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
kolbaska11 [484]
2 years ago
13

NEED HELP!! 30 POINTS! HAS TO BE CORRECT AND NEED THE ANSWER NOOW!

Mathematics
1 answer:
jenyasd209 [6]2 years ago
6 0

Answer: options b and c

<u>Step-by-step explanation:</u>

∠ACD is supplementary to ∠ACE  <em>given</em>

∠ACD is supplementary to ∠BCD   <em>given</em>

⇒ ∠ACE is supplementary to ∠BCD   <em>transitive property</em>


∠ACD ≅ ∠BCE   <em>given</em>

⇒ ∠BCE is supplementary to ∠ACE  <em>substitution</em>

and ∠BCE is supplementary to ∠BCD   <em>substitution</em>

********************************************************************************

multiple choice options:

a) ∠ACE is supplementary to ∠BCD    <em>False</em>

b) ∠BCE is supplementary to ∠ACE    <em>TRUE</em>

c) ∠BCD is supplementary to ∠BCE    <em>TRUE</em>

d) ∠ACE ≅ ∠BCE                                   <em> False</em>

e) ∠BCD ≅ ∠ACE                                   <em>False</em>


You might be interested in
I need some help with binomial theorems. can anyone help solve this?
Svetlanka [38]
Use Pascal's Triangle

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1 (this is the row you use)

So, the seventh term of (3x + 2y)^9 will be 84xy
8 0
3 years ago
Read 2 more answers
Jovita divides $12,000 into three investments: a savings account paying 4% annual interest, a bond paying 6%, and a money market
xenn [34]

Answer:

$2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

Step-by-step explanation:

Let a, b, and c be the fractions of the $12,000 that is invested in the savings, bond, & money fund respectively.

Let S1, S2, S3 be the total monies from the savings, bond, & money fund after the year with interest respectively.

We know that a+b+c=1

and

S1+S2+S3 = 12000 + 860

S1+S2+S3 = 12860

From, the question, we know that b = 2a, and c = 1 - 3a based on the condition of 2 times more in the bond account that the savings account.

Thus;

S1 = a(12000)(1.04) = 12480a

S2 = 2a(12000)(1.06) = 25,440a

S3 = (1 - 3a)(12000)(1.09) = 13080 - 39240a

We already know that;

S1+S2+S3 = 12860

Thus, Adding the 3 equations gives;

12480a + 25,440a + 13080 - 39240a = 12860

Thus, simplifying gives;

13080 - 12860 = 39240a - 12480a - 25,440a

220 = 1320a

a = 220/1320

a = 0.1667

So,b = 2 x 0.1667 = 0.3334

c = 1 - (3 x 0.1667)

c = 1 - 0.5

c = 0.5

Thus,

S1 = 12480a = 12480 x 0.1667 ≈ $2080

S2 = 25,440a = 25440 x 0.1667 ≈ $4241

S3 = 13080 - 39240(0.1667) ≈ 6539

So, $2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

3 0
3 years ago
Read 2 more answers
(40 points) !!!!!!!URGENT!!!!!! jack and jill both drive the same distance to the beach. by driving 15 mph faster than jack jill
Maslowich
Jill drives: 75mph
Jack driver 65 mph
7 0
3 years ago
Two parallel lines are crossed by a transversal. What is the value of h? h = 60 h = 80 h = 100 h = 120
lisabon 2012 [21]
I added the diagram of the question.

<u><em>Answer:</em></u>
h = 60°

<u><em>Explanation:</em></u>
We are given that lines k and l are parallel lines.
This means that angles 120° and h are <u>supplementary angles</u>.
This means that their measures <u>add up to 180°</u>

<u>Therefore:</u>
180° = 120° + h
h = 180° - 120°
h = 60°

Hope this helps :)

8 0
3 years ago
Read 2 more answers
Which expression represents a factorization of 63 − 18?\
Evgesh-ka [11]

Answer:

8

Step-by-step explanation:

5+5=20

7 x 1 =78

78=9090

90900-5967=5676

harry should end with 5 tomatoes

4 0
3 years ago
Other questions:
  • Simplify ( √ 5)(^3 √ 5) the answer will be a wholenumber and a fraction
    6·1 answer
  • A new housing development has 2 sections from which to choose. Each section has 4 rows of homes, and each row contains 12 houses
    7·1 answer
  •  Three roads, A, B, and C, all run south to north. They each meet a highway that runs west to east. Road B is 2.3 km west of Roa
    13·1 answer
  • The cost of 15 ounces if chees is $6.00 what is the cost of 12 ounces of cheese
    15·1 answer
  • What is the inverse of the function y=x^2 - 12
    7·1 answer
  • What is the solution to this equation? x/-4=8 A. x = -32 B. x = 2 C. x = 32 D. x = -2
    8·2 answers
  • What is the volume of this solid figure made with cubes?
    5·1 answer
  • 4 Choose the correct answer for the expression: 5 x 5 x 5 x 5 A 54 B. 53 C 52 D) 55​
    7·1 answer
  • Which models represent 1/4÷6 choose all correct answers​
    9·1 answer
  • What is the value of Sx3 + 4y3 when x=4 and y=3?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!