answer.
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
Allushta
11 days ago
6

In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.

Mathematics
2 answers:
zzz [4K]11 days ago
9 0

Answer:

∠ R > 90°

\angle s + \angle T < \angle 90

\angle R > \angle T

\angle R > \angle S    

Explicación paso a paso:

Dado que en el triángulo RST

\angle R> (\angle s +\angle T)

Ahora, según la condición, un ángulo es mayor que la suma de los otros dos ángulos.

En un triángulo, la suma de los tres ángulos es 180°

Por lo tanto, si un ángulo mide  90°, la suma de los otros dos debe ser igual a 90°

Y si uno de los ángulos es de 90°, solo los otros dos pueden ser de 45° cada uno.

Aquí suponiendo que el ángulo s = ángulo T = 30°, entonces con esta condición el ángulo r sería de 120°, que es mayor que 90°.

De lo anterior, se concluye que

Para, \angle R> (\angle s +\angle T)

∵ ∠ R = 120°, por lo tanto es mayor que 90°.

Es decir, ∠ R > 90°

\angle s + \angle T < \angle 90

\angle R > \angle T

\angle R > \angle S   Respuesta

zzz [4K]11 days ago
8 0

Response:<R > 90°, <S + <R < 90°, <R > <T, <R > <S

Detailed explanation:

You might be interested in
105,159 rounded to the nearest ten thousand
Svet_ta [4321]

In this problem the number we are working with is:

105,159

By definition we note:

thousand place: a five-digit quantity greater than zero.

Moreover, the rounding rule is:

if the digit being removed is 5 or more, increase the kept digit by one.

Therefore, rounding to the nearest ten thousand yields:

105,159 = 110,000

Answer:

105,159 rounded to the nearest ten thousand is:

105,159 = 110,000

6 0
15 days ago
Read 2 more answers
A reporter determines a baseball player's batting average, which is a ratio of number of hits to the number of times at bats. Th
Leona [4166]

x:200

x/200 =.2121212121...

200(x/200) = 200(.2121212121...)

x = 42.4242...

The expectation is that a player would achieve 42 hits over 200 at-bats.

8 0
7 days ago
Read 2 more answers
Kathleen and Arnob both run from the park entrance along a loop. Kathleen starts walking from the park entrance and gets a 5-mil
zzz [4022]

In this scenario, the first step is to assign variables.

We define:

x: time measured in minutes

y: distance covered.

The equations formulated are as follows:

For Kathleen:

y = (\frac{1}{15}) x + 5

For Arnob:

y = (\frac{2}{15}) x

At the moment Arnob meets Kathleen, we have:

(\frac{1}{15}) x + 5 = (\frac{2}{15}) x

Next, we isolate x.

We now have:

(\frac{2}{15}) x - (\frac{1}{15}) x = 5

(\frac{1}{15}) x = 5\\x = (15) * (5)\\x = 75 min

Answer:

Arnob takes a total of 75 minutes to catch up to Kathleen:

d. 75

5 0
4 days ago
Read 2 more answers
Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro
Svet_ta [4321]
<span>The likelihood of both selected students being sophomores is 6/20, which simplifies to 3/10.
The expression for the probability that both chosen students are sophomores is (6c1) (5c1) /(20c2) 

</span>
5 0
3 days ago
Read 2 more answers
A rectangle has area 25 m2. express the perimeter of the rectangle as a function of the length l of one of its sides. p(l) = sta
zzz [4022]
a) The area of a rectangle is calculated by multiplying the length by the width:
   A = l·w

This formula allows us to express the width in terms of area and length. By dividing A by l, we find
   A/l = w

We also recognize that the perimeter of a rectangle is the total length around it.
   P = l + w + l + w
   P = 2(l + w)
We aim to rewrite the perimeter formula to isolate l on one side, using the expression for w derived earlier.
   P = 2(l + A/l)

By substituting the known value for A, we can express p(l) as
   p(l) = 2(l + 25/l)
   p(l) = 2l + 50/l


b)
For lengths exceeding widths, we have
   l > w
   l > A/l
   l² > A
   l > √A
   l > √25

This indicates that the domain of p(l) is
   l ∈ (5, ∞)..... meters
4 0
11 days ago
Other questions:
  • The perimeter of the norwegian flag is 190 inches. What are the dimensions of the flag?
    13·1 answer
  • The function g(x) is graphed. On a coordinate plane, a curved line enters the plane at point (negative 2.3, 5), crosses the x- a
    6·2 answers
  • Suppose your statistics professor reports test grades as​ z-scores, and you got a score of 1.57 on an exam. ​a) Write a sentence
    5·1 answer
  • Which expression can be used to convert 100 USD to Japanese yen
    15·2 answers
  • Choose the solutions of the following systems of equations x^2+y^2=6 and x^2-y=6
    10·1 answer
  • Mia paints interior walls at a rate of 12 m^2/h. At what rate does she paint in cm^2/min?
    7·2 answers
  • What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?
    8·2 answers
  • Julio cubes a number then takes the cube root of the result. He ends up with 20. What number did Julio start with
    11·1 answer
  • While driving home for the holidays, you can’t seem to get Little’s Law out of your mind. You note that your average speed of tr
    9·1 answer
  • The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to agi
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!