Triangle ABC is an isosceles right triangle. What is the measure of one base angle?
30°
45°
60°
90

Answers

Answer 1

Answer:

is B 45

Step-by-step explanation:

;)

hope this helps

Answer 2

The measure of base angle of the isosceles right angle triangle is 45°.

What is a right angle triangle?

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.

Given that,

Triangle ABC is an isosceles right angle triangle.

In an isosceles triangle, two sides are equal and corresponding angles are equal.

Let the corresponding angles are α and α.

Since, one angle of right angle isosceles triangle is 90°.

Also, the sum of angles of triangle is 180°

Implies that,

α  + α  + 90 = 180

2α  = 180 - 90

2α  = 90

α  = 45

The required value of angle α  is 45°

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Related Questions

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Answers

I- I'm speechless

Do you even have a question-

When designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.04

Answers

Answer: 601

Step-by-step explanation:

The formula to find the minimum sample size(n) , if the prior population proportion is unknown:

[tex]n=0.25(\dfrac{z^c}{E})^2[/tex], where E = margin of error , [tex]z^c[/tex] = critical z-value for confidence level c.

Given : E  = 0.04

Z-value for 95% confidence = 1.96

So, the minimum sample size required = [tex]0.25(\dfrac{1.96}{0.04})^2=0.25(49)^2[/tex]

[tex]= 0.25\times 2401=600.25\approx601[/tex]

Hence, the minimum sample size required = 601

what number is 0.79 more than 0.97

Answers

Answer:

1.76

Step-by-step explanation:

0.79 + 0.97

The number 1.76 is 0.79 more than 0.97.

What are numbers?

A number is a basic unit of mathematics. Numbers are used for counting, measuring, and comparing amounts. A number system is a set of symbols, or numerals, that are used to represent numbers.

Given what number is 0.79 more than 0.97,

Let the number be x,

x = 0.79 + 0.97

x = 1.76

Hence, the number 1.76 is 0.79 more than 0.97.

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A bag of garden soil weighs 44 pounds and holds 5cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags in cubic yards.

Answers

Answer:

Weight of 15 bags in Kg: 299.4 Kg

Volume of 15 bags in cubic yards: 1.11 cubic yards

Step-by-step explanation:

Weight of 15 bags is calculated as follows:

Let's convert 44 pounds to Kg.

1 pound-------0,453592 Kg

44pounds------x

To find the weight of 15 bags we have to multiply the weight of one bag by 15:

Weight of 15 bags=19.95*15=299.4 Kg

Volume of 15 bags is calculated as follows:

First we need to convert one bag volume that is given in cubit feet to cubic yards:

1 cubic feet---------------0.03704 cubic yard

2 cubic feet----------------x

To find the volume of 15 bags we have to multiply the volume of one bag by 15:

Volume of 15 bags=0.07407cubic yard*15= 1.11 cubic yards

Step-by-step explanation:

E 4) In the diagram below, the dimensions of the large rectangle are (3x-1) by (3x+7) units. The dimensions of the cut-out rectangle are x by (2x+5) units. Which choice expresses the area of the shaded region, in Square units? ​

Answers

Answer:

Option (D)

Step-by-step explanation:

Area of a rectangle = Length × width

Area of large rectangle = (3x - 1)(3x + 7) square units

                                       = (9x² + 21x - 3x - 7)

                                       = 9x² + 18x - 7

Area of small rectangle = (2x + 5)x

                                       = (2x² + 5x) square units

Area of the shaded region = Area of large rectangle - Area of small rectangle

= (9x²+ 18x - 7) - (2x² + 5x)

= (9x² - 2x²) + (18x - 5x) - 7

= (7x² + 13x - 7) square units

Therefore, Option (D) will be the correct option.

