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ycow [4]
3 years ago
6

In RST, m R =(2x+10)°, m 5=(2x+25)°, and m T=(x-5)°.

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

We know that : Sum of Angles in a Triangle is equal to : 180°

⇒ In ΔRST, The Sum of Angles ∠R , ∠S , ∠T should be equal to 180°

⇒ m∠R + m∠S + m∠T = 180°

⇒ (2x + 10)° + (2x + 25)° + (x - 5)° = 180°

⇒ (2x + 2x + x) + (10° + 25° - 5°) = 180°

⇒ 5x + 30° = 180°

⇒ 5x = 180° - 30°

⇒ 5x = 150°

⇒ x = 30°

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An arc subtends a central and measuring pi/2 radians.
Sindrei [870]

Answer:

1/4th

Step-by-step explanation:

This comes from knowing the unit circle in both radians and degrees. However, you could also calculate it from knowing that 360 degrees is 2\pi radians. What you'll find is that \frac{\pi }{2} radians is 90 degrees, or 1/4th of the circle. This means that an arc measuring \frac{\pi }{2} radians will be 1/4th of the entire circumference.

I hope this helps!

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3 years ago
Taylor estimated the music department would raise $ 1,100 for new uniforms by selling tickets to a performance next week. Each t
Elza [17]

About 86 because $1,100 divided by $12.75=86

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Evaluate expression 20+3c+17d when c=8 and d=2.
Tems11 [23]
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3 0
3 years ago
A is an m×n matrix.Check the true statements below:A. The kernel of a linear transformation is a vector space.B. If the equation
Bess [88]

Answer:

Results are (1) True. (2) False. (3) False. (4) True. (5) True. (6) True.

Step-by-step explanation:

Given A is an m\times n matrix.  Let T :U\to V  be the corresponding linear transformationover the field F and \theta be identity vector in V. Now if x\in Ker( T)\implies T(x)=\theta.

(1) The kernel of a linear transformation is a vector space : True.

Let x,y\in Ker( T), then,

T(x+y)=T(x)+T(y)=\theta+\theta=\theta\impies x+y\in Ker( T)

hence the kernel is closed under addition.

Let \lambda\in F, x\in Ker( T), then

T(\lambda x)=\lambda T(x)=\lambda\times \theta=\theta

\lambda x\in Ker(T) and thus Ket(T) is closed under multiplication

Finally, fore all vectors u\in U,

T(\theta)=T(\theta+(-\theta))=T(\theta)+T(-\theta)=T(\theta)-T(\theta)=\theta

\implies \theta\in Ker(T)

Thus Ker(T) is a subspace.

(2) If the equation Ax=b is consistent, then Col(A) is \mathbb R^m : False

if the equation Ax=b is consistent, then Col(A) must be consistent for all b.

(3) The null space of an mxn matrix is in \mathbb R^m

: False

The null space that is dimension of solution space of an m x n matrix is always in \mathbb R^n.

(4) The column space of A is the range of the mapping x\to Ax

: True.

(5) Col(A) is the set of all vectors that can be written as Ax for some x. : True.

Here Ax will give a linear combination of column of A as a weights of x.

(6) The null space of A is the solution set of the equation Ax=0.

: True

5 0
3 years ago
Four less than twice the square of x is 124. Which equation can be used to find the value of x?
tester [92]
2x^2-4=124 is the correct answer.
5 0
3 years ago
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