All categories

3 years ago

What type of angle is ∠CEB ? straight obtuse acute right

Mathematics

2 answers:

Levart [38]3 years ago

4 0

Acute, Meaning less than 90 degrees.

meriva3 years ago

3 0

∠BED and ∠CEA are vertical angles, so that means they are equal to each other.
∠CEA = 88

∠CEB and ∠AED must equal the same since they are also vertical angles, so we will make them both = x in an equation.

All of these angles will add up to 360° because they form a quadrilateral.
88 + 88 + x + x = 360
Combine like terms.

176 + 2x = 360
Subtract 176 from 360.

2x = 184
Divide both sides by 2.

x = 92

Since ∠CEB is larger than 90°, it is an obtuse angle.

You might be interested in

What is the standard form of the points (-3,4) (2,-6)

Bas_tet [7]

The standard form equation of the line connecting the two points is $2x + y = -2$

Linear equation in a standard form is given as $Ax + By = C$

where,

A, B, and C are constants or numbers

x and y are the variables.

To solve this problem, the following steps would be taken:

Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1}$

where,

$(x_1, y_1) = (-3,4)\\(x_2, y_2) = (2,-6)$

Substitute

$slope (m) = \frac{-6 - 4}{2 -(-3)} \\m = \frac{-10}{5}\\m = -2$

Step 2: Find the y-intercept (b) of the line by substituting $(x, y) = (-3,4)$ and $m = -2$ into $y = mx + b$ (slope-intercept form)

$4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2$

Step 3: Write the equation of the line in slope-intercept form by substituting $m = -2$ and $b = -2$ into $y = mx + b$

$y = -2x + (-2)\\y = -2x - 2$

Step 4: Rewrite the equation in standard form $(Ax + By = C)$

$y = -2x - 2\\$

Add $2x$ to both sides

$2x + y = -2x - 2 + 2x\\2x + y = -2$

The standard form equation of the points (-3,4) and (2,-6) is $2x + y = -2$

Learn more about standard form of two points of a linear equation here:

brainly.com/question/18446164

6 0

3 years ago

The radius of a circle is 8 cm<br> Calculate the circumference of the circle <br> [Use pi r = 3.1]

denis-greek [22]

Answer:

49.6cm

Step-by-step explanation: First you have to find the diameter of the circle by multiplying the radius by 2.

8x2=16

Then multiply 16 by 3.1

16x3.1=49.6

8 0

3 years ago

When 60% of a number is added to the number, the result is 208<br>

NNADVOKAT [17]

Answer:

x=120

0.60*120=72

120+72=192

192=192

Hope this helps

Step-by-step explanation:

THE ANSWER IS 192

6 0

3 years ago

8th grade math urgent need help

Rainbow [258]

Answer:

p > 4

Step-by-step explanation:

your welcome

7 0

3 years ago

Read 2 more answers

PLZ I REALLY NEED HELP/ i'll give brainlist and 100 points PLZZZZZ

andrew11 [14]

Answer:

Question 1: Answer would be A.

Question 2: Answer would be B.

Question 3: I cannot answer this one because an image is not provided. I do not have the image of the original triangle LMN. If you message me with a photo of this question, I will be able to answer.

Question 4: This answer may be wrong, but I believe that it would be A. I don't know how to calculate dilation transformations, but after graphing out all the points, I found that (6,4) would be the correct point because the distance between Point S and (6,4) is even and is able to be divided by two.

Question 5: Again, I cannot answer this one because an image is provided. Message me with a photo, I'll answer.

Question 6: Answer would be C.

Question 7: Again, I cannot answer this one because an image is provided. Message me with a photo, I'll answer.

Question 8: Answer would be C.

Step-by-step explanation:

Question 1 Explanation: Answer would be A because the quadrilateral was rotated 180 degrees and dilated to be larger.

Question 2 Explanation: Quadrant IV is on the bottom right, Quadrant I is on the top right. If a triangle were to be rotated from the origin (0,0), it would have to rotate 270 degrees in order to reach Quadrant I.

Question 3 Explanation:

Question 4 Explanation:

Question 5 Explanation:

Question 6 Explanation: Using a rotation calculator, I input the degree of rotation as -90.

Question 7 Explanation:

Question 8 Explanation: Using a rotation calculator, I input the degree of rotation as -180.

7 0

3 years ago