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
Goshia [24]
3 years ago
6

In the diagram below of triangle PQS, S is the midpoint of PR and T is the midpoint of QR. If ST = 5x - 22, and PQ = 3x + 19, wh

at is the measurement of PQ?

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
6 0

Answer:

PQ = 46

Step-by-step explanation:

The midsegment ST is half the length of the third side PQ , that is

ST = \frac{1}{2} PQ , so

5x - 22 = \frac{1}{2} (3x + 19) ← multiply both sides by 2 to clear the fraction

10x - 44 = 3x + 19 ( subtract 3x from both sides )

7x - 44 = 19 ( add 44 to both sides )

7x = 63 ( divide both sides by 7 )

x = 9

Then

PQ = 3x + 19 = 3(9) + 19 = 27 + 19 = 46

You might be interested in
Help me please. Im giving brainliest!!!!!!
grigory [225]

Answer:

Option (d).

.

.

.

{\bold{\red{HOPE\:IT\:HELPS!}}}

\color{yellow}\boxed{\colorbox{black}{MARK\: BRAINLIEST!❤}}

6 0
3 years ago
Read 2 more answers
If the probability that the Islanders will beat the Rangers in a game is 0.38, what is the probability that the Islanders will w
natali 33 [55]

Answer:

0.014

Step-by-step explanation:

The probability that the Islanders will win at least 6 out of seven is the probability of them winning exactly 6 games, P(X=6), added to the probability of them winning all seven games, P(X=7).

This problem can be treated as a binomial probability model with probability of success p = 0.38 in each of n = 7 games.

P(X=x) = \frac{n!}{(n-x)!x!}*p^ x*(1-p)^{(n-x)}

Thus:

P(X=6) = 7*0.38^6*0.62\\P(X=6) =0.01307\\P(X=7) = 0.38^7\\P(X=7) =0.00114

The probability is:

P(X\geq 6) = 0.01307+0.00114\\P(X\geq 6) = 0.014

The probability that the Islanders will win at least six out of seven games in a series against the Rangers is 0.014.

3 0
3 years ago
Form a polynomial whose real zeros and degree are given.​
Hitman42 [59]

Answer:

Step-by-step explanation:

Given that zeroes of a polynomial are

-3, -1, 1, 4

Degree of the polynomial is 4

Also leading coefficient is 1.

So we find easily the polynomial

Since polynomial is 0 at the given four points the polynomial is a product of

(x+3)(x+1)(x-1)(x-4)\\=(x^2-1)(x^2-x-12)\\= (x^4-x^3-13x^2+x+12)

Since leading coefficient is given to be 1 we need not multiply an arbitrary constant a

so the required polynomial is

(x^4-x^3-13x^2+x+12)

4 0
3 years ago
N cannot be negative, so the solution set that is reasonable in this situation is___?
aivan3 [116]

Answer:

peep

Step-by-step explanation:

3 0
2 years ago
Can someone help me out with this?
dexar [7]

Answer:

  • -7.5x -12.5, x < -1
  • 7.5x +2.5, x ≥ -1

Step-by-step explanation:

The absolute value function changes slope at its vertex. Here, that vertex is translated to x = -1. To the left of that point, the function is equivalent to one that negates its argument:

  |x| = -x . . . for x < 0

  |x| = x . . . for x ≥ 0

<u>for (x+1) < 0</u>

  y = -7.5(x +1) -5 = -7.5x -12.5

<u>for (x+1) ≥ 0</u>

  y = 7.5(x +1) -5 = 7.5x +2.5

This means we can write the piecewise function as ...

  y=\begin{cases}-7.5x-12.5,&\text{if }x

4 0
2 years ago
Other questions:
  • Find the values of a through e that make these two relations inverses of each other.
    7·1 answer
  • You plan to take $450 u.s. on a trip to south africa. how many rands is this if one u.s. dollar equals 3.70 rands?
    6·1 answer
  • Bryan made up a game. Each team starts with seven points. Each time a team answers a question correctly, they earn five points.
    8·2 answers
  • The diameter of a planet is about 10,652 mi. The diameter of the planet's moon is about 25% of the planet. What percent of the v
    6·1 answer
  • (4,?) is in line y=2/7x-3. Find the other half of the coordinate
    14·1 answer
  • Issac tosses a quarter off of a bridge, creating the shape of a parabola. The parabola can be represented by the equation h=-16t
    7·1 answer
  • Drag the dots to plot (5.5, 4), (-7,1), and (0,–9).<br> y
    15·1 answer
  • A triangle has an area of 24 cm2. The base is 12 cm, what is the height?<br> Type your answer...
    10·1 answer
  • What is 8/8 in word form?
    10·2 answers
  • The average honey bee can travel 10.5 feet per second. How many feet can the honeybee travel in 3.7 seconds?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!