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3 years ago

Need help with this asap. This question confuses me

Mathematics

1 answer:

Softa [21]3 years ago

7 0

Answer:

<HKJ = 90

<FKG = 42

<FKJ = 138

<IKJ = 42

<FKH = 132

<GKI = 138

Step-by-Step :

<GKH , <HKI , and <IKJ all make up a line. A line is 180 degrees.

90 + 48 = 138 180 - 138 = 42 <IKJ = 42

<FKG is a vertical angle to <IKJ. Vertical angles are congruent.

<FKG = 42

<FKG and <FKJ make up a line. A line is 180 degrees.

180 - 42 = 138 <FKJ = 138

Hope this helps.

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3 years ago

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Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. Which equation c

Alex17521 [72]

Answer:

Equation is $0.5 \text{ gal }\times(0.1)+ x\text{ gal }\times (0.35)=(0.5 + x)\times (0.15)$

0.125 gallons of the 35% acid solution Eli should add.

Step-by-step explanation:

Given : Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution.

To find : Equation can you use to determine how many gallons of the 35% acid solution Eli should add?

Solution :

Let x be the gallons of the 35% acid solution.

According to question,

For 0.5 gallon of a 10% acid solution = $0.5\times 0.1$

For x gallon of a 35% acid solution = $x\times 0.35$

For (0.5+x) gallon of a 15% acid solution = $0.5+x\times 0.15$

The equation form is

$0.5 \text{ gal }\times(0.1)+ x \text{ gal }\times(0.35)= (0.5+x)\times (0.15)$

Solving the above equation,

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$x =\frac{0.025}{0.2}$

$x=0.125$

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3 years ago

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Answer:

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Step-by-step explanation:

Given:

Total cost spent on prizes for games = $25

Cost of one lip balm = $1.25

Cost of one mini notebook = $2.50

A) linear equation in STANDARD FORM that can be used to determine how many of each prize she can buy.

Let the number of lip balms be x and the number of mini note books be y. Then

$1.25x+ 2.50y = 25$

B. Graph the equation using x- and y- intercepts.

Now by trial and error method

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0,1,2,3,4,5,6,7,8,9,10 mini note books respectively

Now plotting these value in the graph, we get the below graph

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4 years ago

Solve using substitution-2x-y=-9. 5x-2y=18

Sunny_sXe [5.5K]

Equation 1) -2x-y=-9
Equation 2) 5x-2y=18

Multiply all of equation 1 by 2, so that both equations have (2y) in them.

1) 2(-2x-y=-9)

Simplify.

1) -4x-2y=-18
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Subtract equations with each other.

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Divide both sides by -9.

x=4

Plug in 4 for (x) into equation 1.

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Simplify.

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Add 8 to both sides.

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Divide both sides by -1.

y=1

(4, 1)

~Hope I helped!~

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3 years ago

Need help with this asap. This question confuses me​

Need help with this asap. This question confuses me