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4 years ago

1. Write a congruency statement for the pair of triangles. Please show your work.

Mathematics

1 answer:

kolezko [41]4 years ago

5 0

Please see the attachments for the complete solution.

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F. Rotated 90° about (0,0)

ASHA 777 [7]

Answer:

see explanation

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ) , then

R(2, - 1 ) → R'(- 1, - 2 )

S(4, 0 ) → (0, - 4 )

T(1, 3 ) → T'(3, - 1 )

7 0

3 years ago

prove that if f is integrable on [a,b] and c is an element of [a,b], then changing the value of f at c does not change the fact

Neko [114]

Answer with Step-by-step explanation:

We are given that if f is integrable on [a,b].

c is an element which lie in the interval [a,b]

We have to prove that when we change the value of f at c then the value of f does not change on interval [a,b].

We know that limit property of an integral

$\int_{a}^{b}f dt=\int_{a}^{c}fdt+\int_{c}^{b} fdt$

$\int_{a}^{b} fdt=f(b)-f(a)$ ....(Equation I)

Using above property of integral then we get

$\int_{a}^{b}fdt=\int_{a}^{c}fdt+\int_{c}^{b} fdt$ ......(Equation II)

Substitute equation I and equation II are equal

Then we get

$\int_{a}^{b}fdt= f(c)-f(a)+{f(b)-f(c)}$

$\int_{a}^{b}fdt=f(c)-f(a)+f(b)-f(c)=f(b)-f(a)$

$\int_{a}^{c}fdt+\int_{c}^{b}fdt=f(b)-f(a)$

Therefore, $\int_{a}^{b}fdt=\int_{a}^{c}fdt+\int_{c}^{b}fdt$ .

Hence, the value of function does not change after changing the value of function at c.

6 0

3 years ago

Please can someone tell me whether my answer to the question is right? The topic is simultaneous equations.

ELEN [110]

X should equal -13.33. Y is correct, 13.33

7 0

4 years ago

Read 2 more answers

What is 0.31 rounded to the nearest tenth

Tomtit [17]

0.31 rounded to the nearest tenth would be 0.3

This Chart should help you in the future:

8 0

3 years ago

2x+12.8=117.8 <br> what is the value of x

n200080 [17]

Answer: 52.5

Step-by-step explanation:

2x+12.8=117.8. First, subtract 12.8 from both sides.

-12.8 -12.8

2x=105. Then, divide both sides by 2.

/2 /2

x=52.5.

3 0

3 years ago

Read 2 more answers