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
devlian [24]
3 years ago
11

If CDE ~ GDF, find ED

Mathematics
1 answer:
qaws [65]3 years ago
7 0

Answer:

10

Step-by-step explanation:

\triangle CDE \sim \triangle GDF.. (given) \\\\\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\\therefore  \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore   \: 15 \times 4 = (x + 3)(3x + 1) \\  \\ \therefore   \: 60 = 3 {x}^{2}  + x + 9x + 3 \\  \\ \therefore  3 {x}^{2}  + 10x + 3 - 60 = 0 \\ \therefore  3 {x}^{2}  + 10x  - 57 = 0 \\ \therefore  3 {x}^{2}  + 19x - 9x  - 57 = 0 \\ \therefore   \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore   \:  (3x + 19)(x - 3) = 0 \\ \therefore   \: 3x + 19 = 0 \:  \: or \:  \: x - 3 = 0 \\  \therefore   \: x =  -  \frac{19}{3}  \:  \: or \:  \: x = 3 \\  \because \: x \: can \: not \: be \:  - ve \\ \therefore   \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1  \\ \huge \red{ \boxed{ ED= 10}}

You might be interested in
Please break this up:<br> a^2-b^2-4b-4
hoa [83]

(a + b) (a-b ) - 4b - 4

<u>Explanation:</u>

Given:

a² - b² - 4b - 4

(a + b) (a-b ) - 4b - 4

This equation cannot be solved further.

Thus, the equation is (a + b) (a-b ) - 4b - 4

6 0
3 years ago
an airline allows each passenger 33 kilograms of luggage. carl has to lower the weight of his suitcase by 25% to stay within the
Salsk061 [2.6K]
If the weight is lowered by 25% it is the same as taking 75% of the original weight.

0.75x = 33
7 0
3 years ago
Can someone please help me I don't get this at all
goldfiish [28.3K]

Answer:

A and D          B and A               C and B                 D and C

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which number line represalia of the values of. For the equation x2 = 64
vlada-n [284]
32 is your variable so it would be x2=32x2=64 your answer is 32
8 0
3 years ago
There are 12 birds sitting on a wire. Four-sixths of the birds are black. How many black birds are sitting on the wire?
jarptica [38.1K]

Answer:

8

Step-by-step explanation:

4/6 out of 12 is 8,so There are 8 black birds.

Hope this helps

5 0
3 years ago
Other questions:
  • EVALUATE <br> (-10)²<br> PLEASE SHOW UR WORK THXS
    15·2 answers
  • Add [1/5x-4+2y]+[2/5x+5-4y]=
    11·1 answer
  • Cara went to the store and bought 4 pounds of lemon sours and 3/10 of a pound of gummy bears. How much did she spend?
    5·1 answer
  • There is a population of 2,000 bacteria in a colony. If the number of bacteria doubles every 4
    9·1 answer
  • Karen works at a car dealership. She makes only $5 an hour, but for every car she sells, she makes $1,000 in commission. If Kare
    12·1 answer
  • What is 1/2 divided by 1/6?
    10·1 answer
  • Help me pls thx<br> ......
    13·2 answers
  • -12 (-5/6) (-2/15) How do I solve this question I am stuck on an assignment
    13·1 answer
  • Hello, I need assistance with the attached problem. My answer was incorrect
    8·1 answer
  • What is (7/4x)+(-3/2y) simplified
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!