The expression that represents the area of the shaded region is:[tex]7x\² + 13x - 7[/tex]

The dimension of the big rectangle is given as:

Length: 3x - 1Width: 3x + 7

So, the area of the rectangle is:

[tex]Area = Length \times Width[/tex]

[tex]Area= (3x - 1) \times (3x + 7)[/tex]

Expand

[tex]Area = 9x\² + 21x - 3x - 7[/tex]

[tex]Area = 9x\² + 18x - 7[/tex]

The dimension of the small rectangle is given as:

Length: 2x + 5Width: x

So, the area of the rectangle is:

[tex]Area = Length \times Width[/tex]

[tex]Area= (2x + 5) \times x[/tex]

Expand

[tex]Area = 2x\² + 5[/tex]

The area of the shaded region is the difference between the area of the big and small rectangles.

So, we have:

[tex]Area = (9x\²+ 18x - 7) - (2x\² + 5x)[/tex]

Expand, and collect like terms

[tex]Area = 9x\²- 2x\² + 18x -5x- 7[/tex]

[tex]Area = 7x\² + 13x - 7[/tex]

Hence, the area of the shaded region is [tex]7x\² + 13x - 7[/tex]

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In the figure, TW = 3x + 5, WX = 10, and TX = 5x - 9. What is the value of x?

Answers

Answer:

5

Step-by-step explanation:


y X
0 -1
1 3
2 7
3 11
4 15


Which equation matches the function described in the table?
A)
y = 4x
B)
y = x-1
y = x+ 5
D)
y = 4x - 1

Answers

Answer:

D) y=4x-1

Step-by-step explanation:

Answer:

D) y=4x-1

Step-by-step explanation:

Each y-value in the table is 1 less than 4 times the corresponding x-value.

Anna and Bobie joined two different swimming classes at the same time.
Anna's swimming school charged an initial amount of $70 and Bobie's charged $250. Their monthly
fees were different.
The total amount paid for in the first t months is given by (PA) for Anna and (PB) for Bobie.
Anna paid $120 and Bobie paid $264 in total for the first two months, but after some months, they
found that they have paid the same amount in total.
After how many months will their total payments be the same and how much will it be?

Answers

Answer:

It would be 10 months for the price of $320.

Step-by-step explanation:

First we need to find how much Anna's swimming charge and Bobie's charge is.

PA=70+t The price of the month equals to the starting fee and monthly charge

120=70+2t The price of 2 months times the monthly charge

50=2t

25=t           is Anna's monthly charge

PB=250+t   is Bobies starting price and monthly charge

264=250+2t is the month charge for Bobie after 2 months

14=2t

7=t              is Bobie's monthly charge

70+25x=250+7x    We need to find x which is what month will satisfy both equations

25x=180+7x         Subtract 70 from both sides

18x=180                Subtract 7x from both sides

x=10                      divide 18 from both sides

Now we have the months that satisfy both equations we need to find the total price that matches with it. So we plug it back into both equations.

PA=70+25x                                               PB=250+7x

PA=70+25(10)                                            PB=250+7(10)

PA=70+250                                               PB=250+70

PA=320                                                      PB=320

hey guys. chicken leg peice

Answers

Answer: If gary works for 12.5 hours he will make 75 dollars.

Step-by-step explanation:

you would divide 48/8 to get 6

Then multiply 6 by 12.5

BTW- Gary should not work for this little ammount. This is under minimum wage

Answer:

75

Step-by-step explanation:

12 1/2 = 12.5

I divided 8 into 48 which is 6

Then I multiplied 12.5 and 6 = 75

Please answer this whole thing

Answers

Answer:

A

Step-by-step explanation:

10 x 10 x 10 x 10 = 10,000

Plz help !!!!! Will mark brainliest

Answers

I think it’s going to be B.

Answer:

B

Step-by-step explanation:

1) divide -21/-6 which gives you 7/2

2) Since v are both the same bases we can subtract to 6-8 = -2

3) A negative goes to the denominator. Therefore, it’s B

In ∆DEF, if m∠E is one more than three times m∠F and m∠D is three more than seven times m∠F, find the m∠D.

Answers

Answer: mD=115, mE=49, mF=16

Step-by-step explanation:

DEF is a triangle and were told to find angle measures.

If m∠E is (3F+1) and m∠D is (7F+3)

Use T-angle sum theorem and plug previous terms 7F+3+3F+1+F=180 which give F=16. Then substitute F=16 with angles D and E to find last results.

