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
adell [148]
3 years ago
10

I'm stuck on this problem... anybody know what the answer is?

Mathematics
1 answer:
DerKrebs [107]3 years ago
8 0
Angles A and D would have to be congruent in order to prove SAS Similarity Theorem.

“The SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.” (Source: cK-12)

This graphic may help you understand my choice of answer. It shows SAS Similarity Theorem in an alternate example.

You might be interested in
HELP What is the area of this figure?
Mademuasel [1]
The correct answer is:  [B]:  "40 yd² " .
_____________________________________________________
First, find the area of the triangle:

The formula of the area of a triangle, "A":

A = (1/2) * b * h ; 

in which:  " A = area (in units 'squared') ;  in our case, " yd² " ; 

                 " b = base length" = 6 yd.  

                 " h = perpendicular height" = "(4 yd + 4 yd)" = 8 yd.
___________________________________________________
→  A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ; 
                                                                 
                                                                   =  " 24 yd² " .
___________________________________________________
Now, find the area, "A", of the square:

The formula for the area, "A" of a square:

   A = s² ;

in which:  "A = area (in "units squared") ; in our case, " yd² " ;
                 
                 "s = side length (since a 'square' has all FOUR (4) equal side lengths);

 A = s²  = (4 yd)² = 4² * yd² =  "16 yd² "
_________________________________________________
Now, we add the areas of BOTH the triangle AND the square:
_________________________________________________
        →  " 24 yd²  +  16 yd² " ; 

to get:  " 40 yd² " ;  which is:  Answer choice:  [B]:  " 40 yd² " .
_________________________________________________
4 0
3 years ago
. Halla la expresión algebraica de un
Assoli18 [71]

Answer:

100*x + 14*y

Step-by-step explanation:

Tenemos que en el sistema decimal un número de 3 cifras se representa de este modo:

100*x + 10*y + z

También es llamado descomposición polinómica y de esta manera podremos encontrar la expresión algebraica.

Nos dicen la relación entre unidades y decenas, 4 veces mayor las unidades que las decenas, por lo tanto:

z = 4*y

Reemplazamos y nos queda:

100*x + 10*y + 4*y

reduciendo nos queda:

100*x + 14*y

Por lo tanto esta sería la expresión algebraica.

3 0
3 years ago
Find the distance between the two points rounding to the nearest tenth (if necessary).
leonid [27]

Answer:

\boxed {\boxed {\sf d\approx 4.2}}

Step-by-step explanation:

The formula for distance is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Where (x₁, y) and (x₂, y₂) are the points.

We are given (-6, 6) and (-3, 3). If we match the value and its corresponding variable, we see that:

  • x₁= -6
  • y₁ = 6
  • x₂ = -3
  • y₂ = 3

Substitute the values into the formula.

d= \sqrt{ (-3 - -6)^2+(3-6)^2

Solve inside the parentheses.

  • -3 --6 = -3+6 = 3
  • 3-6 = -3

d= \sqrt{(3)^2+ (-3)^2

Solve the exponents.

  • (3)²= 3*3= 9
  • (-3)²= -3*-3 =9

d= \sqrt{9+9

Add.

d= \sqrt18

d= 4.24264069

Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 2 in the tenth place.

d \approx 4.2

The distance between the two points is apprximately <u>4.2</u>

4 0
2 years ago
$190,258.50; $152,698.00; $122,753.00; $220,523.00; $231,951.00. What is the average of these five amounts?
Yakvenalex [24]
The average of those five amounts is 183,636.7 
AVeraging is adding all of the numbers together with the dividing by a number of numbers you have. 
6 0
3 years ago
Matt bought a book for 5.10. He gave the sales clerk a 10 dollar bill. How much change should Matt get back
sergij07 [2.7K]

Matt would get about $4 and 90 cents back from the clerk, since 10 dollars minus $5 and 10 cents equals $4 and 90 cents.

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is an equation of the line that is perpendicular to y+1=-3(x-5) and passes through the point 4,-6
    7·2 answers
  • What number is 30% of 90​
    11·2 answers
  • A diderenca do carro azul 1/2e so verde 1/4
    5·1 answer
  • A coffee shop sells a ceramic refill mug for $8.95. Each refill cost $1.50. Last month rose spent $26.95 on a mug and refills. H
    11·1 answer
  • What is the area of the triangle formed from (0,-3), (0,4), and (4,-3)?
    13·1 answer
  • If a boat travled 70miles in 5 hours how far did the boat travel in one hour
    6·1 answer
  • Carmen has a recipe that requires 1 and 1/2 cups of flower. He has 7 and 1/2 cups of flour in the pantry. What is the maximum nu
    11·1 answer
  • Use the divisibility rules to determine which of the following numbers 528 is divisible by. (Check all that apply.)
    14·1 answer
  • H is inversely proportional to p
    5·1 answer
  • Which number is irrational?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!