Are the base angles of an isosceles triangle always congruent?

Answers

Answer 1

Answer: Yes

Step-by-step explanation:

If you draw the altitude of an isosceles triangle from the vertex angle, then the two triangles formed are congruent, meaning the base angles are congruent  by CPCTC.

Answer 2

Yes, the base angles of an isosceles triangle are congruent because in n isosceles triangle two of its sides are always congruent, and also angles opposite to congruent sides are congruent.

What is the isosceles triangle?

An isosceles triangle is a triangle that has at least two sides of equal length.

When an altitude is drawn to the base of the isosceles triangle, it bisects the vertex angle. As it bisects the base, the two congruent triangles are created.

An isosceles triangle with only two congruent sides, the congruent sides are called legs. The third side is called the base.

The angle opposite the base is called the vertex angle, and the angles opposite the legs are called base angles.

Hence, Yes, the base angles of an isosceles triangle are congruent because in n isosceles triangle two of its sides are always congruent, and also angles opposite to congruent sides are congruent.

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Related Questions

[tex]\left \{ {{x+4y=2} \atop {2x+5y=7}} \right.[/tex]

Answers

I hope I can help you

12) 26 in
17 in

13) 28 ft
20 ft

14) 27 mm
34 mm

Answers

Answer:

#12=442

#13=560

#14=918

Step-by-step explanation:

26x17=442

28x20=560

27x34=918

Answer:

Step-by-step explanation:

I will answer only a few

12.) the area of a triangle is half its base times its height

[tex]\frac{1}{2} *17 * 26[/tex]

= 17 * 13

= 221

13.) 1/2 * 20 * 28

= 10 * 28

=280 cm^2

When the cpi is 185, an electric razor cost $57.81. what is the difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent? a. $33.44 b. $31.25 c. $26.56 d. $6.88

Answers

The difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent is given by: Option D: $6.88

What is consumer price index?

The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.

[tex]CPI_t[/tex] = consumer price index in current period[tex]C_t[/tex] = cost of market basket in current period[tex]C_0[/tex]  = cost of market basket in base period

Then, we have:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100[/tex]

For this case, we're given that:

In 1983, CPI of considered razor = 185, and price = $57.81In some other year, the CPI of considered razor = 207, and price = $ ?? (to find).

Let the base price of the razor in some base period be [tex]C_0[/tex]  

Then, for year 1983, we get:
[tex]CPI_t = \dfrac{C_t}{C_0} \times 100\\\\185= \dfrac{57.81}{C_0} \times 100\\\\C_0 \approx 31.248 \: \text{(in dollars)}[/tex]

Now for the year when CPI is 207, let the price of th razor be $x, then we get:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100\\\\207 \approx \dfrac{x}{31.248} \times 100\\\\x \approx 64.683 \: \text{(in dollars)}[/tex]

The difference between the two prices is:

[tex]d \approx 64.683 - 57.81 = 6.87 \approx 6.88\: \text{(in dollars)}[/tex]

Thus, the difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent is given by: Option D: $6.88

Learn more about consumer price index here:

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Answer:

D

Step-by-step explanation:

25
Which equation best represents the relationship between x and y in the graph?
Y
9
S
2
5
4
3
2
1
-2
3
Ay=-4-3
4
3
BY--x-3
c y = - 8x - 4
D y = - 3X -4
Cy
7X
Dy=-31
*

Answers

Answer:

-3/4 x -3

Step-by-step explanation:

Put all Answer choice on graph:

-3/4 x -3

-4/3 x - 3

-3/4 x -4

Base on the graphs below:

we can see that -3/4 x -3 is the best represents..

~Lenvy~

Help what do I do do i just write y-3x+5 or solve it ​

Answers

Answer:

y=-3x+5

Step-by-step explanation: Yes you have it correct. The question is asking for you to put it into an equation that fits the slope and y-intercept which is slope-intercept form. Additional note, when you have a problem like this and it doesn't say what type of equation form to put it in, put it in slope-intercept form for simplicity's sake.

