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
dexar [7]
3 years ago
10

1. Name the pair of congruent sides in the figure below.

Mathematics
1 answer:
Anon25 [30]3 years ago
5 0

Answer:

Note that the sum of the angles in a triangle are 180.

1. B. <R = 180 - 70 -55 = 55. Since <R = <T, then RS = ST

2. D. <J = 180 - 42 -96 = 42 = <K, so JL = KL = 12

3. B. Let the base angle = x. The vertex angle = 2x + 50. The sum of the angles in a triangle is 180, so x + x + 2x + 50 = 4x + 50 = 180 -> 4x = 130 -> x = 32.5.

4. D. Since <S = <Q, RQ = RS. Thus, 2x + 4 = 18 -> 2x = 14 -> x =7

I hope this helps!

You might be interested in
In a right triangle STR, angle T and R are complementary angles. The value of cos(T) is 9/41. What is the value of sin(R)?
alex41 [277]

Answer: C) 9/41

Step-by-step explanation: From the description, angle S is the right angle. Which means that angles T and R are complementary (they sum to 90 degrees). Because they are complementary, this means the cosine of one angle is equal to the sine of the other angle. If cos(T) is 9/41, then so is sin(R).

cr. USA Test Prep

5 0
4 years ago
What is x^2 + y^2 - 4x + 12y -20= 0 factored
andrew11 [14]
<span>Simplifying
4x2 + 8xy + 4y2

Reorder the terms:
8xy + 4x2 + 4y2

Factor out the Greatest Common Factor (GCF), '4'.
4(2xy + x2 + y2)
 
Factor a trinomial.
4((x + y)(x + y))

Final result:
4(x + y)(x + y)</span>
4 0
3 years ago
A group of students surveyed chose baseball and soccer as their favorite sport in the ratio 3:8
Anna [14]
3x-\ those\ who\ chose\ baseball\\8x-\ those\ who\ chose\ soccer\\\\&#10;a)\\3x+8x=132\\\\&#10;11x=132\ \ \ | divide\ by\ 11\\\\x=12\\\\&#10;8x=8*12=96\\\\&#10;96\ chose\ soccer.\\\\\&#10;b)\\8x=56\ \ \ | divide\ by\ 8\\\\x=7\\\\&#10;3x=3*7=21\\\\&#10;21\ chose\ baseball.
5 0
3 years ago
If , find the value of 2 square root of 17-x = 2x-10, find the value of x/4.
ira [324]
2 \sqrt{17-x} =2x-10\ \ \ \ \Rightarrow\ \ \ D:(17-x \geq 0\ \ \ and\ \ \ 2x-10 \geq 0)\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x \leq 17\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  \ \ x \geq 5\\\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ D=\\\\2 \sqrt{17-x} =2(x-5)\ /:2\\\\ \sqrt{17-x} =x-5\ \ \ \Rightarrow\ \ \ (\sqrt{17-x})^2 =(x-5)^2\\\\17-x=x^2-10x+25\\\\

x^2-9x+18=0\\\\ x^2-3x-6x+18=0\\\\x(x-3)-6(x-3)=0\\\\(x-3)(x-6)=0\ \ \ \ \Leftrightarrow\ \ \ (x-3=0\ \ \ \ or\ \ \ \ x-6=0)\\\\x=3\ \notin\ D\ \ \ \ \ \ \ \ \ \ \ x=6\ \in\ D\ \ \ \Rightarrow\ \ \  \frac{x}{4} = \frac{6}{4} =1.5\\\\Ans.\  \frac{x}{4} =1.5
7 0
3 years ago
Graph the Image of square KLMN after a translation 3 units left .​
AURORKA [14]

Answer:

N' (-8,9) K' (-8,3) L' (-2,3) M' (-2,9)

Step-by-step explanation:

To translate the square 3 units to the left you would subtract 3 from the x-coordinates of the points shown.

3 0
3 years ago
Other questions:
  • Aevery collects cans for recycling when he has a 1,000 cans, the recycling center will pick them up from the house Aevery has 80
    5·1 answer
  • A diner has a breakfast special. A customer can chose scrambled, fried, or poached eggs. The breakfast comes with a side of baco
    9·2 answers
  • How do you solve 8(2m+1) ?
    9·2 answers
  • For each of the following, use logic laws to decide whether the statement is a tautology contradiction, or neither. a (a) (A B)
    5·1 answer
  • Casey is a real estate agent. She earns 8.15% commission on each sale she makes. After working with a potential buyer for 3.5 mo
    8·1 answer
  • Jen has 2 meters of taffy. She wants to give each of her three best friends in equal amount of taffy how many centimeters of taf
    8·1 answer
  • The stopping distance (s) of a truck varies directly as the square of its speed (v). If a truck travelling at 50 mph requires 20
    13·1 answer
  • Help!! I need help!<br>​
    9·1 answer
  • Which expression is equivalent to 16t2 – 40t + 25?
    10·1 answer
  • if a runner finishes the 26.2. mille race in 4 hours and 37 mins and Wilson kipping finish in 4 minutes and 43 seconds per mile
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!