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
arsen [322]
2 years ago
9

WILL MARK BRAINLIEST, JUST HELP ME PLS

Mathematics
1 answer:
Luda [366]2 years ago
5 0

Answer:

SAS theorem

Step-by-step explanation:

If \frac{CE}{CB} = \frac{DC}{AC} and m∠ECD = m∠BCA, then the triangles are similar by the SAS theorem.

\frac{EC}{BC} =  \frac{14}{21} = \frac{2}{3}           \frac{DC}{AC} = \frac{18}{27} = \frac{2}{3}

So,  \frac{CE}{CB} = \frac{DC}{AC}  and m∠ECD = m∠BCA because vertical angles are congruent

Therefore ΔECD is similar to ΔBCA by SAS theorem

You might be interested in
What is the answer for |x|-7=8 <br> A) x=1<br> B) x= 15<br> C)x= -1 or 1<br> D) x= -15 or 15
borishaifa [10]
The answer is D. "x=-15 or 15."

You can solve this by adding seven on both sides.
|x|-7=8
   +7 +7
------------
|x|=15

Therefore, x is either equal to 15 or -15.
8 0
3 years ago
The sum of a student's three score is 246. if the first is 14 points more than the second, and the sum of the first two is 6 mor
mr_godi [17]
Let the second score = x
⇒ second score = x

<span>the first is 14 points more than the second
</span>⇒ first score = x + 14

<span>the sum of the first two is 6 more than twice the third
</span>⇒ third score = 1/2 (x + x + 14 - 6) = x + 4

<span>The sum of a student's three score is 246
</span>⇒ x + (x + 14) + (x + 4) = 246
<span>
Solve x:
</span>x + x + 14 + x + 4 = 246
3x + 18 = 246
3x = 228
x = 76

second score = x = 76
first score = x + 14 = 76 + 14 = 90

Answer: 90
7 0
3 years ago
Three pounds of lawn seed covers 1800 square feet how many 4 pound bags are needed to cover 8400 square feet.
VikaD [51]
You need to find the unit rate of 3 : 1800 first by dividing 1800 and 3

1800 ÷ 3 = 600

So this means for every 1 pound bag it covers 600 square feet. You now need to multiply 600 and 4 to see how many square feet 4 pounds cover.

600 × 4 = 2400

So each 4 pounds covers 2400 sq ft. Now you have to divide 8400 and 2400 to find how many bags of 4 pounds you need

8400 ÷ 2400= 3.5

You need 3.5 bags of 4 pounds.
Technically you would need 4 bags because you’d have to round it up.

Hope this helps you!! :)

7 0
3 years ago
Polygon F has an area of 36 square units. Aimar drew a scaled version of Polygon F and labeled it Polygon G. Polygon G has an ar
mariarad [96]

Area is a squared number.  We know that from the label we use when we solve problems involving area.  Perimeter is a single unit label.  This single unit label can also be used to find scale factor, since single unit labels are one-to-one.  If the area of polygon F is 36, that means that the single unit measure was a number that was squared to get to the area.  Same goes for polygon G.  That means that in order to find the single unit measure of each of those we have to take the square root of the area.  The square root of 36 is 6, and the square root of 4 is 2.  6:2 is the scale factor, but that can be reduced to 3:1, larger to smaller.

6 0
3 years ago
Read 2 more answers
Jennifer's saving to buy a bike. The bike costs $245. She has $125 saved, and each week she adds $15 to her savings. How long wi
Novosadov [1.4K]
It will take her 8 weeks to save up enough money for the bike.

To get the answer first you have to subtract 125 from 245 to see how much money she still has to save then divide the answer which is 120 by 15 and you get 8. Hope this helps!!
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the slope of this line?
    5·1 answer
  • PLZZZZZZ HELP ME I WILL MAKE YOU BRAINIEST
    14·2 answers
  • 5x -2x +6x +40 -9 +1 -x +3x -8 +15x +7
    8·1 answer
  • Todd's fish tank holds 40 gallons. How many quarts does the fish tank hold?
    8·1 answer
  • Combine like terms.<br> 3y+3y+5+7x^3-y-6-7x^3
    15·2 answers
  • The circumference of a circle is 22 meters. What is the approximate diameter of the circle?
    12·2 answers
  • The County Fair features rides, exhibitions, and games of chance. Luca decides to play Wheel of Letters. To play the game, conte
    8·1 answer
  • Which of the following graphs could represent the volume of water in a cylinder as a
    15·2 answers
  • Give an example of when an actual net income would result in a negative number.
    13·2 answers
  • A shop owner gave a 25% discount off the regular price of a table. The amount of the discount is $5.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!