The first triangle is an enlargement of the second.
Calculate the size of the missing sides and angles.

The First Triangle Is An Enlargement Of The Second.Calculate The Size Of The Missing Sides And Angles.

Answers

Answer 1

Answer:

large triangle:

base = 6.64 cm

hypotenuse = 8.31 cm

small triangle:

base = 4 cm

Step-by-step explanation:

large triangle:

tan 37 = 5/base

0.7536 = 5/base

base = 6.64 cm

using the Pythagorean theorem:

hypotenuse² = 5² + 6.64²

hypotenuse² = 25 = 44.02 = 69.02

hypotenuse = 8.31 cm

small triangle:

using the Pythagorean theorem:

base² = 5² - 3²

base² = 25 - 9 = 16

base = 4 cm


Related Questions

Which of the following equations represents a line that passes through the points (10,9) and (0,-6)?
I. 3x-2y=12
II. y= 3/2x - 6
- - - - - - - - - - -
1- neither
2- I only
3- II only
4 - I and II only

Answers

Answer:

4

Step-by-step explanation:

I saw karma so i came as fast as I could- welp anyways

Lets test the first equation and coordinate #1 first, 3x-2y=12, and (10,9).

Here we can substitute x as 10 and y as 9, and solve the equation to see if 3(10)-2(9) equals 12 or not.

30-18=12, yep

now lets test the second coordinate, (0, -6). Substitute x as 0 and y as -6, and solve the equation.

3(0)-2(-6)=12

0+12=12, yep

So I definitely works

For II, lets do the same thing

(10, 9) -- 9=3/2*10-6

9=15-6, works

(0, -6) — -6= 3/2*0-6

-6=0-6, also works

So uh therefore I and II both work you see what I mean-

i apologize in advance if i made you more confused than you already are-

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?

Answers

Answer:

4

Step-by-step explanation:

The LCD (Least Common Denominator) of all the fractions is 4, so you only need to multiply by 4.

Hope this helps :)

Answer:

Step-by-step explanation:

The greatest denominator is 4 so all the fractions will be eliminated when all terms are multiplied by 4.

The number of bacteria in a petri dish is 50,000 (on day 0) if the amount is doubling each day by when will the number of bacteria be 400,000. Let x represent the number of days and f(x) represent the amount of bacteria. Write an equation.

Answers

Answer:

f(x) = 50000*2^x3 days

Step-by-step explanation:

Given:

Initial amount of bacteria = 50000Growth rate = 2 times a day

Required equation:

f(x) = 50000*2^x

Solve for x:

400000 = 50000*2^x2^x = 400000/500002^x = 82^x = 2^3x = 3

After 3 days bacteria numbers will reach 400000

i can never understand these can someone help​

Answers

12/15=x/25
Cross multiply.
15x=300
x=20

Therefore, the missing side is 20.

Which expression is equal to x + (f + g)? (1 point)

a
xf + g

b
x + fg

c
(x + f) ⋅ g

d
(x + f) + g

(urgent)

Answers

try b out for me ! :))

because you are adding and f and g are together and x is separated if that makes sense

A relay race is 1/4 mile long and is run by 4-member teams. If each team member runs the same distance, what fraction of a mile does each team member run? Explain how you found your answer

Answers

Answer:

0.0625 miles

Step-by-step explanation:

There is a faster way but this way makes more sense

1/4 miles = 440 yards

440/4 (since 4 people)

110 yards per person

Put back into miles

Everyone ran 0.0625 miles

solve for x then, find m < FDG and m <GOF. ​

Answers

Answer:

choice 4) x = 27, ∠FDG = 62°, ∠GOF = 118°

Step-by-step explanation:

2x + 8 + 4x + 10 = 180°

6x + 18 = 180

6x = 162

x = 27

∠FDG = 2(27) + 8 = 62°

∠GOF = 4(27) + 10 = 118°

Which value is a solution to the inequality x 4

Answers

Answer:

The answer is D

Step-by-step explanation:

We want to see which of the given values is a solution of the inequality:

x < 4

The correct option is A, x = 3.

Finding the solution:

So the inequality:

x < 4

This means that the variable must be a number smaller than 4.

