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

Answers

Answer 1

Answer:

  45°

Step-by-step explanation:

The acute angles of a right triangle are complementary. The base angles of an isosceles triangle are congruent. If x is the measure of the base angles, this requires ...

  x = 90-x . . . . . the base angle is congruent to the other base angle

  2x = 90 . . . . . add x

  x = 90/2 = 45 . . . . divide by 2

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

__

It can be useful to remember this fact.


Related Questions

A triangle has a base of x1/2 m and a height of x1/2 m. If the area of the triangle is 32 m^2 what are the base and height of the​ triangle?

Answers

Step-by-step explanation:

I am not sure I understand the numbers in the description, but I assume you meant that

the baseline is x/2 meter,

the height to the baseline is also x/2 meter.

the area is 32 m².

the area of a triangle is

baseline × height / 2.

so, here we have

32 = x/2 × x/2 / 2 = x²/4 / 2 = x²/8

x² = 32×8 = 256

x = 16 m

so the base and the height are both 16/2 = 8 m long.

A car is on sale for £3825. The salesman says this is 15% off the original price. Work out the original price.

Answers

15% off means the sale price is 85% of the original price.


Divide the sale price by the percent of original price:


3825/0.85 = 4,500


answer : £4,500

Answer: The answer is 4,500.

Step-by-step explanation: You can divide 3,825 and 0.85.

Help me geometry hurts my brain :(((((

Answers

Answer:x=9.7

Step-by-step explanation:

Geometry hurts my brain too I hope this helps your brain hurt less :)

1.Use SOH-CAH-TOA

2.Figure out which side to use besides x

3. Insert them into format (I used tan)

4.Plug them into calculator

5.And you’ll get x

Picture helps better show what I mean…

Help pls! DUE at 11:30!!!!!!!

Answers

Don’t Know If You Still Need It But Your Answer Is y=2x

The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city. Use a graphing calculator to determine the quadratic regression equation for this data set. X 0 1 2 3 4 5 y 2. 82 3. 29 3. 46 3. 33 2. 88 2. 24 a. Y = negative 0. 143 x squared 0. 595 x 2. 830 c. Y = negative 0. 143 x squared 0. 595 x minus 2. 829 b. Y = 0. 143 x squared 0. 596 x 2. 829 d. Y = 0. 143 x squared minus 0. 595 x 2. 830.

Answers

The quadratic regression equation for this data set is [tex]\rm y=-0.143x^2+0.59x+2.82\\[/tex].

What is the general form of a quadratic equation?

The general form of the quadratic equation is given by;

[tex]\rm ax^2+bx+c=0[/tex]

Where; a, b, and c are the constants.

x;   0       1         2        3          4         5

y;  2.82  3. 29  3. 46  3. 33   2. 88  2. 24

From the table when the value of x = 0 the value of y is 2.82.

Then,

[tex]\rm y=ax^2+bx+c\\\\x=0\\\\2.82=a0^2+b(0)+c\\\\c=2.82[/tex]

From the table when the value of x = 3 the value of y is 3.33.

[tex]\rm y=ax^2+bx+c\\\\x=3\\\\2.82=a(3)^2+b(3)+c\\\\9a+3b+2.82=2.82\\\\9a=-3b\\\\b=-3a\\\\[/tex]

From the table when the value of x = 5 the value of y is 2.24.

[tex]\rm y=ax^2+bx+c\\\\x=3\\\\2.24=a(5)^2+(-3a)(5)+c\\\\25a-15a+2.82=2.24\\\\40a=2.24-2.82\\\\10a=-0.68\\\\a= \dfrac{-0.68}{10}\\\\a=-0.143[/tex]

And the value of b is;

[tex]\rm b=3a\\\\b=3(-0.14)\\\\b=0.59[/tex]

Therefore,

The quadratic regression equation for this data set is;

[tex]\rm y=ax^2+bx+c\\\\y=-0.143x^2+0.59x+2.82\\\\[/tex]

Hence, the quadratic regression equation for this data set is [tex]\rm y=-0.143x^2+0.59x+2.82\\[/tex].

To know more about the Quadratic equation click the link given below.

https://brainly.com/question/14935613

The question is in the picture, please help me!

Answers

Answer:

xy=4 AND

y=7x^4

Step-by-step explanation:

B. xy = 4 is a hyperbola, which is a two-piece curve with an asymptote.

C. y = 7x^4

is a quartic, also a curve.

You can tell the other equations ARE linear, because they have no exponent on the variables. (If you solve the "xy" equation for y, the x ends up on the bottom of a rational expression--not linear)

A scale model of a building 6 inches wide and 14 inches tall. If the original building is 21 feet tall, how wide is the building?

