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3 years ago

The measure of angle D is 5 times the measure of angle E. The two angles are supplementary. Find the measure of each angle

1 answer:

4 0

Angle e = x angle d = 5x supplementary means they add up to 180
x + 5x =180
6x = 180
6x/6 = 180/6
x = 30
so angle e = 30 and angle d = 5(30) = 150

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Scorpion4ik [409]

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3 0

2 years ago

What is the range of the relation? {(1, 2), (2, 4), (3, 2), (4, 6)} A.{2, 4} B.{1, 2, 3, 4, 6} C.{2, 4, 6} D.{1, 2, 3, 4}

tamaranim1 [39]

$(1)\ \ \ \ range:\ \ \ \{2, 4, 6\}\ \ \ \Rightarrow\ \ \ Ans.\ C\\\\(2)\ \ \ function:\ \ \ \{(1, 2); (2, 2); (3, 2); (4, 2)\}\ \ \ \Rightarrow\ \ \ Ans.\ D\\\\(3)\ \ \ f(4)=2-3\cdot4=2-12=-10\ \ \ \Rightarrow\ \ \ Ans.\ C\\\\(4)\ \ \ direct:\ \ \ y=ax\ \ \ \Rightarrow\ \ \ y= \frac{1}{3} x\ \ \ \Rightarrow\ \ \ Ans.\ B\\\\(5)\ \ \ f(x)=ax\ \ \ and\ \ \ f(4)=12\\.\ \ \ \ \ \Rightarrow\ \ \ 12=a\cdot4\ \ \ \Rightarrow\ \ \ a=3\ \ \ \Rightarrow\ \ \ f(x)=3x\ \ \ \Rightarrow\ \ \ Ans.\ (?)\\\\$

$(6)\ \ \ f(x)=ax^2\ \ \ and\ \ \ f(2)=48\\.\ \ \ \Rightarrow\ \ 48=a\cdot2^2\ \ \Rightarrow\ \ a=48:4=12\ \ \Rightarrow\ \ f(x)=12x^2\ \Rightarrow\ \ Ans.\ C\\\\(7)\ \ \ inversely:\ \ \ f(x)= \frac{a}{x} \ \ \ and\ \ \ f(2)=4\\.\ \ \ \Rightarrow\ \ \ 4= \frac{a}{2} \ \ \ \Rightarrow\ \ \ a=4\cdot2=8\ \ \ \Rightarrow\ \ \ y= \frac{8}{x}\ \ \ \Rightarrow\ \ \ Ans.\ B$

5 0

3 years ago

Josh is hiking Glacier National Park. He has now hiked a total of 17 \text{ km}17 km17, start text, space, k, m, end text and is

EastWind [94]

Answer:

The equation to determine the total length in kilometers is $\frac{h}{2} =(17+2)$

The total length in kilometers of Josh’s hike is 38 km.

Step-by-step explanation:

Given:

Let the total length in kilometers of Josh’s hike be h.

Now Given that He has now hiked a total of 17 km and is 2 km short of being 1/2 of the way done with his hike.

It means that to reach half of the length of total length Josh needs 2 more km to add in his hiking which is done which is of 17 km.

Framing the above sentence in equation form we get;

$\frac{h}{2}=(17+2)$

Hence, The equation to determine the total length in kilometers is $\frac{h}{2} =(17+2)$

Now Solving the above equation we get;

First we will multiply 2 on both side using Multiplication property we get;

$2\times \frac{h}{2}= 2\times(17+2)\\\\h =2\times 19 =38 \ km$

Hence, The total length in kilometers of Josh’s hike is 38 km.

4 0

2 years ago

Read 2 more answers

Which expression is the correct translation of the following word phrase?

Llana [10]

Hey, there!

The parentheses would make it multiplication
The word sum means add
A number was unknown, so we will label it as "x"

So, let's see what we're working with here!

If you chose "Option A" the question would be "five multiplied by a number and the sum of 3" (that doesn't give you the right answer"
For B. same thing with option A
For "Option C" its not asking you "a number with sum of three times five"

So, this leaves "Option D." as your answer because 3 is getting multiplied by the sum of some number and five

Good luck on your assignment and enjoy your day!

~MeIsKaitlyn:)

3 0

2 years ago

Hi can someone pls pls plsssss help me with this sum

Dafna1 [17]

do 12.5/5 then you will get ur answer

6 0

2 years ago