All categories

3 years ago

The diagram is a straightedge and compass construction. A is the center of one circle, and B is the center of the

Mathematics

1 answer:

aev [14]3 years ago

5 0

Answer:

Step-by-step explanation:

From the picture attached,

Two circles having centers A and B intersect each other at C and D.

We do a construction by joining points A and B to form a line segments AB.

From circle A,

AC ≅ AB ≅ AD [Radii of the circle A]

From circle B,

BC ≅ AB ≅ BD [Radii of the circle B]

Therefore, AC ≅ AD ≅ BC ≅ BD ≅ AB.

These segments of the quadrilateral are equal in measure.

You might be interested in

For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.

iragen [17]

Answer:

$-\frac{7}{3}$

Step-by-step explanation:

To solve this, we are using the average rate of change formula:

$m=\frac{f(b)-f(a)}{b-a}$

where

$m$ is the average rate of change

$a$ is the first point

$b$ is the second point

$f(a)$ is the function evaluated at the first point

$f(b)$ is the function evaluated at the second point

We want to know the average rate of change of the function $f(x)=0.5^x-6$ form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, $a=-3$ and $b=0$ .

Replacing values

$m=\frac{f(b)-f(a)}{b-a}$

$m=\frac{0.5^0-6-(0.5^{-3}-6)}{0-(-3)}$

$m=\frac{1-6-(8-6)}{3}$

$m=\frac{-5-(2)}{3}$

$m=\frac{-5-2}{3}$

$m=\frac{-7}{3}$

$m=-\frac{7}{3}$

We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is $-\frac{7}{3}$

4 0

2 years ago

Ashley has at most $75 to spend on clothes. She wants to buy a pair of jeans that cost $35 and the rest on t-shirts. T-shirts co

Katena32 [7]

Answer:

4 t-shirts

Step-by-step explanation:

75-35 = 40

at most she can buy 4, because if she buys 5, she uses 45 dollars

8 0

2 years ago

Determine the miss ing number in each sequence 30, ,19,13 1/2

enot [183]

The answer is 24.5.

The numbers are decreasing by 5.5, therefore, 30 - 5.5 = 24.5, and 24.5 - 5.5 = 19.

5 0

2 years ago

What is the slope for M(4,-8 negative) N(6,-1 negative)

labwork [276]

Answer:

m=7/2

Step-by-step explanation:

6 0

2 years ago

You stand 100’ from the base of a tower. The tower is 1,058’ tall. What is the angle from where you are standing to the top of t

hodyreva [135]

Answer: 85°

Step-by-step explanation:

Trig functions are remembered by

SOD CAD TOA,

sin = opposite / distance, cos = adjacent / distance, and tan = opposite / adjacent.

Here we have the adjacent side = 100, opposite side = 1058. The tower would fall over if it weren't vertical, and we assume the area is flat and level. So tangent of the answer is 10.58.

We need the angle whose tangent is 10.58.

On Android calculator you swipe left to get the trig functions, tap INV, if RAD is showing tap it to change it to DEG, and tap tan⁻¹. Swipe right and you see tan⁻¹(. Enter 10.58 and the result shows 84.6005606. If it shows 1.47655833 tap the RAD in upper left to change to DEG.

8 0

2 years ago