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2 years ago

ABC is a triangle. ACD is an isosceles triangle. Find ACB and ABC.

Mathematics

1 answer:

GREYUIT [131]2 years ago

7 0

Answer:

∠ ACB = 128° and ∠ABC = 32°

Step-by-step explanation:

∠ ADC = ∠ CAD (base angles theorem)

∠ ACD = 82° (angles in a triangle add to 180°)

∠ ACB = 128° (angles around a point add to 360°)

∠ ABC = 32° (angles in a triangle add to 180°)

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Graphing Natural Exponential Functions In Exercise,sketch the graph of the function.See Example 1.

serg [7]

Answer:

See the graph and explanation below.

Step-by-step explanation:

For this case we have the following function:

$f(x) = e^{1-x}$

We can calculate some points in order to see the tendency of the graph, we can select a set of points for example $x =-2,-1.5,-1,0,1,1,5,2$ and we can calculate the values for f(x) like this

x=-2

$f(x=-2) =e^{1+2}= e^{3}=20.086$

x=-1.5

$f(x=-1.5) =e^{1+1.5}= e^{2.5}=12.182$

x=-1

$f(x=-1) =e^{1+1}= e^{2}=7.389$

x=0

$f(x=0) =e^{1-0}= e^{1}=2.718$

This point correspond to the y intercept.

x=1

$f(x=1) =e^{1-1}= e^{0}=1$

x=2

$f(x=2) =e^{1-2}= e^{-1}=0.368$

We don't have x intercepts for this case since the functionnever crosses the x axis.

And then we can see the plot on the figure attached.

5 0

3 years ago

if craig drove his truck 300 miles on 25 gallons of gas , how many miles will he be able to drive his truck on 15 gallons of gas

yuradex [85]

Answer:

180 miles

Step-by-step explanation:

15 is 3/5 of 25

180 is 3/5 of 300

5 0

3 years ago

Read 2 more answers

Roberto is a fan of the Los Angeles Angels baseball team. Since he works at night he only

tatiyna

Step-by-step explanation:

There are other factors than Roberto coming that could have affected the outcome of the game. For example, maybe the night games were against better teams to generate better ratings in prime time. Moreover, maybe the Angels do better at home due to home-field advantage. There are many factors such as these that could explain why Roberto witnessed such a high win rate at the games he went to, so it cannot be concluded that Roberto's attendance caused the Angels to win.

7 0

2 years ago

Define mass and volume flow rates. How are they related to each other?

Anettt [7]

Answer:

The mass of a substance that passes per unit of time is called the mass flow rate, the unit of mass flow rate is kilogram per second in SI units.

$\rho=\frac{\dot{M}}{\dot{V}}$

Step-by-step explanation:

Consider the provided information.

We need to Define mass and volume flow rates and how they are related.

The mass of a substance that passes per unit of time is called the mass flow rate, the unit of mass flow rate is kilogram per second in SI units.

The volume of fluid which passes per unit time is called volume flow rate.

The relation between them is:

The Mass flow rate = Density × Volume flow rate

$\rho=\frac{\dot{M}}{\dot{V}}$

Where ρ is the density.

8 0

3 years ago

The points (-6, r)<br> and<br> (6,3) lie on a line with slope 3/4. Find the missing coordinate r.

iren [92.7K]

Answer:

r=-6

Step-by-step explanation:

$m=\frac{y2-y1}{x2-x1} \\\frac{3-r}{6-(-6)} =\frac{3}{4} \\4(3-r)=3(12)\\12-4r=36\\-4r=24\\r=-6$

8 0

3 years ago