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Rzqust [24]
3 years ago
10

(WILL GIVE BRAINLIEST)

Mathematics
1 answer:
weeeeeb [17]3 years ago
4 0

Answer:

m<I=57

m<J=57

m<K=66

Step-by-step explanation:

All the angles in a triangle add up to 180 degrees.

m<I= 3x+18

m<K= 5x+1

m<I is congruent to m<J.

We can plug the information we already know into the equation.

3x+18+3x+18+5x+1=180

11x+37=180

Subtract 37 from both sides.

11x=143

x=13

Now, we can find out what the angles are.

m<I= 3x+18

m<I=3(13)+18

m<I=39+18

m<I=57

We know that m<I=m<J, so they are both equal to 57 degrees.

m<J=57

Now for m<K:

m<K=5x+1

m<K=5(13)+1

m<K=65+1

m<K=66

We know this is correct because 57+57+66=180.

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A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 5 pounds of trail mix, the total cost is
Maurinko [17]
Set up your two equations: 
<span>9x+7y=53 </span>
<span>3x+5y=25 </span>
<span>X=cost per pound of jelly bean </span>
<span>Y=cost per pound of trail mix </span>
<span>Multiply the second equation by (-3): </span>
<span>-9x-15y=-75 </span>
<span>+ 9x+7y=53 <---- copy first equation and add them </span>
<span>—————— </span>
<span>0x-8y=-22 </span>
<span>Then solve for y: </span>
<span>Y=2.76 this is your cost per pound of trail mix. </span>
<span>Then plug y back in to one of the original equations and solve for x: </span>
<span>3x+7(2.75)=25 </span>
<span>X=3.75 this is you cost per pound of jelly beans</span>
6 0
3 years ago
Find the surface area of the right triangular prism shown ​
Inessa05 [86]

The surface area of the triangular prism is 144 cm²

<u>Explanation:</u>

Given:

Base of the triangle = 4

Height of the triangle = 3

Hypotenuse of the triangle = 5

Length of the prism = 11

Surface area of the rectangular prism = ?

Surface area, A = ah+bh+ch+\frac{1}{2} \sqrt{-a^4 + 2(ab)^2 + 2(ac)^2 - b^4 + 2(bc)^2 - c^4}

On substituting the value, we get:

A = 4 X 11+ 3X11+5X11+\frac{1}{2} \sqrt{-(4)^2 + 2(4X3)^2 + 2(4X5)^2 - 3^4 + 2(3X5)^2-5^4} \\\\A = 144 cm^2

Therefore, the surface area of the triangular prism is 144 cm²

6 0
3 years ago
See the attachment below!!
olasank [31]

Answer:

Step-by-step explanation:

5 0
3 years ago
Why can't you have a shoe size of 4.5 and a height of 72 inches?
liq [111]

Answer:

Ok, lemme say something.

4.5 shoes are for 9 inch feet.

Dont think a 6 foot person is gonna fit tbh.

Step-by-step explanation:

A shoe size is for relation to feet size. Your feet grow from your height too, along with weight. If you are 6 feet, your feet are gonna be more than at least 1 foot.

4.5 shoes are for 9 inch feet

1 foot = 12 inches.

12 > 9.

12-9=3.

5 0
3 years ago
simplify negative 3 and 1 over 9 − negative 8 and 1 over 3. negative 11 and 1 over 12 negative 5 and 2 over 9 5 and 2 over 9 11
garri49 [273]
-3 1/9 - (-8 1/3) = -3 1/9 + 8 1/3 = 5 2/9
5 0
3 years ago
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