All categories

4 years ago

On circle O below, SE is a diameter. What is the measure of ISE

Mathematics

2 answers:

ddd [48]4 years ago

7 0

Angle LIS is congruent to angle DIE making both of them 61°, angle LID and angle SIE are congruent as well. When you add LIS, DIE, LID, and SIE all add to 360°. So 61+61 equals 122. 360-122 is 238. You divide 238 by 2 to get 119. That will be the measure of angle SIE. A triangle is a total of 180° so add up the angles 27° + 119° to get 146°. Subtract that from 180° to get 34°.

34° is the measure of ISE

Hope this helps!

dsp734 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

Convert the following fraction to a decimal.

Nookie1986 [14]

I think it’s C but I could be wrong but I don’t think I am

6 0

3 years ago

The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°

GenaCL600 [577]

The measure of angle ABC is 45°

Explanation

Vertices of the triangle are: A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) $=\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5$

Length of the side AC (b) $= \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}$

Length of the side AB (c) $= \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}$

We need to find ∠ABC or ∠B . So using Cosine rule, we will get...

$cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree$

So, the measure of angle ABC is 45°

7 0

4 years ago

Read 2 more answers

Although the actual amount varies by season and time of day the average volume of water that falls over the falls each second is

bulgar [2K]

262.8*10 to the 7th power

3 0

3 years ago

Help PLZ

Makovka662 [10]

Answer:

If they are travelling in opposite directions, their total distance is the 135. So add their distances together to get 135

x=Quinn's speed

x+5 = James' speed

they each travel for 5 hours

speed x time = distance

x(5) + (x+5)(5) = 135

Quinn's distance + James' distance = total distance

5x+5x+25=135

10x = 110

x = 11

Quinn travels at 11 mph and James travels at 16 mph

Quinn travels 55 miles (5x11)

and James travels 80 miles (16 x 5)

80 + 55=135

5 0

3 years ago

Calculate exactly how many miles not light year is the star Sirius is from the sun

algol13

Answer:

5.06208e+13 Hope it helps :)

Step-by-step explanation:

8 0

3 years ago