Answer:

  y = -3x +5

Step-by-step explanation:

In general, do what the question asks you to do: write the equation of the line.

__

The slope and y-intercept of the line are given, so the easiest, most direct way to write the equation is to use "slope-intercept form." That form looks like ...

  y = mx + b . . . . . . where m is the slope, b is the y-inercept

You are given m = -3 and b = 5, so the equation you are asked to write can be ...

  y = -3x +5 . . . . . . this equation is the answer to the question

__

Additional comment

There are many forms of the equation for a line. Another one in common use for problems like this is the "point-slope form." You would use that one for a simple, direct answer to writing an equation for a line with a given slope through a given point.

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

If you are given the x- and y-intercepts, you can use "intercept form" to write the equation:

  x/a +y/b = 1 . . . . . for x-intercept 'a' and y-intercept 'b'

Another useful form is "standard form", which has ...

  ax +by = c . . . . where a > 0, and a, b, c are mutually prime

For example, the equation for your line could be written in standard form as ...

  3x +y = 5

(03.01 MC)
Which equation justifies why 103 = 3/10
1
-1046-10
O
= 10
= 10
dho
°
(103)
(103)-1olia)
0(101) 105)=0
(103)*=106-)-10
=
= 10
=
Previous Question

Answers

Answer:

The choice B

Step-by-step explanation:

[tex]( {10}^{ \frac{1}{3} } )^{3} = {10}^{ \frac{1}{3} \times 3} = {10}^{ \frac{3}{3} } = {10}^{1} = 10[/tex]

i need help on this and a few more i have been busy lately

Answers

Answer:

ok so we have to make it so we can get rid of one of the varibles by adding or subtracting

so lets multiply the first one by 4

120x+16y=4160

minus the second one so

108x=2160

divide by 108

x=20

then we just plug in

12(20)+16y=2000

240+16y=2000

-240

16y=1760

divide by 16

y=110

(20,110)

Hope This Helps!!!

NEED HELP ASAP!!! GIVING BRAINLIEST+30 POINTS FOR FASTEST, BEST ANSWER FOR THESE TWO QUESTIONS!!!!!

Solve nine times two thirds.

Leave your answer as an improper fraction.

eleven twenty sevenths
eighteen twenty sevenths
eleven thirds
eighteen thirds

Answers

eighteen thirds

two thirds refers to : [tex]\sf \sf \dfrac{2}{3}[/tex]

[tex]\sf \rightarrow 9 * \dfrac{2}{3}[/tex]

[tex]\sf \rightarrow \dfrac{9*2}{3}[/tex]

[tex]\sf \rightarrow \dfrac{18}{3}[/tex]     [ also refereed as eighteen thirds ]

Answer:

[tex]6\\six~is~2/3~of~9\\this~can~also~be~looked~at~as\\2 * 3 = 6\\[/tex]

Second problem

[tex]11/27\\18/27\\11/3\\18/3[/tex]

                                          Hope it helps, be great!

   

Jade is going out for pizza with her friend.For 60 dollars how many pizzas can she buy if each pizza costs 12 dollars

Answers

Answer:

jade can by 5 pizzas

if Jade buy pizzas for 60 dollars
60/12=5
he can buy 5 pizzas
p=5

Struggling on this one

Answers

Answer:

x=98

Step-by-step explanation:

Alright, so..

Your first step is to isolate (or make the x be alone), so you will have to get rid of the "8". We do this by doing the opposite thing to it. So since it is subtracting, we will add 8:

-8+8=0
Now what you do to one side of the "=" has to be done to the other:
6+8=14

now, we have the equation:
14=x/7

Simply repeat the step of isolating the x:
This time, we will multiply since it was originally dividing..

x/7(7)=1x/1

1x/1 is the same thing as 1x, which is the same thing as just "x"

Now, do it to the other side:
14(7)=98

Thus we have:
98=x or x=98

this can be checked by substituting the "x" for 98:

6=98/7-8
98/7=14

14-8=6

6=6

which is correct.