The measure of m∠D  is 115 degrees

In the given triangle ∆DEF, if m∠E is one more than three times m∠F, hence;

m∠E = 3m∠F + 1

Similarly, if m∠D is three more than seven times m∠F, then;

m∠D = 7m∠F + 3

Taking the sum of the angles and equate it to 180 degrees

m∠D + m∠E + m∠F = 180

7m∠F + 3 + 3m∠F + 1 + m∠F = 180

11m∠F + 4 = 180

11m∠F = 180-4

11m∠F = 176

m∠F = 16

Since m∠D = 7m∠F + 3

m∠D = 7(16) + 3

m∠D = 115 degrees

Hence the measure of m∠D  is 115 degrees

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5.
Eight feet of plastic tubing costs $4.08. If you only have $8.16 to spend, how much plastic tubing
can you afford?
Cho

Answers

Answer:

You can afford 16 feet of plastic tubing.

Step-by-step explanation:

Divide 8.16 by 4.08 = 2

Multiply 8 by 2 = 16

Hope this helps! Have a good day!

Answer:

Sixteen feet of plastic tubing

Step-by-step explanation:

4.08x2=8.16 and 8x2=16 so its just double the amount.

the variable u had a proportional relationship with x as suggested by the graph. use the graph to write an equation that models the line

the equation y=__ models the line.​

Answers

Answer:

y = 14

Step-by-step explanation:

Find three consecutive integers such that twice the sum of the first two is to less than three times the third

Answers

Answer:

Step-by-step explanation:

Let the consecutive integers be x - 1 , x , x + 1

Equation

2*(x - 1 + x) = 3*(x+1) - 2

Solution

2(2x - 1) = 3(x + 1) - 2           After the first two have been combined remove the brackets.

4x - 2 = 3x + 3 - 2               Combine the right

4x - 2 = 3x + 1

4x - 2 + 2 = 3x + 1 + 2         Add 2 to both sides

4x = 3x + 3                          Subtract 3x from both sides

4x-3x = 3x - 3x + 3             Combine

x = 3

Check

Left hand side

2(2 + 3)

2(5)

10

Right hand side

3*(x+1) - 2

3*(4) - 2

12 - 2

10

The answers at least agree.

The sum of the 112th term of the geometric series is 256 and the common ratio is 3/4. Find the first term of the first geometric series.

Answers

Answer:

First term = 64

Step-by-step explanation:

We are given the formula for the nth term of a geometric series to be;

S_n = (a1(1 - rⁿ))/(1 - r)

Where:

S_n is the sum of n terms

A1 is first term

r is common ratio

We are given;

S_112 = 256

r = ¾

Thus;

256 = a1(1 - ¾^(112))/(1 - ¾)

256 = a1(4)

a1 = 256/4

a1 = 64

Answer two questions about Equations A and B:

A. 3(x+2)=18
B. x+2=6







1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Multiply/divide both sides by the same non-zero constant

(Choice B)
B
Multiply/divide only one side by a non-zero constant

(Choice C)
C
Rewrite one side (or both) by combining like terms

(Choice D)
D
Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No

Answers

X = 4
4+2=6
3x6=18

B = 4 + 2 = 6

The state of Montana is experiencing a warm day after a heavy snowfall. The graph shows the height of snow, h, in centimeters after t hours.

1.) What linear function does the graph represent.

h= 3t = 6
h=3t+18
h=−3t+18
h=−3t+6
The initial value represents which of the following?

The amount of snow melting each hour.

The amount of snow remaining after four hours.

The amount of snow that accumulated the previous night.

Answers

Answer:

1. [tex] h = -3t + 18 [/tex]

2. The amount of snow that accumulated the previous night.

Step-by-step explanation:

1. height of snow = h cm

time = t hrs

To determine the linear function, find the slope (m) of the line, and the y-intercept (b). Then represent the function in slope-intercept form as y = mx + b. Where,

y = h,

x = t

m = slope

b = y-intercept

Find slope (m) using points (6, 0) and (0, 18):

[tex] m = \frac{h_2 - h_1}{t_2 - t_1} = \frac{18 - 0}{0 - 6} = \frac{18}{-6} = -3 [/tex]

m = -3

The y-intercept is where the line intercepts the y-axis = 18

Substitute y = h, x = t, m = -3, and b = 18 into y = mx + b.

