Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support your answer.

Answers

Answer 1

This is a 45-45-90 triangle. The side facing the 90 degree angle would be the a square root 2. The sides facing the 45 degree angles would be a. 2 square root 2 is facing a 45 degree angle, so that means the side facing the 90 degree angle would be 2 square root 2 x square root 2 which is 4. Basically:
a = 4
b = 2 square root 2

Related Questions

If two angles are vertical and one of the angles measures 65 degrees, what is the measurement of the other angle?

Answers

Answer:

65 degrees, because vertical angles are always congruent.

Step-by-step explanation:

Please help me

Please, I beg you.

Answers

Answer:

a reflection followed by a translation

Step-by-step explanation:

attach a link if needed<3

Answers

Juice: Different

Burritos: Same

Soup: Same

Peanut Butter: Different

At middle school lunch in the cafeteria, 60% of the students pack a lunch and 40% buy a lunch. Of the students who pack a lunch, 70% have a cookie. What is the percent of the students who have a cookie at lunch?

Answers

Answer:

42%

Step-by-step explanation:

The computation of the percentage is shown below:

Here we assume that there are 100 students

So according to the question

60% of the students would pack the lunch i.e. 60 students

And, 40% of the students buy a lunch i.e. 40 students

Now the students who pack the lunch they have 70% of cookie

So, 70% of 60 students = 42 students

Now the percentage is

= 42 students ÷ 100 students

= 42%

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

[tex]x = 25[/tex]

Step-by-step explanation:

The angles are vertical since they form from two lines crossing at a point and they share a same vertex.

Vertical angles are equal so

[tex]4x - 25 = 75[/tex]

[tex]4x = 100[/tex]

[tex]x = 25[/tex]

(NO LINKS OR ELSE YOU WILL BE REPORTED)
Part A
What is the value of x?
Show your work.
Part B
Describe two different ways you could find measure of angle CFD. What is the measure of this angle?

Answers

Answer:

Step-by-step explanation:

Part A

Since, all angle formed at point F lie on a straight line CE.

Therefore, sum of angles ∠AFE, ∠AFB, ∠CFB will be 180°.

(7x + 4) + (8x + 6) + (6x + 2) = 180

21x + 12 = 180

21x = 168

x = 8

Part B

Two lines CD and AE intersect each other at point F.

Therefore, ∠AFE ≅ ∠DFC [Vertically opposite angles]

m∠CFD = (7x + 4)°

= 7(8) + 4

= 60°

Since, all angles formed at point F on a straight line AD are linear angles,

m∠AFB + m∠CFB + m∠CFD = 180°

(8x + 6) + (6x + 2) + m∠CFD = 180°

14x + 8 + m∠CFD = 180

m∠CFD = 172 - 14x

= 172 - 14(8)

= 172 - 112

= 60°

What's the x plz help

Answers

Answer:

The answer for x is ten

Ms. Morrison is purchasing a house and needs to finance a $150,000 mortgage from
the bank with an annual percentage rate (APR) of 3.8%. She is financing it over 30
years and making monthly payments. What is the monthly payment?

Answers

ms. morrison would have to pay $698.94 monthly for the next 30 years

im not sure if its too small or not

Answers

Answer:

area of ring shape =

[tex](\pi \times 6 \times 6) - (\pi \times 4 \times 4)[/tex]

[tex]36\pi - 16\pi[/tex]

[tex]20\pi[/tex] square inches

in 2010. 465 students went to a certain school. In 2014, 372 students went to the same school. By what percent did the number of students decrease?

Answers

Answer:

20%

Step-by-step explanation:

465 - 372 = 93

93/465 = 0.2

0.2 × 100 = 20

Hope this helps !

Which of the following is the solution (x,y) of the system of equations x-2y = 2 and -x+2y = 2

Answers

Answer:

Step-by-step explanation:

x-2y = 2

-x+2y = 2

set 1st eq. equal to 2nd equation since they both equal 2

x -2y = -x + 2y

2x = 4y

x = 2y

1/2x = y

(x, 1/2x ) :P

jackson is paid $250.for 5
days of Work how much IS
he paid per day

Answers

$50 per day.
First you divide 250 dollars by 5 then you will get 50 dollars

If f(x) = 4x - 6, what is f(6)?
A. 32
B. 3
o
C. 4
O D. 18

Answers

Answer:

18 is the correct answer

Step-by-step explanation:

to find f(6) you only need to put value 6 in place x and then simple addotion subtraction

f(6)=4(6)-6

f(6)=24-6

f(6)=18

Plz help
The point of intersection of two function is also called the

A. Center
B. Equation
C. Vertex
D. Solution

Answers

Answer:

Step-by-step explanation: Vertex Equatiation Por mxa Plus B = X gtex Lp Cneter to 16u8 Killomtrss to ball

After winning a soccer game, the coach took the team out for ice cream cones. He spent $21 on 12 single-scoop ice cream cones. If all the ice cream cones cost the same amount, what was the cost of one ice cream cone?

Answers

Answer:

Unitary cost= $1.75

Step-by-step explanation:

Giving the following information:

He spent $21 on 12 single-scoop ice cream cones.

