1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kap26 [50]
2 years ago
14

D

Mathematics
2 answers:
Margaret [11]2 years ago
8 0

Answer:

The answer to this question is

Angle at C is 35

Angle at D is 81

Angle at E is 64

because y=6

Alex Ar [27]2 years ago
7 0

Answer:

∠C = 35

∠D = 81

∠DEC = 64

Step-by-step explanation:

Exterior angle theorem - An exterior angle of a triangle is equal to the opposite interior angles of a triangle.

∠DEF is an exterior angle of ΔCED

∠DCE and ∠ CDE are opposite interior angles of ∠DEF

That being said we know that ∠C + ∠D = ∠DEF

We will use this as our equation

* plug in the information we are given about each angle into the equation *

5y + 5 + 13y + 3 = 116

Now we solve for y using basic algebra

step 1 combine like terms

5y + 13y = 18y

5 + 3 = 8

now we have  18y + 8 = 116

step 2 subtract 8 from each side

8 - 8 cancels out

116 - 8 = 108

now we have 18y = 108

step 3 divide each side by 18

18y / 18 cancels out

108 / 18 = 6

we're left with y = 6

Now to find the measures of ∠C and ∠ D

To find the measure of each we replace " y " in the given expression with 6

For ∠C

5y + 5

* replace y with 6 *

5(6) + 5

5(6) = 30

30 + 5 = 35

Hence ∠C = 35

For ∠D

13y + 3

* replace y with 6 *

13(6) + 3

13(6) = 78

78 + 3 = 81

Hence ∠D = 81

Finally we want to find ∠DEC

We can do this by using the triangle angle rule which states that the angles of a triangle should add up to equal 180

so to find the missing angle we subtract the given angles ( 81 and 35 ) from 180

so ∠DEC = 180 - 81 - 35

180 - 81 - 35 = 64

Hence ∠DEC = 64

You might be interested in
A cylinder has a radius of 4x + 3 and a height of 3x + 6. Which polynomial in standard form best
MrRa [10]

Answer:

Step-by-step explanation:

R=4x+3

H=3x+6

Volume of a cylinder= Πr²h

inserting the parameters

v=π(4x+3)²(3x+6)

v=π(16x²+24x+9)(3x+6)

V=π[3x(16x²+24x+9) +6(16x²+24x+9)]

v=Π(48x³+72x²+27x+96x²+144x+54)

v=π(48x³+168x²+171x+54)m³

8 0
3 years ago
Which statement is true about the potential<br> solution x = -5?
Vlad1618 [11]

Answer:

The answer to this question is d

4 0
2 years ago
Read 2 more answers
Juanita and Samuel are planning a pizza party. They order a rectangle sheet pizza that measures 21 inches by 36 inches.?They tel
saveliy_v [14]
First, find the total area of pizza. The area of a rectangle is length times width. 

Area = 21 x 36 = 756 sq. inches

Now, we must divide the total area with the largest square possible without any excess. So, we equate the area of the pizza to area of square:

A = s² = 756
s = 6 √21

Hence, the largest piece square possible has a side of 6 inches. Then, we divide the total area of the pizza by the area of each square piece to find the number of pieces;

756/6² = 21

Thus, there would be 21 pieces of 6-in square piece of pizza.
7 0
3 years ago
Find the fourth term of a geometric sequence if a=6 and r=2. Use the formula an=ar^n-1
Vikentia [17]

Answer:

48

Step-by-step explanation:

here, we are using an = ar^n-1

so, we have to find a4= ar^4-1 = ar^3

now, putting the given values in the equation,

a4= (6)(2)^3 = 6(8) = 48

therefore, the 4th term is 48.

<em>I</em><em> </em><em>have </em><em>done </em><em>this </em><em>question</em><em> </em><em>previously</em><em> </em><em>on </em><em>Gauthmath</em><em> </em><em>app,</em><em> </em><em>you </em><em>can </em><em>check </em><em>that </em><em>app </em><em>out,</em><em> </em><em>really </em><em>cool </em><em>app.</em><em> </em>

<em>A</em><em>l</em><em>l</em><em> </em><em>the</em><em> best</em><em> </em><em>with </em><em>your </em><em>exam.</em><em> </em><em />

8 0
2 years ago
HELP- PLS SOMEONE HELP ME SOB
BlackZzzverrR [31]

Answer:

150 degrees

Step-by-step explanation:

Use the equation below to find the sum of all the interior angles in this polygon:

(number of sides - 2)*180

number of sides = 6

(6-2)*(180) = 4*(180) = 720

Now that you know the total sum, subtract all other angles to find x:

720 - 90 - 162 - 101 - 96 - 121 = 150

5 0
2 years ago
Other questions:
  • 3. Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the s
    6·1 answer
  • How to tell the different properties in algebra
    5·1 answer
  • michael mixes 60 ounces of red paint with 15 ounces of blue paint to get a shade of purple.what is the ratio of red paint to blu
    6·1 answer
  • Why is the - sin of x the same as the sin of -x?
    7·1 answer
  • (e^x - e^-x)/(2) = 5
    13·1 answer
  • Jack's recipe for oatmeal uses 3 cups of Oats to 5 cups of water Evans recipe uses 4 cups of Oats to 6 cups of water. Thicker oa
    8·1 answer
  • Bobby worked 7.25 hours and Jimmy worked 6.75 hours. If Bobby made $8.25 per hour and Jimmy made $7.50 per hour, what was the to
    15·1 answer
  • True or false is .00007 times 10 negative 5 irrational number
    8·2 answers
  • the access code for a car's security system consists of four digits. the first digit cannot be 1 and the last digit must be even
    8·1 answer
  • Choose an equivalent ratio. 5:7<br><br> A) 7:9<br> B) 10:14<br> C) 14:15<br> D) 15:23
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!