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Korolek [52]
2 years ago
8

In need help Relationships in Triangles

Mathematics
1 answer:
liubo4ka [24]2 years ago
3 0

Answer: x = 17

Step-by-step explanation: Since ray SQ bisects <TSR, we know

that the m<TSQ ≅ m<QSR by the definition of an angle bisector.

So we can setup the equation (3x - 9) + (3x - 9) = 84

using the angle addition postulate.

Simplifying on the left gives us 6x - 18 = 84.

Now add 18 to both sides to get 6x = 102.

Now divide both sides by 6 so x = 17.

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A pair of shoes that normally sells for $82.88<br> goes on sale for 35% off. What is the sale price?
Alex17521 [72]

Answer:

The price would be $53.88

Step-by-step explanation:

Do $82.88*0.35=29

82.88-29=53.88

Hoped this Helped

7 0
2 years ago
Read 2 more answers
There are 205 coins in a jar all of which are either nickles or quarters . The vaule of the coin in the jar is $31.85. if both o
Gnesinka [82]

Answer: There are 97 nickels and 108 quarters.

Step-by-step explanation:

Let x = Number of nickels, y = Number of quarters.

As per given,

x+y = 205    ...(i)

0.05x+0.25y = 31.85 ... (ii)    [1 nickel = $0.05, 1 quarter = $ 0.25]

Multiply (ii) by 20, we get

x+5y=637   ...(iii)

Eliminate (i) from (iii)

4y = 432

⇒ y = 108 [Divide both sides by 4]

Put value of y in (i), we get

108+x=205\Rightarrow\ x= 97

Hence, there are 97 nickels and 108 quarters.

6 0
3 years ago
Find the equation of the line in slope-intercept form containing the points (6, -1) and (-3, 2).
egoroff_w [7]
Slope intercepf is y=mx+b wherem=slope and b= y intercept
slope is found by doing
(y1-y2)/(x1-x2)
points are (6,-1) and (-3,2)
(x,y)
x1=6
y1=-1
x2=-3
y2=2
subsitute
(-1-2)/(6-(-2))=-3/(6+2)=-3/8
slope=-3/8
subsitute
y=-3/8x+b
subsitute and solve for b
(-3,2)
x=-3
y=2
2=-3/8(-3)+b
2=9/8+b
2=16/8
subtract 9/8 from both sides
16/8-9/8=b
7/8=b
y=-3/9x+7/8 is the equation
5 0
3 years ago
Explain what each of the following sample correlation coefficients tells you about the relationship between the x and y values i
Alchen [17]

Answer: The description are as follows:

Step-by-step explanation:

Correlation coefficients is a statistical measure that measures the relationship between the two variables.

(a) r = 1, it means that there is a Perfect positive relationship between the two variables. If there is positive increase in one variable then other variable also increases with a fixed proportion.

(b) r = -1, it means that there is a perfect negative relationship between the two variables. If there is positive increase in one variable then other variable decreases with a fixed proportion.

(c) r = 0, this is a situation which shows that there is no relationship between the two variables.

(d) r = 0.86, this is a situation  which shows that there is a fairly strong positive relationship between the two variables.

(e) r = 0.06, it is nearly zero which represents that either there is a very minor positive relationship between the two variables or there is no relationship between them.

(f) r = -0.89,  this is a situation  which shows that there is a fairly strong negative relationship between the two variables.

6 0
3 years ago
A football is kicked into the air. The height of the football can be modeled by the equation
Alinara [238K]

Answer:

x = 0 and x = 1

Step-by-step explanation:

Given that,

A football is kicked into the air. The height of the football can be modeled by the equation :

h = -16x^2 + 16x

Where

h is the height reached by the ball after x seconds

When it touches the ground, h = 0

So,

-16x^2 + 16x=0\\\\16x(-x+1)=0\\\\x=0\ and\ x=1

So, it will touch the ground at x = 0 and x = 1 seconds.

6 0
3 years ago
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