Let ABC be an isosceles triangle at A. Take point D on side AC, point E on side AB such that AD = AE a) Compare the angles ABD and ACE b) Let I be the intersection of BD and CE. What kind of triangle is ΔIBC? Why ?

Answers

Answer 1

9514 1404 393

Answer:

  a) they are congruent

  b) isosceles; ∠IBC≅∠ICB

Step-by-step explanation:

a) We are given that ΔABC is isosceles, such that AB≅AC. Points D and E are located so that AD≅AE. Of course, ∠A≅∠A, so ΔACE ≅ ΔABD by SAS. Then angles ABD and ACE are congruent by CPCTC.

__

b) Angle IBC is the difference between angle ABC and angle ABD. Angle ICB is the difference between angle ACB and angle ACE. These differences are between values that are the same, so the differences are the same. That means ∠IBC≅∠ICB, and ΔIBC is isosceles.


Related Questions


A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
VX
O(x, y) - (x + 5, y-3)
O(x,y) → (x + 5, y + 3)
(x, y) (x-3, y + 5)
O(x,y) → (X + 3, y + 5)

Answers

Answer:

Step-by-step explanation:

5 units up means y is crease by y =>

y+5

and x unit left means x is decreasedby 3

=> x-3

thus new coordinates are (x-3,y+5)

Thus (x,y) → (x − 3, y + 5) (x, y) is

correct

P.S. have a wonderful weekend!!

how do you simplify this question x^3z^7/x^5z

Answers

Answer:

go to symbolab and it will simplify for you, brainly is useless with these kinds of questions. Symbolab.com very easy to use and gives you answer right away instead of have to wait for some oaf like me to solve your problems.

Step-by-step explanation:

Can anyone help me out? (120)(-0.5) =

Answers

Answer:

-60

Step-by-step explanation:

Calculator.

Chase thought that only 23 people would come to the banquet, but 48 people ended up coming. What was his percent error?

Answers

Answer:

The answer is 52%

ssmoga membantu

How do I solve this

Answers

Answer:

i dont know

Step-by-step explanation:

Find the area of the shaded region.​​

Answers

There are four parts of a circle, so you have to find out the area of the circle:-

10 cm=Radius

[tex]10^{2}[/tex]=100

[tex]\pi[/tex]=3.14

3.14*100=314 [tex]cm^{2}[/tex]

Now, find the area of the square box:-

Since half the side of the square is 10 cm, the total length of one side is 2*10 which is 20 cm.

Area=S*S

=20*20=400 [tex]cm^{2}[/tex]

Now subtract the area of the box from the area of the square:-

400-314= 86 [tex]cm^{2}[/tex]

That is the area of the shaded part.

Happy to help you!

Enter the correct answer in the box.
Linear function is shown in the graph. Write the slope-intercept form of the equation representing this function.
Y
10
8
6-
4
2
-75
-8
-6
X
- 5
-4
O
4
6
8
10
-2-
-4
-6-
N
-84

Answers

Answer:

Slope = 3

y-intercept: - 7

y = 3x -7

Step-by-step explanation:

773 centimeters to meters

Answers

Answer:

7.73

Step-by-step explanation:

A triangle has a perimeter of 75 inches. Find the length of three sides
if one side is 15 inches larger than the smallest side, and the third
side is twice the smallest

Answers

Answer:

The side lengths are:

15, 30, and 30

Step-by-step explanation:

Let x determine the length of the smallest side length then

the other one is said to be 15 in larger so it's x + 15

finally the third size is said to be twice as the smallest one so it's 2x

The perimeter is the sum of all three sides added up

x + 2x + x + 15 = 75 add like terms

4x + 15 = 75 subtract 15 from both sides

4x = 60 divide both sides by 4

x = 15

find x if 8.4% of x is 420. explain with steps

Answers

Step-by-step explanation:

Pls mark brainliest

Plssssssssssssssss

A percentage is a way to describe a part of a whole. The value of x is 5,000.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that 8.4% of x is 420. Therefore, we can write the given statement in the form of an equation as,

8.4% of x = 420

8.4% × x = 420

(8.4/100) × x = 420

x = (420 × 100)/8.4

x = 5,000

Hence, the value of x is 5,000.

