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3 years ago

Which is the pair of congruent right angles?

Mathematics

2 answers:

Alex73 [517]3 years ago

8 0

The little squares at corner-B and corner-E were drawn there
to show that those are right angles.

Gekata [30.6K]3 years ago

3 0

Answer with explanation:

In Δ AB C and Δ A E D

1.≡∠AB C= ∠ A E D→→→[Each being 90°]

2.≡ B C= E D →→[Given]

3. ≡ ∠A CB = ∠ A DE →[Given]

⇒Δ AB C ≅ Δ A E D [By S AS]

≡∠ A B C and ∠ A E D, are congruent right angles.

In the Diagram given

∠AB C= ∠ A E D=90°

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What is 15/27 in a decimal?

amid [387]

Answer:

0.55555

Step-by-step explanation:

the 5 keeps repeating

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3 years ago

Read 2 more answers

Find the midpoint of the line segment with endpoints at the given coordinates (-6,6) and (-3,-9)

JulsSmile [24]

The midpoint of the line segment with endpoints at the given coordinates (-6,6) and (-3,-9) is $\left(\frac{-9}{2}, \frac{-3}{2}\right)$

<u>Solution:</u>

Given, two points are (-6, 6) and (-3, -9)

We have to find the midpoint of the segment formed by the given points.

The midpoint of a segment formed by $\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \text { and }\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right)$ is given by:

$\text { Mid point } \mathrm{m}=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

$\text { Here in our problem, } x_{1}=-6, y_{1}=6, x_{2}=-3 \text { and } y_{2}=-9$

Plugging in the values in formula, we get,

$\begin{array}{l}{m=\left(\frac{-6+(-3)}{2}, \frac{6+(-9)}{2}\right)=\left(\frac{-6-3}{2}, \frac{6-9}{2}\right)} \\\\ {=\left(\frac{-9}{2}, \frac{-3}{2}\right)}\end{array}$

Hence, the midpoint of the segment is $\left(\frac{-9}{2}, \frac{-3}{2}\right)$

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3 years ago

What two numbers does the square root of 85 fall between?

timofeeve [1]

Answer:

9 and 10

Step-by-step explanation:

The sqaure root of 85 is 9.21954445729.

9.21954445729 is greater than 9 but less than 10, meaning it falls in between them.

7 0

2 years ago

Which set of ordered pairs represents a function?

Mrac [35]

The second one because for every x value there is one and only one y value. If you plotted the points and graphed it, you would know it is not a function if it doesn't pass the vertical line test. Notice the same x values show up repeatedly in the other ordered pairs with different y values. Only one y value for every x value

5 0

2 years ago

what are the missing numbers?

crimeas [40]

Given:

The table of values of an exponential function.

To find:

The missing values in the exponential function.

Solution:

The general exponential function is defined as:

$y=a(b)^x$ ...(i)

Where, a is the initial value and b is the growth factor.

First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).

$10=a(b)^1$ ...(ii)

Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).

$20=a(b)^2$ ...(iii)

Dividing (iii) by (ii), we get

$\dfrac{20}{10}=\dfrac{a(b)^2}{ab}$

$2=b$

Putting $b=2$ in (ii), we get

$10=a(2)^1$

$\dfrac{10}{2}=a$

$5=a$

Putting $a=5,b=2$ in (i), we get

$y=5(2)^x$

The required exponential function for the given table of values is $y=5(2)^x$ . So, the missing values are 2 and x, where 2 is in the base and x is in the power.

8 0

2 years ago