Then we just need to select the option that is smaller than 4, the only option that meets this requirement is option A, x = 3

Also, as you can see in the number line, the only number that is in the shaded part is x = 3 (from the ones in the options).

If you want to learn more about inequalities, you can read:

https://brainly.com/question/18881247

asap 25 points and brainliest (financial math)
What is a downside of receiving a tax refund?

Answers

Tax returns aren't gifts. They're refunds you get because the IRS withdrew too much from your paychecks or had withdrawals from other investment accounts. While it may seem like a great thing to have a tax return come each April, you pay for it the other 11 months of the year.

“A refund means you're giving your cash flow and income to the government in an interest-free loan.” The interest rate on one-year U.S. bonds is around 1.5%, so any interest the government could hypothetically pay on that loan would be very small: about $15 for every $1,000 in your refund.

The quadrilateral below is a rectangle. Solve for x and m

Answers

Answer:

x = 13

∠WZX = 57°

Step-by-step explanation:

Because it is a rectangle, ∠XYZ is 90°

∠XZY + ∠YXZ = 90

(5x - 8) + (x + 20) = 90

simplify:

6x + 12 = 90

subtract 12 from each side

6x = 78

divide both sides by 6

x = 13

∠WZX is complimentary to angle (x + 20)

∠WZX = 90 - (13 + 20) = 57°

Evaluate the following expression if x=3: x^1

Answers

Answer:

3

Step-by-step explanation:

I need the answer asap please​

Answers

Answer:

62.36

Step-by-step explanation:

hope it is helpful for you mark me brainliest

Find the missing side lengths please help ​

Answers

Answer:

Using Pythagoras theorem for right angled triangle,

x^2 = 14^2 + 15^2

X= ✓ 196 + 225

X= ✓ 421

X=20.5

Order the fractions, decimals, and percents from least to greatest. ( If you get it right I will mark you Brainliest.

Answers

Step-by-step explanation:

Convert all into decimals:

0.14, 4/8=0.5,0.33

Answer:

0.14, 0.33, 0.5

      or

0.14, 3/9, 4/8

someone pls help me i need to find the amount of hours

Answers

Answer:

5.65 hours

Step-by-step explanation:

Given: Initial number of bacteria = 1000

N=1000(2)

To find: Time taken to: increase to 50,000

Solution: N=1000(2)

50,000=1000(2)Taking log,log 50,000 = log 1000(2)4.7 = 3 + _  log 2_ = 1.7/log 2 = 5.65

Answer = 5.65 hours

_ = symbol after the two in the brackets that is high up and smaller.

Find the slope (12,2),(18,-2)

Answers

Answer:

[tex]\frac{-2}{3}[/tex]

Step-by-step explanation:

y2-y1/x2-x1

-2-2/18-12

-4/6

-2/3

How do you find averages

Answers

Answer:

You add up all numbers then divide it by how many numbers.

Step-by-step explanation:

Example. You have 1, 2, 3, 4, 5.

So 1+2+3+4+5

=15

Then 15÷5

So answer would be 3.

Hope this helps.

A local shelter is having an Adopt-a-thon for kittens and puppies. Kittens cost $50 to adopt and puppies are $75. The shelter made $1200 during the Adopt-a-thon event and adopted off twice as many puppies as kittens. Write and solve a system to find how many puppies and kittens were adopted​

Answers

Answer:

Step-by-step explanation:

P=2K

50K+75P=1200, using P from above makes this equation become

50K+75(2K)=1200

50K+150K=1200

200K=1200

K=6, since P=2K

P=2(6)=12

So 12 puppies and 6 kittens were adopted.

Identify the slope of the graph below

Answers

Answer:

Positive

Step-by-step explanation:

Answer:

POSITIVE

Step-by-step explanation:

It's positive because the slope is rising like this /

If it was negative it would be declining like this \

hope that makes sense but I'm 1000% sure it's positive

1. Complete the table

y=x+7

X
-1
0
2
4

Answers

y = x + 7

For -1:

y = -1 + 7 = 6

y = 7

(x,y) = ( -1, 7)

For 0:

y = 0+ 7

y= 7

(x,y) = (0,7)

For 2:

y = 2+ 7

y= 9

(x,y) = (2,9)

For 4:

y = 4+ 7

y= 11

(x,y) = (4,11)