Learn more about Percentages here:

https://brainly.com/question/6972121

#SPJ2

Answer with explanation please?​

Answers

136 because the other angle is parallel

Answer:

x=136°

bcs they are parallel and they are congruent

................

Change the denominators into powers of 10 and write the decimal form.
a)
.
[tex] \frac{4}{5} [/tex]


b)
.
[tex] \frac{1}{20} [/tex]

c)
.
[tex] \frac{3}{160} [/tex]


Answers

9514 1404 393

Answer:

  a) 0.8

  b) 0.05

  c) 0.01875

Step-by-step explanation:

The denominator will need to have equal powers of 2 and 5 to be a power of 10.

a) 4/5 = (4/5)(2/2) = 8/10 = 0.8

__

b) 1/20 = 1/(2²·5) = (1/20)(5/5) = 5/100 = 0.05

__

c) 3/160 = 3/(2⁵·5) = (3/160)(625/625) = 1875/10000 = 0.01875

Im so bad at math but i swear im trying my best :( i really tried learning and understanding this but i just can’t , pls pls help me , thank you

Answers

Answer:

angle j=104 degrees

angle m=  127 degrees

Step-by-step explanation:

angle n=53 degrees

angle h=104 degrees

angle m=180-53(angles on a staright line)

angle m=  127 degrees

angle j=104 degrees (vertically opposite angles)

Out of 22 cakes baked today, 11 cakes were baked in the morning. What is the ratio of cakes baked in the morning to total cakes?

Answers

Answer:

1/2

Explanation:

22 ÷ 11 = 2

Exactly half of the cakes were made in the morning

Answer:

11:22

Simplified=

1:2

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! NOT A MULTIPLE CHOICE!!!

In a hotel building, the lobby is located at sea-level. The first floor is located 18 feet above the lobby, and the basement is located 22 feet below the lobby.

a. Write an inequality to compare the elevations of the first floor and the basement.

b. What is the distance from the lobby to the basement? Write your answer as an absolute value statement.

c. Which is a greater distance from the lobby: the first or basement? Justify your response.

Answers

9514 1404 393

Answer:

-22 < 0|-22-0| = 22distance to basement is greater

Step-by-step explanation:

a) If we let B, L, F represent the elevations of the basement, lobby, and first floor, respectively, then we have ...

  B = -22

  L = 0

  F = 18

Your inequality could be either of ...

  B < L

  -22 < 0

__

b. We're not sure exactly the form you're looking for. Use whichever absolute value statement is appropriate to your needs.

  distance = |B -L| = |-22 -0| = |-22| = 22

__

c. The distance from the lobby to the first floor is |18 -0| = 18.

The distance from the lobby to the basement is |-22-0| = 22.

The distance 22 is greater than the distance 18, so the distance to the basement is greater.

_____

Additional comment

The difficulty with this question is not figuring out whether -22 is farther from 0 than is +18. The difficulty is in figuring out the form of the answer that is expected. Without looking at your curriculum materials, we cannot even make an appropriate guess.

2. An electronic watch is sold for Rs 840 at a profit of Rs 90. Find its cost price and the profit per cent.

Answers

Answer:

750 CP AND PROFIT%=12%

Step-by-step explanation:

SP=rs 840

profit=90

CP=SP-profit

=840-90

=750

profit %=profit/CP*100%

=90/750*100%

=12%

linear equation 4x-1=9​

Answers

Answer:

5/2 or 2.5

Step-by-step explanation:

4x-1=9

4x=9+1

4x=10

x=10/4

x=5/2 or 2.5

Answer:

x = 5/2

Step-by-step explanation:

4x - 1 = 9

4x - 1 + 1 = 9 + 1

4x = 10

4x/4 = 10/4

x= 5/2

PLEASE HELP

the question is in the picture above ^^

Answers

Answer: it’s B

Step-by-step explanation:

