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3 years ago

In the figure below, XZ =DF and _X = D.

Mathematics

1 answer:

yuradex [85]3 years ago

4 0

Answer:

Option (4)

Step-by-step explanation:

Given : XZ ≅ DF and ∠X ≅ ∠D

To prove : ΔXYZ ≅ ΔDEF

Statements Reasons

1). XZ ≅ DF 1). Given

2). ∠X ≅ ∠ D 2). Given

3). XY ≅ DE 3). Required information

4). ΔXYZ ≅ ΔDEF 4). By SAS property of congruence

Therefore, Option (4) will be the answer.

You might be interested in

Which of the following is known as a simpler form of Euclid's fifth postulate

Deffense [45]

Answer:

A. Playfair's axiom.

Step-by-step explanation:

In a plane, given a line and a point not on it, at most, one line parallel to the given line can be drawn through the point.

- this implies Euclid's fifth postulate.

8 0

2 years ago

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 20 N acts on

jeka94

The acceleration of the object will be 10 m/s²

Step-by-step explanation:

Direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other

If y varies directly with x, then y ∝ x
y = k x, where k is the constant of variation

For a moving object, the force acting on the object varies directly with the object's acceleration.

Assume that the force is F and the acceleration is a

∵ F ∝ a

∴ F = k a

∵ F = 20 newtons

∵ a = 4 m/s²

- Substitute these values in the equation above to find k

∵ 20 = k (4)

∴ 20 = 4 k

- Divide both sides by 4

∴ k = 5

- Substitute the value of k in the equation

∴ F = 5 a ⇒ equation of variation

∵ F = 50 Newtons

∵ F = 5 a

∴ 50 = 5 a

- Divide both sides by 5

∴ 10 = a

∴ a = 10 m/s²

The acceleration of the object will be 10 m/s²

Learn more:

You can learn more about variation in brainly.com/question/10708697

#LearnwithBrainly

7 0

3 years ago

how much would $150 invested at 8% interest compounded anually be worth after 13 years? A(t)=P(1+r/n)^

PIT_PIT [208]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$150\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &13
\end{cases}
\\\\\\
A=150\left(1+\frac{0.08}{1}\right)^{1\cdot 13}\implies A=150(1.08)^{13}\implies A\approx 407.9435589$

3 0

3 years ago

An angle measuring 3.5 radians is equal to which of the angle measures given below? Check all that apply.

Tresset [83]

The answers are B & C.

First thing to d o is convert Radians to Degrees. 1 radians = 180/pi . So, 3.5 radians times 180 divided by $\pi$ = 200.5352283 or which could be rounded of to 200.54. Thus, confirming choice letter C and negating choices A and D.

Next thing to check is choice letter B. To do this, we need to convert the decimal value of the computed answer which is 0.5352283 to minutes and seconds by the following conversion factors.

1 degree = 60 mins
1 minute = 60 seconds

Now, we multiply 0.5352283 by 60 to get 32.113698 minutes, thus 32 minutes
then multiply 0.113698 by 60 to get 6.82188 ~ 7 seconds.

therefore, conversion would yield an answer 200 degrees 32 minutes and 7 seconds.

6 0

3 years ago

What is the slope of the line that passes through (-1, -7/3,) (8/3, 5)

Lera25 [3.4K]

Answer:

slope is m=2

Step-by-step explanation:

5-(-7/3)=22/3

divided by

8/3-(-1)=11/3

=22/3*3/11=2/1*1/1=2

8 0

3 years ago