Thus, the linear function would be:

[tex] h = -3t + 18 [/tex]

2. The Initial value is the y-intercept, which is 18. In this case, 18 represents the amount of snow in cm, that accumulated the previous night.

4 < 4x- 16
Please answer!

Answers

Answer:

First you need to get your variable(x) by itself.

You do that by adding 16 to both sides of the greater than sign.

The 16 cancels or goes away. and 16 + 4 =20.

Your new equation is 20<4x

Finally you divide 20 by 4 to get 5

Your answer is 5<x or x>5.

Raul can ride his unicycle 2.5 miles in 30 minutes. If he maintains the constant speed, what number of total miles can he travel in 90 minutes.​

Answers

Answer:

Raul would ride 18 miles.

Step-by-step explanation:

60/10 =6

3x6=18

Answer:

18 miles is your answer

trey is selling candy bars to raise money for his basketball team. the team receives $1.25 for each candy . he has already sold 25 candy bars.

Answers

Answer:

He has earned $31.25 for his basketball team.

Step-by-step explanation:

25 * 1.25 = 31.25

Answer:

i promise all the answers are here and explained just scroll

to page 3

An airplane can ascend at a rate of meters in of a second. How many meters can the airplane ascend in one second?
A. 35


B. 52 1/2


C. 78 3/4


D. 39 3/4

Answers

Answer:

78 3/4 I think is the answer

78 3/4 is the answer

What is a ratio equivalent to 3:4 ? 3/4 2/3 4/3

Answers

3/4 is the answer for your question

Answer:

3/4

Step-by-step explanation:

the ratio is kinda like fractions

here are more:

3:5 - 3/5

4:9 - 4/9

whatis the reciprocal of the number. 7/8

Answers

Answer:

8/7

Step-by-step explanation:

reciprocal is just the same number flipped

Answer:

8/7

Step-by-step explanation:

The reciprocal of a fraction is what you multiply with that fraction to get 1. Essentially, you flip the original fraction. The reciprocal of 7/8 is just flipping that to get 8/7. To check, 7/8 * 8/7 = 56/56 = 1

what is the opposite of the opposite of -1.4?​

Answers

Answer:   -1.4

The opposite of -1.4 is 1.4; you flip from negative to positive.

Then taking the opposite of 1.4 gets us back to -1.4 again

Effectively the two opposites cancel out and nothing changes.

Answer:

-1.4

Step-by-step explanation:

because if it says the opposite then

it goes like this

opposite one time = positive 1.4

then do the opposite of a positive = -1.4

5. Choose the correct written expression for: 92 - (84 - 4).​

Answers

Answer:

Well the answer for it would be 12.

But if you wanted it worded as a word sentence sorta then say it as ninety-two minus negative parenthese eighty-four minus 4 parenthese.

Answer:

Give me the written expressions so that I can answer this properly.

Step-by-step explanation:

33. The distance d in miles that a car travels in t
hours at a rate of 58 miles per hour is given by
the equation d = 581. What is the best estimate
of how far a car travels in 7 hours?

Answers

Answer:

406 miles

Step-by-step explanation:

You would simply multiply 7 by 58.

Hope this helps...... Hisoka

Can someone answer this quickly please

Answers

Answer:

3/x

Step-by-step explanation:

it just is

A rectangle has an area of 36 square units and a width of 2 units. What is the unknown length

Answers

Answer:

18

Step-by-step explanation:

The formula for area is a=lw

So to find the length, you would divide the area by the width. So 36 divided by 2 is 18.

The Chiquita Bananas are on sale for $3.72 for 6 pounds of bananas. Miller's Bananas are on sale for $0.64 per pound. Which company has the better deal: ( price per pound)?

Answers

Answer:

millers is cheper instead of 3.72 for 6 pond 0.64 is better because what if some one only wants 1 pond then they only should pay 64 cents

Step-by-step explanation:

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