Find the measures of angles A, B, C, D, E, F, G.
Find the measures of angles A, B, C, D, E, - 1

Answers

Answer 1
Answer:

Answer:

A= 48°

B=60°

C=72°

D=20°

E=20°

F= 160°

G=160°

Step-by-step explanation:

Take a look at the picture above. (please excuse me for the sloppyish writing lol)

Answer 2
Answer:

Answer:

A =48 (supplementray),  \n B =   60(supplementray), \n  C =72(angle \:on\: a \:straight \:line) , \n  D =20 (supplementray), \n  E =20 (vertically \: opp \: angles),  \n F = 160(angle \:on\: a \:straight \:line),  \n G =160(vertically  \:opp \: angles) .


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John has a job transporting soft drinks by truck. his truck is filled with cans that weigh 14 ounces each and bottles that weigh 70 ounces each. there is a combined total of 820 cans and bottles in his truck. let x be the number of 14 -ounce cans in his truck. write an expression for the combined total weight

Answers

14x + 70y = 820. Where we have taken y to be the number of bottles and x to be the number of cans.

Which function has an inverse function a) f(x)=|x-4|+1 (b) f(x)=25x^2+70x+49 (c) x^4 (d) x+3÷7

Answers

Answer:

f(x)=(x+3)/(7) is f^(-1)(x)=7x-3

Step-by-step explanation:

Property of inverse function:

The function should be bijective function ( one-to-one and onto)

Option A) f(x)=|x-4|+1

It is absolute function. Not one-to-one function.

Domain: All real (-∞,∞)

Range: [1,∞)

False ( Inverse not possible )

Option B) f(x)=25x^2+70x+49

It is quadratic function. Not one-to-one function.

Domain: All real (-∞,∞)

Range: [0,∞)

False ( Inverse not possible )

Option C) f(x)=x^4

It is polynomial function with even degree. Not one-to-one function.

Domain: All real (-∞,∞)

Range: [0,∞)

False ( Inverse not possible )

Option D) f(x)=(x+3)/(7)

It is linear function. one-to-one and onto

Domain: All real (-∞,∞)

Range: All real (-∞,∞)

True ( Inverse possible )

Inverse of f(x)=(x+3)/(7) is f^(-1)(x)=7x-3

Hence, The function inverse function f(x)=(x+3)/(7) is f^(-1)(x)=7x-3

Answer: Hello there!

A function only can have an inverse if the function is injective and surjective (and continuous):

Then we need to see; if f(x1) = f(x2) = y, and x1 is different from x2, then f(x) has not an inverse:

a) f(x) = Ix - 4I + 1

for example, f(0) = I-4I + 1 = 5

and f(8) = I8 -4I + 1 = 4 + 1 = 5

then f(x) does not have an inverse

b) f(x) = 25x^2 + 70x + 49

This is a cuadratic function, wich is graphed as a arc going up or down, wich means that there are two values of x that give the same value for f(x), then this function has not inverse. (this will be the case for all even powers)

c) f(x) = x^4

Again, an even power. But let's probe it:

f(1) = 1^4 = 1

f(-1) = (-1)^4 = 1

f(x) does not have an inverse:

d) f(x) = x + 3/7

Ok, here we have a linear equation, wich means that is injective and surjective.

The inverse of this function can be g(x) = x - 3/7

proof:

f(g(x)) = f( x - 3/7) = (x - 3/7) + 3/7 = x

then f and g are inverses of each other.

(if in this case f(x) = (x + 3)/7 = x/7 + 3/7 is also a linear equation, so it is injective and surjective (and continuous), wich implies that has an inverse)

An angle measures 142° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

              19° and 161°

Step-by-step explanation:

A - an angle

S - its suplementary angle

A = S - 142°

Suplementary angles add to 180° so:

A + S = 180°

S - 142° + S = 180°

2S  = 322°

S = 161°

A = 161° - 142° = 19°

7x=2 what does x equal

Answers

X=2/7 if I’m correct:)

Thelma thrifty went to her bank. she had a balance of $1,209.76 in her savings account. she withdrew $131.44 and the teller credited her account with $6.67. what is her new balance?

Answers

Based on the given information above, Thelma had a balance of $1,209.76 and withdrew $131.44, so the remaining would be $1,708.32. But the teller credited her account with $6.67. Credited this means that the money is into your account. So, her new balance would be therefore, $1,084.99. Hope this answers your question.

Answer:

her new balance is $1,084.99

How are rectangular prims, triangle prims, and cubes different? How are they the same

Answers

Answer:

Step-by-step explanation:

a cube is a rectangular prism with all sides equal, and therefore all faces of equal area. A rectangular prism will have 4 faces of equal area and 2 faces of equal area. ... A rectangular prism has four faces that are rectangles and two faces that are squares. A cube has six faces that are squares.