Answers

Answer: The building would be 11 inches wide

Step-by-step explanation:

La gente de que se han dicho no se ha dado el médico de la vuelta a las dos de vuelta de las puertas del

HELP! WILL AWARD BRAINLIEST

Answers

It should be 580. hope that makes sense:)

Help me solve this plz‍♀️

Answers

The correct answer is D

i hope this will help

solve 4 brainliest xx

Answers

C is on the line and D is not on the line.
-1/2(-40)+1=21
-1/2(20)+1≠-11

Fill in the missing number.
75% of what = 6

Answers

Answer:

8

Step-by-step explanation:

75% of x = 6

0.75x = 6

x = 6/0.75

x = 8

Answer: 8

Write an equation with a slope of −4.4 and a y-intercept of 6.8

Answers

[tex]\huge\text{Answer:}[/tex]

[tex]\huge\fbox{y=-4.4x+6.8}\checkmark[/tex]

[tex]\huge\text{Solution:}[/tex]

Hi there!

We are given the slope of the line and its y-intercept.

So, we can easily identify the equation of the line.

The equation of the line is usually written in slope-intercept form.

Slope-Intercept Form looks like this:

[tex]\fbox{y=mx+b}[/tex]

Where m is the slope and b is the y-intercept.

In this case, the slope is -4.4, and the y-intercept is 6.8, so all we need to do is plug in -4.4 instead of m and 6.8 instead of b:

[tex]\longmapsto[/tex][tex]\fbox{y=-4.4x+6.8}[/tex] (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

[tex]\bf{-MistySparkles^**^*[/tex]

If x = 3 and y = 27, evaluate the following expression:
х/y

Give your answer as a fraction in its simplest form.

Answers

Step-by-step explanation:

given expression → x/y

we know,

x = 3 and y = 27

according to expression

3/27 → 1/9

therefore 1/9 is the answer.

Hope this answer helps you!

Answer:

1/9

Step-by-step explanation:

1. First, let's plug in the values of x and y.

[tex]\frac{x}{y}[/tex] [tex]\frac{3}{27}[/tex]

2. Next, we have to simplify and find the greatest common factor between 3 and 27.

Factors of 3: 1, 3Factors of 27: 1, 3, 9, 27

3. As you can see, 3 is the GCF of 3 and 27, so we divide both 3 and 27 by 3.

[tex]\frac{3/3}{27/3}[/tex] [tex]\frac{1}{9}[/tex]

Therefore, the answer is 1/9!

Have a lovely rest of your day/night, and good luck with your assignments! ♡

how to calculate the sample size given the confidence level and proportion

Answers

Animagine cheatting on test

PLEASE HELP ASAP!! will mark brainlest

Answers

Step-by-step explanation:

1/2 × height × base

1/2 × 6.3 × 8

6.3 × 4 = 25.2 ans.

therefore, area of the ∆ is 25.2 ft ².

A spinner for a board game consists of a cardboard circle with two plastic arrows anchored to its center. The arrows are congruent isosceles triangles connected at their bases, as shown. 2 isosceles triangles are connected at their bases. The length of the base is 2 centimeters. The total perimeter of each triangle is 10 centimeters. Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot The base of each triangle measures 2 centimeters and the perimeter of each triangle is 10 centimeters. What is the approximate total area of the plastic triangles on the spinner? 3. 9 square centimeters 6. 7 square centimeters 7. 7 square centimeters 13. 4 square centimeters.

Answers

A triangle is isosceles triangle when the two sides and two angle of the triangle in equal in measure.

The approximate total area of the plastic triangles on the spinner is 7.7 squared centimetre.

What is isosceles triangle?

A triangle is isosceles triangle when the two sides and two angle of the triangle in equal in measure.

The area of the isosceles triangle is given as,

[tex]A=\dfrac{1}{2}\times b\times \sqrt{a^2-\dfrac{b^2}{4} }[/tex]

Here, [tex]a[/tex] is the measure of equal sides and [tex]b[/tex] is the measure of third side.

Given information-

The arrows of board game are congruent isosceles triangles connected at their bases.

isosceles triangles are connected at their bases.

The base of each triangle measures 2 centimetres

The perimeter of each triangle is 10 centimetres.

The perimeter of a triangle is sum of all its sides.

As the given triangle is isosceles triangle. Thus both the sides of the triangle should be equal.

Suppose the equal sides is x centimetres. The measure of third side is given which is equal to 2 centimetres. Thus,

[tex]x+x+2=10\\2x=10-2\\2x=8\\x=\dfrac{8}{2} \\x=4[/tex]

Hence the length of the equal sides of the isosceles triangle is 4 cm.

Using the above formula as,

[tex]A=\dfrac{1}{2}\times b\times \sqrt{a^2-\dfrac{b^2}{4} }\\A=\dfrac{1}{2}\times 2\times \sqrt{4^2-\dfrac{2^2}{4} }\\A= \sqrt{16-\dfrac{4}{4} }\\A=3.871[/tex]

Hence the area of one plastic arrow triangle is 3.71 square centimetre. The approximate total area of the plastic triangles on the spinner is twice of it. Thus,

[tex]A=3.71\times2\\A=7.7[/tex]

Thus the approximate total area of the plastic triangles on the spinner is 7.7 squared centimetre.

Learn more about the isosceles triangle here;

https://brainly.com/question/1475130

Answer:

The correct answer would be option C. 7.7 square centimeters

Step-by-step explanation:

Just got it right on edge. :)

Hope this helps!

Brainliest would be greatly appreciated :D

Help please. The problem is “What is 0.003 to the 5th power?”