To calculate the unitary cost, we need to use the following formula:

Total cost= number of units*unitary cost

Unitary cost= total cost / number of units

Unitary cost= 21 / 12

Unitary cost= $1.75

If I have the letter x after a number, what does it mean?

Ex. 20x = 5

Answers

Answer:

It means that 20 times x is 5

also the answer to that problem (20x=5) is 1/4

Step-by-step explanation:

20x means

20 * x

and since 20 * x = 5

divide 5 and 20

5/20 = 1/4

The diameter of a circle is 4 millimeters. What is the circle's circumference?

Answers

Answer:

4pi millimeters.

Assuming pi = 3.14159, we can approximate the diameter to be 12.56636mm

Step-by-step explanation:

To get the circumference of a circle, just multiply the diameter by pi

Answer:

C=0.125m

Step-by-step explanation:

C = 2[tex]\pi[/tex]r= (2r)[tex]\pi[/tex] = d[tex]\pi[/tex] = 0.004·[tex]\pi[/tex] = 0.125m

HELP ME PLEASEEEEEEE I WILL GIVE BRAINLIEST PLZ HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Answers

Answer:

pretty simple, you should get 1824

Step-by-step explanation:

first find area of square, you should get 1536 in^2. Then triangle, the formula is base times height divided by 2. lmk if you need more help

48. A wire is securely attached from the top of
a 26-foot pole to a stake on the ground
14 feet from the base of the pole. Find the
length of the wire to the nearest tenth of a
foot.
A. 21.9 feet
B. 24.3 feet
C. 28.7 feet
D. 29.5 feet

Answers

Answer:

D. 29.5 feet

Step-by-step explanation:

1) First you use the pythagorean theorem a^2+b^2=c^2

2) 26^2+14^2=c^2 The wire is the hypotenuse.

3) Simplify the equation. 676+196=c

4) 872=c

5) Find the square root of 872 and round to the nearest tenth.

6) Your answer is 29.5 feet.

Hope this helps!

Given h(x)=4x-4h(x)=4x−4, find h(-3)h(−3).

Answers

Answer:1

Step-by-step explanation:

4x-4x+4=4h(x)

4=4h(x)

h(x)=1

h(-3)h(-3)=(1)(1)=1

At 7am there was 4 inches of snow on the ground. After that, the snow fell at a rate of 1.5 inches per hour. Equation:

Answers

Answer:

y(t) = 4 + 1.5t

Step-by-step explanation:

Initial amount of snow = 4 inches

Fall rate of snow = 1.5 inch per hour

Equation to model the scenario goes thus :

Initial amount of snow + (fall rate of snow * number of hours)

Let the number of hours = h

4 inches + (1.5 inch per hour * h)

Equation, y(t) becomes ;

y(t) = 4 + 1.5t

factorise it
[tex]v[/tex]

Answers

Answer:

2(x – ½)(x + ½)

Step-by-step explanation:

2x² – ½

The above expression can be factorised as follow:

2x² – ½

2 is common to both 2 and ½. Thus,

2x² – ½ = 2[x² – ¼]

Recall

(½)² = ¼

Thus,

2[x² – ¼] = 2[x² – (½)²]

Difference of two squares

2(x – ½)(x + ½)

Therefore,

2x² – ½ = 2(x – ½)(x + ½)

PLSSSSS HELPPPPPP MEH ;^;

What is the lateral surface area of the triangular prism?

Answers

Answer:

I think it's 56.4

Step-by-step explanation:

if not I'm sorry

HELP ME PLEASE AND PLEASE ATTACH THE ANSWER BELOW (NO LINKS!!)

Answers

Answer:

Step-by-step explanation:

Answer:

1885

Step-by-step explanation:

Volume = Base x Height

GIVING BRAINLIEST!!!!!!

In which step does a mistake first occur? (24+3+10)-14+2
Step1: (8+10)-14+2
Step 2: 18-14+2
Step3: 4+2
Step 4: 2

Answers

A mistake first occurs in step 1. (24+3+10) is not equal to (8+10). It is equal to (27+10).

?? I need a step by step explanation, please

Answers

Answer:

( 4 , − 1 )

Step-by-step explanation:

y= (x + 3)(x + 5)

y= x^2 + 5x + 3x + 15

y= x^2 + 8x +15

PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR

Answers

Answer:

1. 3k=150

2. 50

Comert
3T=_b
3 tons is equal to
pounds.

Answers

Answer:

i think 3 tons equal 6000 pounds

A brick of lead weighs 6,328 grams and has the following dimensions: length of 20 cm, height
of 8 crn, and width of 35 mm. What is the approximate density of the lead? Round to the
nearest tenth

Answers

Answer:

11.3

Step-by-step explanation:

Volume: L * W * H

L = 20

W = 8

H = 35 mm = 35/10 = 3.5 cm

V = 20 * 8 * 3.5

V = 560 cm^3

Density = m/v

Density = 6328 / 560

Density = 11.3

The difference of 1 and twice a number is at most one third the
number(Which of the following models this description?
A. 21 – 2x<_ 1/3x
B. 21 – 2x = 1/3x
C. 21 – 2x >_ 1/3x
D. 21 – 2x < 1/3x

Answers

Answer:

Step-by-step explanation:?

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