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Pachacha [2.7K]
2 years ago
10

If point D is placed on AC, how will the measure of DAB relate to the measure of CAB?

Mathematics
1 answer:
xeze [42]2 years ago
6 0

Answer:angle DAB will be equal to angle CAB

Step-by-step explanation:

AC is a straight line and forms one of the sides of triangle ABC. If point D is placed on line AC, angle DAB would remain equal to angle CAB since they are on the same line the angle formed with line AB remains the same.

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Paula invited some friends to dinner and she plans to make fajitas at the grocery store she spent $2.56 on red bell peppers and
densk [106]

Answer: 2.8

Step-by-step explanation:

Given Data:

Money spent by Paula for red bell peppers = $2.56

Money spent by Paula on green bell peppers = $1.92

Both pepper cost = $1.60/ pound

Therefore:

Total pounds of bell peppers bought by Paula

= cost of green bell pepper + red red bell pepper / price/pound

= $2.56 + $1.92 / $1.60

= $4.48 / $1.60

= 2.8 pounds

Paula bought 2.8pounds of pepper

6 0
2 years ago
Read 2 more answers
Two similar triangles are shown below: Two triangles are shown. The sides of the triangle on the left are marked 6, 4, 3. The si
Airida [17]

Answer:

  • a.  ∠w and ∠v; ∠x and ∠y

Step-by-step explanation:

We can see that the scale factor is 2

<u>Corresponding sides have length of:</u>

  • 6 and 3;  4 and 2;  3 and 1.5

<u>Therefore corresponding angles, opposite to corresponding sides are:</u>

  • ∠x and ∠y;
  • ∠w and ∠v

<u>Correct answer option:</u>

  • a.  ∠w and ∠v; ∠x and ∠y

6 0
2 years ago
-4x-15y=-17<br>-x+5y=-13<br><img src="https://tex.z-dn.net/?f=%20-%204x%20-%2015y%20%3D%20%20-%2017%20%20%5C%5C%20%20-%20x%20%2B
salantis [7]
To solve this system of linear equations we need a little trick called elimination steps are below

we are given the following system of equations
- 4x - 15y = - 17
- x + 5y = - 13
if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so
- 4x - 15y = - 17
- 4( - x + 5y = - 13)
simplify and we get
- 4x - 15y = - 17
4x - 20y = 52
now we can combine like terms on each side with the x's cancelling and get

- 35y = 35
now divide off -35
y = - 1
great now we can go back to our original system and pick a equation and substitute y back in to find x lets use

- x + 5y = 13
so now we substitute y and get
- x + 5( - 1) = 13
- x - 5 = 13
- x = 17
x = - 17

now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)
6 0
2 years ago
It takes 12 minutes to fill an entire bathtub using both the cold and hot water. If just the cold water is used, it takes 18 min
Kipish [7]

Answer:

<h2>It takes 36 minutes to fill the bathtub using just hot water.</h2>

Step-by-step explanation:

We are gonna name V the complete volume of the bathtub, which is filled a certain amount of minutes. Each filling rate or speed is gonna be expressed as: \frac{V}{t}.

So, if we apply this consideration to each case we have:

Using cold and hot water: \frac{V}{12}

Using only cold water: \frac{V}{18}

Using only hot water: \frac{V}{x}; because we don't knot the time it takes to fill the bathtub with hot water.

Now, as you can see, Cold and Hot water is a sum of cold water only and hot water only:

\frac{V}{12}=\frac{V}{18}+\frac{V}{x}

Solving the equation for <em>x: </em>

\frac{V}{12}=\frac{xV+18V}{18x} \\\frac{V}{12}=\frac{(x+18)V}{18x}\\\\\frac{18xV}{V}=12(x+18)\\18x=12x+216\\18x-12x=216\\6x=216\\x=\frac{216}{6}=36

Therefore, it takes 36 minutes to fill the bathtub using just hot water.

7 0
2 years ago
Read 2 more answers
Evaluate e − 1 2 f e− 2 1 ​ fe, minus, start fraction, 1, divided by, 2, end fraction, f when e = 15 e=15e, equals, 15 and f = 2
ivolga24 [154]
The answer 456 fe
Because it the benefit is doing today
7 1
2 years ago
Read 3 more answers
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