Answers

Answer:

0.0000000243

Step-by-step explanation:

U raise the base to the x power.

0.03 to the 5th power.

Answer:

0.0000000243

Step-by-step explanation:

0.03 x 0.03 x 0.03 x 0.03 x 0.03 = 0.0000000243

Find the slope of the line graphed

Answers

Answer:

slope = [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = [tex]\frac{4-1}{3-(-4)}[/tex] = [tex]\frac{3}{3+4}[/tex] = [tex]\frac{3}{7}[/tex]

Find the value of x

Answers

Answer:

47

Step-by-step explanation:

Pretty sure it equals 360 degress overall so 360 -313 = ^^^^^^^^^^^^

I need help on this question for math please!

Answers

Answer:

no

Step-by-step explanation:

using the values of the ordered pair in the first equating we get :

2 = 3×5 - 13 = 15 - 13 = 2

that fits.

but when using them in the second equation we get :

4×5 - 3×2 = 17

20 - 6 = 17

14 = 17

and that is wrong.

that means the point (5, 2) is not on the second line, so the point cannot be the crossing point (= solution, where both equations deliver the same result) of both lines.

FYI

we would solve the system by using the first equality directly in the second equation :

4x - 3(3x - 13) = 17

4x - 9x + 39 = 17

-5x = - 22

5x = 22

x = 22/5 = 4.4

and y is then

y = 3×4.4 - 13 = 13.2 - 13 = 0.2

the actual solution of the system is therefore

(4.4, 0.2)

1. How many square cm are in 1 square m?

Same with 1m^3

Answers

Answer:

10,000 cm² in 1 m²

1,000,000 cm³ in 1 m³

Step-by-step explanation:

There are 100 cm in 1 m

Therefore, to find how many square cms are in 1 square meter, we need to square 100:  100² = 100 x 100 = 10,000

Therefore, there are 10,000 cm² in 1 m²

Therefore, to find how many cubic cms are in 1 square meter, we need to cube 100:  100³ = 100 x 100 x 100 = 1,000,000

Therefore, there are 1,000,000 cm³ in 1 m³

Answer:

1m^2 = 10,000cm^2 (10 thousand square centimeters)

1m^3 = 1,000,000cm^3 (1 million cubic centimeters)

Step-by-step explanation:

x^2 is the same as x × x

There are 100 sm in a meter, so in this case x = 100

100^2 = 100 × 100 = 10,000

x^3 is the same as x × x × x

100^3 = 100 × 100 × 100 = 1,000,000

just checking is the answer to this question m<5 = 89 degrees?? 10 points

Answers

Answer:

Pretty sure it is.

What is the distance between A and B? Round your answer to the nearest hundredth. (4 points)

A. 9.58
B. 10.63
C. 11.56
D. 12.29

Answers

Answer:

A

Step-by-step explanation:

count the half boxes to the answer

Write a Linear Equation that passes through the given two points.
CORRECT ANSWER GETS BRAINLIEST AND THE POINTS!

(3,4) and (0,5)

Answers

5-4 / 0-3. its written as a fraction fyi

Answer: 3.4 and 0.5

Step-by-step explanation:

3,4                                   0,5

17/5 =  3 2/5 =3.4 and  1/2 = 0.5

Write two equivalent ratios.

Answers

Answer:

4 : [8]

[12]

5: [10]

[15]

Hope this helps

Is 60.43 an irrational number

Answers

Answer:

No, It is rational

Step-by-step explanation:

An number with a finite number of decimal point/numbers can be rational unlike numbers that repeat on forever like the number pi

do the ratios 3/4 and 6/8 form a proportion

Answers

Answer:

Yes

Step-by-step explanation:

A proportion is an equation with a ratio on each side. And when you reduce 6/8 to the lowest form, it is 3/4

Find the value of x and y

Answers

Answer:

3√15

Step-by-step explanation:

x=y

x^2+x^2 = 9*30

2x^2 = 270

x^2 = 9*15

x = y = 3√15


Solve System Of Equation
−4x+11y=15
x=2y

x=
y=

Answers

Answer:

y=5 x=110

Step-by-step explanation:

Answer:

x = 10 , y = 5

Step-by-step explanation:

It is given that x = 2y. Plug in 2y for x in the first equation, and then solve for the variable, y:

-4x  + 11y = 15

x = 2y

-4(2y) + 11y = 15

First, multiply, then combine like terms:

(-4 * 2y) + 11y = 15

(-8y) + 11y = 15

11y - 8y = 15

3y = 15

Isolate the variable, y. Divide 3 from both sides of the equations:

(3y)/3 = (15)/3

y = 15/3 = 5

Plug in 5 for y in one of the equations to solve for x:

x = 2y

x = 2(5)

x = 10

x = 10 , y = 5

~

I need help with math please help me!​

Answers

Answer:

9.55 cm

Step-by-step explanation:

The circumference is also called the perimeter, which is the length of the outline of any shape.

So,

[tex]Perimeter = \pi *diameter\\30 cm = \pi * d\\\\d = \frac{30}{\pi} cm\\\\d=9.54929658551\:cm\\d=9.55\:cm[/tex]

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