10% + 20% + 70% divided by 250 milliion

Answers

Answer: 8.16e-10

I think idrk          

Answer:

[tex] \frac{10\% +20\% + 70\% }{250 \: million} \\ \\ \\ \frac{ \frac{10}{100} + \frac{20}{100} + \frac{70}{100} }{250 \times 10 ^{6} } = \frac{ \frac{100}{100} }{250 \times {10}^{6} } \\ \\ \frac{1}{250 \times {10}^{6} } = 4 \times {10}^{ - 9} [/tex]

I hope I helped you^_^

-ek 4 - Assessment - C12000: X --- 2.com/le/content/9122/viewContent/279438/View puma 5 Drive Safely | Dash... BUMA ment e Left:0:23:21 Jennifer Glenn: Attempt 1 Question 19 (2.5 points) In the formula =(G15-G14)*$M$3/4, which mathematical operation is performed first?​

Answers

Answer:

yes

Step-by-step explanation:


Find the coordinates of the point 7/10 of the way from A to B A -3,-7 B 11,4

Answers

9514 1404 393

Answer:

  (6.8, 0.7)

Step-by-step explanation:

That point is ...

  A + (7/10)(B -A)

  = (-3, -7) +(7/10)(11 -(-3), 4 -(-7)) = (-3, -7) +7/10(14, 11)

  = (-3, -7) +(9.8, 7.7) = (6.8, 0.7)

The point 7/10 from A to B is (6.8, 0.7).

Can someone help me solving this differential equation?
Find the general solution of [tex]x^4y''+x^3y'-4x^2y=1 given tha [tex]t y_1=x^2 is a solution of the associated homogeneous equation.

Answers

Use reduction of order. Given a solution [tex]y_1(x) = x^2[/tex], look for a second solution of the form [tex]y_2(x) = y_1(x)v(x)[/tex].

Compute the first two derivatives of [tex]y_2(x)[/tex]:

[tex]y_2 = x^2v \\\\ {y_2}' = x^2v' + 2xv \\\\ {y_2}'' = x^2v''+4xv' + 2v[/tex]

Substitute them into the ODE:

[tex]x^4 (x^2v'' + 4xv' + 2v) + x^3 (x^2v' + 2xv) - 4x^2 (x^2v) = 1 \\\\ x^6v'' + 5x^5v' = 1[/tex]

Now substitute [tex]w(x) = v'(x)[/tex] and you end up with a linear ODE:

[tex]x^6w'+5x^5w=1[/tex]

Multiply through both sides by [tex]\frac1x[/tex] (if you're familiar with the integrating factor method, this is it):

[tex]x^5w'+5x^4w = \dfrac1x[/tex]

Bear in mind that in order to do this, we require [tex]x\neq0[/tex]. Just to avoid having to deal with absolute values later, let's further assume [tex]x>0[/tex].

Notice that the left side is the derivative of a product,

[tex]\left(x^5w\right)' = \dfrac1x[/tex]

Integrate both sides with respect to [tex]x[/tex] :

[tex]x^5w = \displaystyle \int\frac{\mathrm dx}x \\\\ x^5w = \ln(x) + C_1[/tex]

Solve for [tex]w(x)[/tex] :

[tex]w = \dfrac{\ln(x)+C_1}{x^5}[/tex]

Solve for [tex]v(x)[/tex] by integrating both sides:

[tex]v = \displaystyle \int \frac{\ln(x)+C_1}{x^5} \,\mathrm dx[/tex]

Integrate by parts:

[tex]\displaystyle f = \ln(x) + C_1 \implies \mathrm df = \frac{\mathrm dx}x \\\\ \mathrm dg = \frac{\mathrm dx}{x^5} \implies g = -\frac1{4x^4} \\\\ \implies v = -\frac{\ln(x)+C_1}{4x^4} + \frac14 \int \frac{\mathrm dx}{x^5} \\\\ v = -\frac{\ln(x)+C_1}{4x^4} - \frac1{16x^4} + C_2 \\\\ v = -\frac{4\ln(x)+C_1}{16x^4}+C_2[/tex]

