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3 years ago

Please please please helpppp, (please show work if you can)

Mathematics

1 answer:

____ [38]3 years ago

8 0

Answer:

∴ m∠KIJ = 18° and m∠HIJ = 50°

Thus, option a is correct.

Step-by-step explanation:

From the figure, it is clear that:

m∠KIH = m∠HIJ + m∠KIJ

Given

m∠KIH = 68°

m∠KIJ = (2x + 6)°

m∠HIJ = (9x - 4)°

now substituting m∠KIH = 68°, m∠KIJ = (2x + 6)° and m∠HIJ = (9x - 4)° in the equation

m∠KIH = m∠HIJ + m∠KIJ

68° = (2x + 6)° + (9x - 4)°

switch sides

$\left(2x+6\right)+\left(9x-4\right)=68$

Group like terms

$2x+9x+6-4=68$

$11x+2=68$

Subtract 2 from both sides

$11x+2-2=68-2$

Simplify

$11x=66$

Divide both sides by 11

$\frac{11x}{11}=\frac{66}{11}$

Simplify

$x=6$

Hence, the value of x = 6

Therefore,

m∠KIJ = (2x + 6)° = 2(6) + 6 = 12 + 6 = 18°

m∠HIJ = (9x - 4)° = 9(6) - 4 = 54 - 4 = 50°

∴ m∠KIJ = 18° and m∠HIJ = 50°

Thus, option a is correct.

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Taylin buys 5 ounces of tea leaves for $2.35. At this rate, how much money does she need to buy 12 ounces of tea leaves? (second

MissTica

Answer:

see below

Step-by-step explanation:

We can determine how much 12 ounces cost by using ratios

5 ounces 12 ounces

-------------- = -------------------

2.35 x

Using cross products

5x = 12*2.35

5x = 28.2

Divide each side by 5

5x/5 = 28.2/5

x =5.64

If she has 10 dollars

5 ounces y ounces

-------------- = -------------------

2.35 10

5*10 = 2.35y

50 = 2.35y

Divide each side by 2.35

50/2.35 = 2.35y/2.35

21.27659574 =y

She can buy 21.3 ounces

7 0

3 years ago

Read 2 more answers

Use the graph. Which system of equations is consistent and dependent?

NISA [10]

Answer:

Option A

Step-by-step explanation:

A system of equations is consistent when it has at least one solution. If the system is represented by lines it's not consistent if the lines that represent it never intercept each other. Now, if a system is consistent and has an infinite number of solutions then we say that is also dependent. When you graph the equations of a consistent and dependent system those graph must all be the same. Let's use this to find the answer. As you can see the graph of option B is composed of two different lines that we can identify so this is not a dependent system. The same happens with C and D, the graph of each of these systems is composed of two lines instead of one. Now let's see if A is dependent. We have the following equations:

y=2x+1

y-1=2x

If the second equation can be rewritten as the first one then they represent the same line and the system is dependent. Let's take the second equation and add 1 to both sides:

y-1+1=2x+1

y=2x+1

Which is exactly the same equation as the first one. Then these two equations represent the same line. Then the answer is option A.

Hence, the correct answer is Option A

4 0

3 years ago

How many quarts of pure pineapple juice should Theo add to a 20% pineapple drink to create 5 quarts of a 50% pineapple juice mix

PIT_PIT [208]

1.875 quarts of pure pineapple juice should Theo add to a 20% pineapple drink.

Explanation

Suppose, $x$ quarts of pure pineapple juice should be added with 20% pineapple drink.

As the amount of the mixture is 5 quarts, so the amount of 20% pineapple drink will be: $(5-x) quarts$

Percentage of juice in the pure pineapple juice is 100% and in the mixture is 50%

So, the equation will be.....

$1.00(x)+0.20(5-x)=0.50(5)\\ \\ 1.00x+1-0.20x=2.50\\ \\ 0.80x=2.50-1\\ \\ 0.80x= 1.50\\ \\ x=\frac{1.50}{0.80}=1.875$

So, 1.875 quarts of pure pineapple juice should Theo add to a 20% pineapple drink.

5 0

3 years ago

Can someone help me please im very confused and please use step by step please -2/3x+1<7

Brut [27]

Answer:

x>-9

Step-by-step explanation:p

1.) Subtract 1 from both sides

-2/3x+1<7

-1<-1

= -2/3x < 6

2.) Multiple the 3 (denominator) in order to get rid of the fraction

3(-2/3x) < (6)3

= -6/3x < 18 (simplify the 6/3 into 2)

= -2x < 18

3.) Divide by -2 (when you divide with a negative number, your sin is going to switch, meaning it will turn into a '>' sign)

-2x / -2 < 18/-2

= x > -9

*ALSO*

If you want to graph it on a number line, it would look something like the picture above. (the circle is open because it doesn't have the line underneath. You're symbol also indicates which way you shade!! < = left .....> = right.....think of them like arrows :) )