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2 years ago

Find the value of x in kite EFGH

Mathematics

2 answers:

blsea [12.9K]2 years ago

8 0

Answer:

X = 105

Explanation:

kolbaska11 [484]2 years ago

3 0

Answer:

x = 105

Step-by-step explanation:

the sum of all interior angles of any four-sided figure has 360 degrees

∡F and ∡H are equal

add all four expressions and set them equal to 360

x + (x + 5) +( x + 5) + (140 - x) = 360

combine like terms

2x + 150 = 360

2x = 210

x = 105

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What is the mean absolute deviation of the data set? {12, 10, 10, 8, 6, 7, 7, 12}

Simora [160]

Answer:

The MAD of {12, 10, 10, 8, 6, 7, 7, 12} is 2.

Step-by-step explanation:

Step 1 : Add all the values Up:

 $12+10+10+8+6+7+7+12=72$

Step 2 : Divide them by the number of items or numbers:

$\frac{12+10+10+8+6+7+7+12}{8}=9$

Step 3: Find the absolute deviations:

$12-9=3\\10-9=1\\10-9=1\\9-8=1\\9-6=3\\9-7=2\\9-7=2\\12-9=3\\$

Step 4: Add all the absolute deviations:

$3+1+1+1+3+2+2+3=16$

Step 5: Find the mean:

$\frac{3+1+1+1+3+2+2+3}{8}=2$

7 0

2 years ago

19) At a local river, there were 48 alligators lying on the riverbank. If of the alligators wereasleep, how many were not asleep

sergey [27]

19) 48 alligators; 7/8 of the alligators were asleep. How many were not asleep?

8/8 - 7/8 = 1/8
48 * 1/8 = 48/8 = 6 alligators were not asleep.

20) 2/3 of the student population participated. 1,500 is the student population of the school. HOw many attended the bike rally?

1500 * 2/3 = 1500*2 / 3= 3000 / 3 = 1000 students attended.

21) 18 times at bat:
Kayla 5/6 of the time = 18 * 5/6 = 18*5 / 6 = 90/6 = 15 hits
Tia 8/9 of the time = 18 * 8/9 = 18*8 / 9 = 144/9 = 16 hits

Tia got more hits.

3 0

2 years ago

You are creating a decorative rope that is at least 20 feet long. You do not have enough 6 inch beads to make the rope, so you w

Inessa05 [86]

You can use at most 24 beads that are 10 inches long to decorate the rope.

Step-by-step explanation:

Given,

Length of rope = 120 feet

1 foot = 12 inches

20 foot = 20*12 = 240 inches

Length of bead = 10 inches

Let,

x represents the number of beads used on rope.

As the rope is 240 inches long, therefore, the total length of beads cannot exceed 240 inches.

Length of each bead*Number of beads ≤ length of rope

$10*x\leq 240\\10x\leq 240$

Dividing both sides by 10

$\frac{10x}{10}\leq \frac{240}{10}\\x\leq 24$

You can use at most 24 beads that are 10 inches long to decorate the rope.

Keywords: inequality, division

Learn more about inequalities at:

#LearnwithBrainly

4 0

2 years ago

Which graph represents the function f (x) = StartFraction 4 Over x EndFraction?

beks73 [17]

Answer:

2nd graph (image)

Step-by-step explanation:

The function to graph is:

$f(x)=\frac{4}{x}$

It follows the general pattern of the function: $f(x)=\frac{1}{x}$ , which is general shape and in 1st and 3rd quadrants. So, we can eliminate 3rd and 4th choices (because of quadrants).