Solve for [tex]y_2(x)[/tex] :

[tex]\displaystyle \frac{y_2}{x^2} = -\frac{4\ln(x)+C_1}{16x^4}+C_2 \\\\ y_2 = -\frac{4\ln(x)+C_1}{16x^2} + C_2x^2[/tex]

But since [tex]y_1(x)=x^2[/tex] is already accounted for, the second solution is just

[tex]\displaystyle y_2 = -\frac{4\ln(x)+C_1}{16x^2}[/tex]

Still, the general solution would be

[tex]\displaystyle \boxed{y(x) = -\frac{4\ln(x)+C_1}{16x^2} + C_2x^2}[/tex]

I badly need help with this!!! Pls pls help, thank you

Answers

Answer:

DAC=18(corresponding angles)

EAD= 162 degrees

Step-by-step explanation:

DAC=18(corresponding angles)

EAD=180-18(angles on a straight line)

EAD= 162 degrees

Answer:

Here, we have,

<HBA=18°

<DAC=?

<EAD=?

Now,

i)<DAC=<HBA=18°[being corresponding angle]

ii)<EAD+<DAC=180°[being straight angle]

or, <EAD+18°=180°

or, <EAD=180°-18°

or, <EAD=162°

Thus, <DAC=18° and<EAD=162°.

to divide fractions invert the second fraction and multiply

True
Flase

Answers

Answer:

True

Step-by-step explanation:

Example of dividing fraction:Givens: 1/2 and 3/61/2 ÷ 3/6= 1/2 × 6/3= 6/6= 1

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

What is the relationship between the 6s in 675,002 and 385,621?

Answers

Answer:

6647 is a whole. For you to know the relationship between the 6s in this number write their values. The value of the first 6 is 6000. The value of the second 6 is 600.

Please help i don’t have a lot

A can of tomatoes has a radius of 6 cm and a height of 10 cm. What is the approximate volume of the can?

A:36 cm3
B:60 cm3
C:113 cm3
D:1,130 cm3

Answers

Answer:

D: 1,130 cm³

Step-by-step explanation:

You need the volume of  a cylinder.

V = πr²h

V = 3.14159 * (6 cm)² * 10 cm

V = 3.14159 * 36 cm² * 10 cm

V = 1130.97 cm³

Answer: D: 1,130 cm³

Answer:

The choose D. 1130 cm³

v = r² pi/ h

v = (6)² × 3.14 × 10

v = 1130.4

v = 1130

You roll a six sided die 2 times what is the probability of rolling a 5 then a 2 pls help

Answers

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Yeah, don't know how to explain :/

Sorry for my small handwriting..​

Answers

Answer:

9.067cm

Step-by-step explanation:

x--- amount by which the length is reduced

area=(18-x)(15)=134

(18-x)=134/15

x=18-(134/15)

x= 9.067cm

Factors and rewrite the expression 99x+9​

Answers

Answer:

9(11x+1)

Step-by-step explanation:

99x + 9

The greatest common factor is 9 so put 9 outside of parenthesis

9(11x+9)

Answer:

9(11x+1)

Step-by-step explanation:

We can see that these two values in the equation can be factored by 9 so divide both by 9

99/9= 11

9/9= 1

Rewrite expression by inputting the numbers in parenthesis while keeping the 9 "outside"

9(11x+1)

Fourteen percent of the towns population are above the age of 65. If there are about 320 residents over the age of 65 then what is the towns population.

Answers

Answer:

Step-by-step explanation:

Answer:

About 2286

Step-by-step explanation:

Let x be the number of the towns population.

14% x = 320

[tex]\frac{0.14x}{0.14} =\frac{320}{0.14}[/tex]

x = [tex]2285\frac{5}{7}[/tex]

x is about 2286.

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