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topjm [15]
3 years ago
7

Manual and his friends celebrated his birthday at the FunTimes game center. He spent 4/7 of his money on go-karts and now he has

$11.25 left. How much money did he spend on go-karts?
Mathematics
1 answer:
ioda3 years ago
6 0

Answer:$4.07

Step-by-step explanation:

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The measures of the angles in a triangle are in the ratio of 2:2:4. Find the exterior
scoray [572]

Given:

The measures of the angles in a triangle are in the ratio of 2:2:4.

To find:

The exterior angle that is adjacent to the largest angle.

Solution:

Let the interior angles of the triangle are 2x, 2x and 4x respectively.

According to the angle sum property, the sum of interior angles of a triangle is 180 degrees.

2x+2x+4x=180^\circ

8x=180^\circ

x=\dfrac{180^\circ}{8}

x=22.5^\circ

Clearly, x=22.5>1, so 4x is the largest angle between 2x, 2x and 4x.

Now,

\text{Largest angle}=4x

\text{Largest angle}=4(22.5^\circ)

\text{Largest angle}=90^\circ

Let the required exterior  angle that is adjacent to the largest angle be y.

Interior angle and adjacent exterior angles are supplementary, so their sum is 180 degrees.

\text{Largest angle}+y=180^\circ

90^\circ+y=180^\circ

y=180^\circ-90^\circ

y=90^\circ

Therefore, the exterior  angle that is adjacent to the largest angle is 90°.

3 0
2 years ago
(2, - 1); 4x + 3y = 5
Mariana [72]
(2,-1)
(x-y)
4(2) + 3(-1) = 5
4×2=8
3×-1= -3
8+(-3)=5

i hope that helps i dont know how to explain it any better
4 0
3 years ago
I don't understand this​
elena55 [62]

Answer:

Given that measure 2 is 79 degrees, we know it'll be <u>supplementary</u> to angle 1 meaning that that both angle measures 1 and 2 will equal 180 degrees:

79 + x = 180

-79        -79

x = 101, ∠1 = 101°

Angles 2 and 4 are <u>vertical</u>, so they are congruent meaning they measure the same degrees:

if ∠2 = 79, then ∠4 is also equal to 79°

Now that we found the measure of angle 1, we can determine the measure of angle 3 since they are <u>vertical</u> as well, (vertical angles are congruent, meaning they measure the same degrees):

if ∠1 = 101, then ∠3 is also equal to 101°

8 0
2 years ago
Can someone please help thanks
cricket20 [7]
The slope is for this table is equal to 0.75
6 0
2 years ago
The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. What was the temperature on
3241004551 [841]
A negative change is the same thing as subtraction. So, 32.6 minus -8.25 is 40.85. 
3 0
3 years ago
Read 2 more answers
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