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
Novosadov [1.4K]
2 years ago
8

If A ABC ~ ARST and m 2 A = 42°, m 2 C = 60°, find the measure of < S.

Mathematics
1 answer:
Free_Kalibri [48]2 years ago
7 0

Answer:

78

Step-by-step explanation:

∠A + ∠B + ∠C = 180   { Angle sum property of triangle}

42 + ∠B + 60 = 180

∠B + 102 = 180

∠B = 180 - 102 = 78

In similar triangles, corresponding angles are congruent.

∠S ≅ ∠B

∠S = 78°

You might be interested in
PLEASE HELP FAST..WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER ​
Elodia [21]

Answer:

obtuse angles and right angle

7 0
3 years ago
What is the vertex of the function?
egoroff_w [7]
<h2>Explanation:</h2><h2></h2>

Here you haven't provided any function, so I'll assume this one:

f(x)=3x^2-18x+33

This is a quadratic function whose graph represents a parabola. Any parabola has its vertex at the point:

V(x,y) \\ \\ \\ x=-\frac{b}{2a} \\ \\ y=f(-\frac{b}{2a}) \\ \\ \\ where: \\ \\ \\ f(x)=ax^2+bx+c \\ \\ \\ So: \\ \\ a=3 \\ \\ b=-18 \\ \\ c=33

Therefore:

x=-\frac{(-18)}{2(3)}=3 \\ \\ f(3)=3(3)^2-18(3)+33=27-54+33=6

Therefore, the vertex is:

\boxed{V(3,6)}

6 0
3 years ago
On average, Jaimie can bike five times as fast as he can run. To travel 25 km, he needs 2 h more if he is running than if he is
monitta

Answer: Running speed is 10k/h

Biking speed is 50k/h

Step-by-step explanation:

My procedure may be unconventional, but it works:

Compute the time it takes, then translate to speed. 25k at biking speed takes 2 hours less than at running speed which is 1/5 bike speed.

Distance/speed = time  25/x=25/(5x-2)  cross multiply divisors

25(5x-2) = 25x  ==> 125x -50 =25x ==>  100x = 50  

x = 0.5 hours at biking speed   25k/0.5h = 50k/h  

Running speed = 50/5  10k/h

Proof: 25k/ 10k/h = 2.5 hours

25k /50k/h = 0.5 hours  

2.5 h - .5 h = 2 hours, the difference stated in the question.

6 0
2 years ago
Pls help me this is due tomorrow
Anna [14]

Step-by-step explanation:

Claim: There's 14 Goats and 9 Chickens!!

Data:

Working with the Provided Information.

Let the Number of goats be x

let the Number of Chickens be y

x + y = 23..... (i)

Since the goat Possesses Two Pair of Legs... Which is a Total of 4 Legs... We say Let its Contribution be 4x.

The Chicken has Only a Pair Of Legs...Which is a total of 2 legs.... We say let its contribution be 2y

4x + 2y = 74 .....(ii)

BRINGING BOTH EQUATIONS TOGETHER.

x + y = 23

4x + 2y = 74

From Eqn i

x= 23 - y

Substitute into eqn ii

4(23 - y ) + 2y = 74

92 - 4y + 2y = 74

92 - 2y = 74

2y = 92 - 74

2y = 18

y= 9.

Substitute y into any of the eqns to get x

x + y = 23

x + 9=23

x = 23 - 9

x = 14

This simply proves that there are 14 Goats and 9 Chickens!!!.

HAVE A GREAT DAY!

7 0
3 years ago
Which two consecutive whole numbers would 341 be located?
marysya [2.9K]
The first number is 170
The second number is 171
Step-by-step explanation:
Let the first number be x^3 and the second number be x^3+1
The sum of the two is 341
X^3+x^3+1=341
2x^3+1=341
Substrate 1 from both sides
2x^3=341-1
8 0
3 years ago
Other questions:
  • There is 12 and 15 of a pizza left. How many pieces can be made from the leftover pizza?
    7·1 answer
  • Which fraction has a repeating decimal as decimal expansion
    13·1 answer
  • What is the distance between A and B? Round your answer to the nearest tenth
    15·2 answers
  • Help with 694 = x10<br><br> and its says write it in scientific notation
    7·2 answers
  • Can you help me with these questions please?
    10·1 answer
  • What equals to 25 in multiplication?
    5·1 answer
  • Solve the equation -9x+1=-x+17​
    7·2 answers
  • These are questions 8-10 that I need to find the answer to
    9·1 answer
  • Checking congruence
    8·1 answer
  • 6. What are the coordinates of W? (0,t) W 0 (,0) Rhombus (0, -1) o (-r, o) (0,r). (t,0)​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!