Y= -6/5x-7 and y=2/5x+1

Answers

Answer:

x = -5

y = -1

Step-by-step explanation:

Y= -6/5x-7 and y=2/5x+1

then:

-6/5x - 7 = 2/5x + 1

simplify:

-8/5x = 8

divide both sides by 8:

-1/5x = 1

multiply both sides by 5:

-x = 5

x = -5

y = 2/5(-5) + 1 = -2 + 1 = -1

B
A baby whale was born at the zoo. The baby
weighed 234.268 pounds. What is this number
rounded to the nearest hundredth?
a) 234.3
234:26
b) 234.26
c) 234.27
d) 234.268



Answers

Answer:

B I think hope it is right

What is the Mean of the data below 2,4,5,6,8,2,5, 6​

Answers

the answer is 4.75

Step-by-step explanation:

The mean of a set of numbers, sometimes simply called the average , is the sum of the data divided by the total number of data. Example 1 : ... There are 8 numbers in the set. Add them all, and then divide by 8 . so just add all you numbers and divide it by 8. simple

Max is asked to prove that LM=MN Here is hs proof.

This is not a correct proof explain why

Answers

Answer:

Its not true because:

Step-by-step explanation:

if you divide by M, with M not being 0, ypu have the equation L=N which is false

Austin borrowed money from a credit union for 4 years and was charged simple interest at an annual rate of 5% the total interest that he paid was $160 how much money did he borrow​

Answers

Given:

Rate of simple interest = 5%

Time = 4 years

Total interest = $160

To find:

The amount borrowed by Austin from a credit union.

Solution:

The formula for simple interest is:

[tex]I=\dfrac{P\times r\times t}{100}[/tex]

Where, P is principal, r is the rate of interest and t is the number of years.

Putting [tex]I=160,r=5,t=4[/tex] in the above formula, we get

[tex]160=\dfrac{P\times 5\times 4}{100}[/tex]

[tex]160=\dfrac{20P}{100}[/tex]

[tex]160=\dfrac{P}{5}[/tex]

Multiply both sides by 5.

[tex]800=P[/tex]

Therefore, Austin borrowed $800 from a credit union for 4 years.

I need help
A line that includes the point (9, 10) has a slope of -1/9 what is its equation in point-slope
form?

Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.

Answers

Answer:

y -10 = -1/9 (x-9)

Step-by-step explanation:

Point slope form is

y-y1 = m (x-x1)

y -10 = -1/9 (x-9)

15. You are re-teaching an estimation lesson. You could use:
O A) T fan
OB) poker chips
O C) the game of chess.
OD) a box of paper clips.
16. Operations is another word for
A) estimation
O B) place value
C) computation
O D) story problems

Answers

15) D a box of paper clips and 16) C Computation
The answer Is A I hope this helps :)

Find the measures of the numbered angles in rhombus ABCD.

Answers

Answer:

∠1 = 66°

∠2 = 24°

∠3 = 24°

∠4 = 90°

Step-by-step explanation:

∠1 = 90 - 24 = 66°

∠2 = 24°

∠3 = 24° because segment DB bisects ∠ABC

∠4 = 90° because it is a right angle

Select the correct answer.
If you roll a single six-sided die, what is the probability of rolling an odd number?

A 1/6

B 1/3

C 1/2

D 3

Please help!

Answers

Answer: that means you have a 3/6 chance which can be simplified to 1/2

1, 3 and 5 are the odd numbers

Step-by-step explanation:

Answer:

the answer is c 1/2

Step-by-step explanation:

since there are 6 numbers on the die that range from 1-6, that means there are three odd numbers, so the probability would be 3/6, which can reduce to 1/2

Find the missing side lengths. Leave your answers in simplest radical form.
Х
у
60°
30

Answers

ANSWER:
d. x = 15, y= 15√3

EXPLANATION:
This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows:
• 60 degrees = z√3
- this is the value for your y answer
• 30 degrees = z
- this is the value for your x answer
• Hypotenuse = 2z
- this is what we already have

We solve for what we already have which is the Hypotenuse = 30:
2x = 30
x = 15

We now have our x value which is 15.
Now we just plug in that x value for every expression for every angle.

x = 15
y = 15√3

Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications



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