Thus, the answer is: x=98

Hope this helps! Brainliest is always appreciated! :)
Have a great day! cx

~Mitsuna

can you guys answer this?​

Answers

An isosceles right triangle has two congruent angles and a right angle

It is true that the base angle of an isosceles right triangle is 45 degrees

How to determine the base angle?

From the question, we understand that:

Triangle type = isosceles right triangle

The sum of angles in a triangle is:

x + y + z = 180

Assume the triangle is right-angled at z.

So, we have;

z = 90

The equation becomes

x + y + 90 = 180

Subtract 90 from both sides

x + y = 90

The triangle is an isosceles triangle.

So, we have: x = y

The equation becomes

x + x = 90

2x = 90

Divide by 2

x = 45

Hence, it is true that the base angle of an isosceles right triangle is 45 degrees

Read more about isosceles right triangle at:

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A student wants to learn how to spell 200 words on a list. The student learned how to spell the first 25 words on the list at a rate of 5 words per day. At this rate, how many days will it take for the student to learn how to spell the remaining words on the list
A. 14
B. 15
C. 35
D. 45

Answers

Rate of change=5Y intercept=b=25

Equation in slope intercept form

y=mx+by=5x+25

Now

5x+25=2005x=175x=175/5x=35

There is a population of 10,000 bacteria in a
colony. If the number of bacteria doubles every
260 hours, what will the population be 780
hours from now?

Answers

Answer:

80,000

Step-by-step explanation:

The population doubles every 260 hours. 260 goes into 780 three times.

10,000x2=20,000

20,000x2=40,000

40,000x2=80,000

Please help me on all of these problems i am confused how they correlate

Answers

Answer:

Step-by-step explanation:

a) Area is multiplied by the square of the scale factor, so it is (3.1)^2 = 9.61 times larger.

b) Same logic, (1/6)^2 = 1/36

c) correct

d) 3

gina wilson unit 8 right triangles&trignometry homework 2 help

Answers

Answer:

huh

Step-by-step explanation:

If A=615.44 ft sq, what is the radius

Answers

I think the radius would be 13.9 ft

Find area of shaded region.

Answers

area of shaded region = 1/4 of the circle area - triangle area

circle area = pi x r² = 3,14 x 2² = 12,56 m²

so 1/4 circle area = 12,56 : 4 = 3,14 cm²

and

triangle area = 1/2 x 2 x 2 = 2 m²

=> area of shaded region = 1,14 cm²

the graph of the money jake earns while babysitting is shown below. put a scale on each axis that makes sense for this situation. explain why chose the scales you did.

Answers

Answer:

Hi uddin

Step-by-step explanation:

Do u remember me


I am the ghost of the uchiha i searched ur this question and found ur brainly thing

The perimeter of a quarter circle is 10. 71 yards. What is the quarter circle's radius?

Use 3. 14 for ​

Answers

Answer:

r = 3 yds

Step-by-step explanation:

The perimeter of a quarter circle is 1/4 of a circumference of the circle AND two straight edges that are the length of the radius. see image.

The circumference is given and using 3.14 for pi, we'll then solve for r. see image.

What is the estimated sum of 709 645 798 704 and 658?

Answers

Answer:

about 3600

Step-by-step explanation:

Find the surface area of the equilateral triangular prism below.

Answers

Answer:

Area of a triangle = bh/2

Area of a rectangle = bh

The area of the triangles are the same, the area of the rectangles are the same.

triangle: 9x8/2

72/2 = 36

Rectangle: 8x14=112

There are 2 triangles and 3 rectangles so,

2(36)+3(112)

72+336= 408 in²

(w+9)+3 write an expression equivalent

Answers

Answer:

[tex]\displaystyle 12 + w[/tex]

Explanation:

Just combine like-terms to arrive at your answer:

[tex]\displaystyle \boxed{12 + w} \Rightarrow [w + 9] + 3[/tex]

I am joyous to assist you at any time.

