years.

To travel the distance $D$ , at a speed $s$ light takes time of 4.24 years.

To travel the distance $D$ , at a speed $0.90s$ , the person takes time:

$\dfrac{4.24}{0.90} = \bold{4.7\ years}$

So, the twin on Earth ages by <em>4.7 years.</em>

7 0

2 years ago

Sonya is 22 years younger than her mother. the sum of their age is 32. how old are they

Fantom [35]

Answer:

Sonya is ten her mother is 22

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers

slamgirl [31]

Answer:

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

Step-by-step explanation:

Let be $\vec u = (2,-3)$ , its unit vector is determined by following expression:

$\hat {u} = \frac{\vec u}{\|\vec u \|}$

Where $\|\vec u \|$ is the norm of $\vec u$ , which is found by Pythagorean Theorem:

$\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}$

$\|\vec u\| = \sqrt{13}$

Then, the unit vector is:

$\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)$

$\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

6 0

2 years ago