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Rufina [12.5K]
2 years ago
8

Triangle SQT is isosceles. The measure of angle STQ is 48°. Triangle S Q T is cut by perpendicular bisector T R. The lengths of

line segments S R and R Q are congruent. Side lengths S T and T Q are congruent. Angles S T R and R T Q are congruent. What is the measure of Angle S T R? 24° 38° 48° 76°
Mathematics
2 answers:
Aleonysh [2.5K]2 years ago
7 0

Answer:

A.24

Step-by-step explanation:

igomit [66]2 years ago
3 0

Answer:

m\angle STR=24^o

Step-by-step explanation:

we know that

m\angle STQ=m\angle STR+m\angle RTQ ---> by addition angle postulate

we have

m\angle STQ=48^o ----> given problem

m\angle STR=m\angle RTQ ----> given problem

substitute in the expression above

48^o=2m\angle STR

Divide by 2 both sides

m\angle STR=24^o

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The density of granite is about 2.75 grams per cubic centimeter. Suppose you have a granite countertop for a kitchen that is 1 m
stellarik [79]

Answer:

330\ kg

Step-by-step explanation:

Remember that

1 kg=1,000 g

1 m= 100 cm

The volume of the granite countertop in cubic centimeters is equal to

V=(100)(300)(4)\ cm^{3}

The density in kg per cubic centimeter is equal to

D=2.75(\frac{1}{1,000}) \frac{kg}{cm^{3}}

Multiply the density by the volume

2.75(\frac{1}{1,000})(100)(300)(4)

2.75(120)=330\ kg

6 0
2 years ago
Which equation represents the graphed function?
Alika [10]

Answer:

y = -1/3x +3

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

   = (2-3)/(3-0)

   -1/3

Then we know the y intercept( where it crosses the y axis)

It crosses at y=3

The slope intercept form is

y= mx+b  where m is the slope and b is the y intercept

y = -1/3x +3

5 0
2 years ago
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Two entertainment venues are planning to expand the size of their audiences and each has decided on the rate at which it can inc
NNADVOKAT [17]
Let us see... ideally we would like to have all equations with the same exponent or the same base so that we can compare the rates. Since the unknown is in the exponent, we have to work with them. In general, x^(y/z)= \sqrt[z]{x^y}.
Applying this to the exponential parts of the functions, we have that the first equation is equal to:
250*(\sqrt[5]{1.45} ^t)=250*(1.077)^t
The second equation is equal to: 200* (1.064)^t in a similar way.
We have that the base of the first equation is higher, thus the rate of growth is faster in the first case; Choice B is correct.

4 0
2 years ago
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A sled is being held at rest on a slope that makes an angle theta with the horizontal. After the sled is released, it slides a d
Alenkasestr [34]

Answer:

μ =  Sin θ * d₁ / (d₂ - Cos θ*d₁)

d₂ = (d₁*Sin θ) / μ

Step-by-step explanation:

a) We apply The work-energy theorem

W = ΔE

W = - Ff*d

Ff = μ*N = μ*m*g

<em>Distance 1:</em>

- Ff*d₁ = Ef - Ei

⇒  - (μ*m*g*Cos θ)*d₁ = (Kf+Uf) - (Ki+Ui) = (Kf+0) - (0+Ui) = Kf - Ui

Kf = 0.5*m*vf² = 0.5*m*v²

Ui = m*g*h = m*g*d₁*Sin θ

then

- (μ*m*g*Cos θ)*d₁ = 0.5*m*v² - m*g*d₁*Sin θ  

⇒   - μ*g*Cos θ*d₁ = 0.5*v² - g*d₁*Sin θ   <em>(I)</em>

 

<em>Distance 2:</em>

<em />

- Ff*d₂ = Ef - Ei

⇒  - (μ*m*g)*d₂ = (0+0) - (Ki+0) = - Ki

Ki = 0.5*m*vi² = 0.5*m*v²

then

- (μ*m*g)*d₂ = - 0.5*m*v²

⇒   μ*g*d₂ = 0.5*v²     <em>(II)</em>

<em />

<em>If we apply (I) + (II)</em>

- μ*g*Cos θ*d₁ = 0.5*v² - g*d₁*Sin θ

μ*g*d₂ = 0.5*v²

 ⇒ μ*g (d₂ - Cos θ*d₁) = v² - g*d₁*Sin θ   <em>  (III)</em>

Applying the equation (for the distance 1) we get v:

vf² = vi² + 2*a*d = 0² + 2*(g*Sin θ)*d₁   ⇒   vf² = 2*g*Sin θ*d₁ = v²

then (from the equation <em>III</em>) we get

μ*g (d₂ - Cos θ*d₁) = 2*g*Sin θ*d₁ - g*d₁*Sin θ

⇒  μ (d₂ - Cos θ*d₁) = Sin θ * d₁

⇒   μ =  Sin θ * d₁ / (d₂ - Cos θ*d₁)

b)

If μ is a known value

d₂ = ?

We apply The work-energy theorem again

W = ΔK   ⇒   - Ff*d₂ = Kf - Ki

Ff = μ*m*g

Kf = 0

Ki = 0.5*m*v² = 0.5*m*2*g*Sin θ*d₁ = m*g*Sin θ*d₁

Finally

- μ*m*g*d₂ = 0 - m*g*Sin θ*d₁   ⇒   d₂ = Sin θ*d₁ / μ

3 0
2 years ago
In 2015, in Buffalo, New York, there were 8,625 arrests, 2,678 robberies, 865 assaults, and 20 murders. The population of Buffal
m_a_m_a [10]
I'm pretty sure simplest form would still be 865:2678
I could be wrong tho
6 0
2 years ago
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