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2 years ago

The perimeter of a rectangle

Mathematics

1 answer:

mina [271]2 years ago

6 0

XZ=XY+YZ

JL=JK+KL

use the trigonometric values table or unit circle to calculate the expression

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The triangles are similar by:

Tamiku [17]

Answer:

E. by the SAS similarity theorem.

Step-by-step explanation:

Included angle x° in ∆ ABC ≅ included angle x° in ∆EDC (vertical angles are equal)

DC/BC = 240/150 = 1.6

EC/AC = 320/200 = 1.6

This implies that the ratio of two corresponding sides of both triangles are the same.

Two triangles are considered similar to each other by the SAS similarity theorem of they have a corresponding included angle that is equal and two corresponding sides that are congruent to each other. Therefore, both triangles are similar by the SAS similarity theorem.

8 0

3 years ago

Question 16

anastassius [24]

Step-by-step explanation:

Distance between 2 towns 360 miles showed length 3 inches

1800 miles = ? inches

360 miles = 3 inches

1 miles = 3/360 inches

1800 miles = 3/360 × 1800

= 15 inches

3 0

2 years ago

1. If you know that f(x) + g(x) = -x+2, then what two equations could they be?

aleksley [76]

Answer:

O f(x) = 2x3 – x+4 and g(x) = -2x + x - 6

Step-by-step explanation:

4 0

3 years ago

I need help with this problem

cupoosta [38]

$\bf \begin{cases}
(n^4)^p=n^{12}\to &n^{4\cdot p}=n^{12}\to 4p=12
\\
&\qquad \uparrow \\
&\textit{same bases, thus}\\
&\qquad \downarrow 
\\
n^3\cdot n^q=n^6\to &n^{3+q}=n^6\to 3+q=6
\end{cases}
\\\\\\
thus\implies 
\begin{cases}
4p=12\implies p=\frac{12}{4}
\\\\
3+q=6\implies q=6-3
\end{cases}
\\\\

\\\\
then\implies p\cdot q=\boxed{?}$

7 0

3 years ago

Evaluate tan45/sin30 . In your final answer, include all calculations.

Maslowich

From the identity $\displaystyle{ \tan x= \frac{\sin x}{\cos x}$ , and from the values:

$\sin45^{\circ}=\cos45^{\circ}= \frac{ \sqrt{2}}{2}$ ,

we have: $\displaystyle{ \tan 45^{\circ}= \frac{\sin 45^{\circ}}{\cos 45^{\circ}}= \frac{ \frac{ \sqrt{2}}{2}}{\frac{ \sqrt{2}}{2}} =1$ .

We also know that $\sin30^{\circ}= \frac{1}{2}$ .

Thus, $\displaystyle{ \frac{\tan 45^{\circ}}{\sin30^{\circ}} = \frac{1}{\frac{1}{2}}=2.$

Answer: 2

8 0

3 years ago