6 6/9 divided by 1 5/7

Answers

Exact Form:
28/9
Decimal Form:
3.1
Mixed Number Form:
3 1/9

For a project in her Geometry class, Naomi uses a mirror on the ground to measure
the height of her school building. She walks a distance of 12.25 meters from the
school, then places a mirror on flat on the ground, marked with an X at the center.
She then steps 1.7 meters to the other side of the mirror, until she can see the top of
the school clearly marked in the X. Her partner measures the distance from her eyes
to the ground to be 1.15 meters. How tall is the school? Round your answer to the
nearest hundredth of a meter.

Answers

Answer:

8.28

Step-by-step explanation:

we can express this question as

12.25/1.7=x/1.15

this can be simplified to

x=8.28

The height of Naomi's school building is 8.29 meters

Concept of similar triangles:

Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.

In the given question and attached figure we have,

BC = 12.25 metersCD = 1.7 metersDE = 1.15 meters

Now we have to find the height(AB) of the building,

By the properties of similar triangles, we can write,

AB / BC = DE / CD

Putting all the values we get,

AB / 12.25 = 1.15 / 1.7

Simplifying we get,

AB = (1.15 / 1.7) × 12.25

By further simplifying,

AB = 8.29 meters

Therefore, the height of Naomi's school building is 8.29 meters.

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Lucid can walk about 3 4/5 miles each hour. about how far can she walk in 2 hours and 45 minutes

Answers

Answer:

9.31

Step-by-step explanation:

Distance = 3 ⅘ x 2.45

3 ⅘ = 3.8

3.8 x 2.45 = 9.31

Jasmine has four rectangular baking pans. Which of the pans has the greatest volume?


Pan D: 8 in. by 8 in by 2 1/2 in.

Pan A: 9 in. by 16 in by 1 1/2 in.

Pan C: 9 in. by 9 in by 2 in.

Pan B: 9 in. by 13 in by 1 in.

Answers

Answer:

16 11/2

Step-by-step explanation:

ezz

Meteorologists look for weather trends across US states in the same geographical region. Kentucky and Illinois share a border. The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7. The average annual temperatures (°F) from 1991 to 2000 for Illinois were 53.7, 51.9, 50.9, 51.8, 51.4, 49.9, 50.8, 55.0, 53.3, and 52.0. Use the statistics calculator to determine the measures of center for Kentucky.

Kentucky mean =

Kentucky median =

Illinois mean = 52.07

Illinois median = 51.85

Both measures of center for Kentucky are
those of Illinois.

Answers

Answer:

the median is 55.6

Step-by-step explanation:

The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

We have to evaluate the measures of center.

Firstly, we will calculate the mean.

Mean = (Sum of all the observations)/ (Total number of observations)

Mean =  

=

= 55.62

Now, we will calculate mode.

Mode is a statistical term that refers to the most frequently occurring number found in a set of numbers.

Consider the data 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

Mode = 55.6

Now, we will calculate the median.

Firstly, we will arrange in the ascending order.

52.2, 54.4, 54.4,55.1 ,55.6, 55.6, 55.7, 57.3, 57.5, 58.3

Since there are 10 terms.

Median = th observation

Median = 5th observation.

Since, the 5th observation is 55.6.

Therefore, the median is 55.6

16% of 250 is equal to 250% of 16. True or false

Answers

Answer:

True

Step-by-step explanation:

16% of 250

250*16/100 = 40

250% of 16

16*260/100 = 40

Both outcomes are same so the answer is True

Let's check

16% of 250

0.16(250)40

250% of 16

2.5(16)40

Yes true

Please help I will give brainliest.

Answers

Answer:

3 Rd one

Step-by-step explanation:

donee....!!✓give me the branliest

If one side of a square is 12 inches, what is the perimeter and area of the parallelogram?

Answers

Answer:

P = 48in

Step-by-step explanation:

P=4a=4·12=48in

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