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maxonik [38]
1 year ago
9

Given \qquad \overline{PQ}\perp\overline{PS} PQ ​ ⊥ PS start overline, P, Q, end overline, \perp, start overline, P, S, end over

line \qquad m \angle QPR = 7x - 9^\circm∠QPR=7x−9 ∘ m, angle, Q, P, R, equals, 7, x, minus, 9, degrees \qquad m \angle RPS = 4x + 22^\circm∠RPS=4x+22 ∘ m, angle, R, P, S, equals, 4, x, plus, 22, degrees Find m\angle QPRm∠QPRm, angle, Q, P, R:
Mathematics
1 answer:
Tomtit [17]1 year ago
5 0

Answer: 40 degrees

Step-by-step explanation:

did this on khan! :)

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Se distribuyen 400 bolsas en tres urnas sabiendo que la primera tiene 80 menos que la segunda y esta tiene 60 menos que la terce
laiz [17]

Answer:

Primeras urnas = 60 bolsas

Segundas urnas = 140 bolsas

Terceras urnas = 200 bolsas

Step-by-step explanation:

Deje que las urnas se representen de la siguiente manera

Primeras urnas = a

Segundas urnas = b

Terceras urnas = c

Se nos dice en la pregunta

400 bolsas se distribuyen en tres urnas

Por lo tanto,

a + b + c = 400 bolsas ......... Ecuación 1

Por la pregunta sabemos que

1) El primero tiene 80 menos que el segundo

a = b - 80

2) Y este segundo tiene 60 menos que el tercero

b = c - 60

Por tanto, c = b + 60

Por lo tanto, sustituimos b - 80 por ayb + 60 por c en la Ecuación 1

a + b + c = 400 bolsas ......... Ecuación 1

b - 80 + b + b + 60 = 400 bolsas

Recopilar términos similares

b + b + b - 80 + 60 = 400 bolsas

3b = 400 + 80 - 60

3b = 420

b = 420/3

b = 140 bolsas

Por lo tanto, el número de bolsas en la segunda urna = 140 bolsas

Dado que a = b - 80

a = 140 bolsas - 80

a = 60 bolsas

Por lo tanto, el número de bolsas en la primera urna = 60 bolsas

Dado que c = b + 60

b = 140 bolsas

c = 140 + 60

c = 200 bolsas.

El número de bolsas en las terceras urnas = 200 bolsas.

4 0
2 years ago
comparing permutations to combinations for the same set of parameters you would have more combinations than permutations true or
ella [17]
Let a set of n elements. 
We can find n! (factorial) of the n element. 
However, combination of the element lead to less than n! possibilities. 
(combining like adding or multiplying)
So the proposition is false. 
6 0
2 years ago
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On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Tr
Reptile [31]

Answer:

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

8 0
1 year ago
Read 2 more answers
If the federal reserve decreases the reserve rate from 2.5% to 1.25% how does this affect the amount of money that would result
kirza4 [7]
The correct answer for this question is this one: "D it increases by $1,800,000"
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3 0
2 years ago
What is 4log1/2^w(2log1/2^u-3log1/2^v written as a single logarithm?
IrinaK [193]
Given:

4log1/2^w (2log1/2^u-3log1/2^v)

Req'd:

Single logarithm = ?

Sol'n:

First remove the parenthesis,

4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)

Simplify each term,

Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:

 log 1/2 (w^4)  + 2 log 1/2 (u) - 3 log 1/2 (v) 
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)

We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):

Thus,

Log of 1/2 (w^4 u^2) - log of 1/2 (v^3) 

then use the quotient property of logarithms which is log of b (x)  - log of b (y) = log of b (x/y)

Therefore, 

log of 1/2 (w^4 u^2 / v^3)

and for the final step and answer, reorder or rearrange w^4 and u^2:

log of 1/2 (u^2 w^4 / v^3)  
8 0
1 year ago
Read 2 more answers
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