The segments shown below could form a triangle.​

Yes, Triangle ΔABC is an isosceles triangle.

The properties of the triangle are:

We can prove that triangle ABC is an isosceles triangle using the fact that BCD is a straight line, and the angles of a triangle add up to 180 degrees.

First, we note that the angles of triangle ABC add up to 180 degrees:

∠ABC + ∠ACB + ∠BAC = 180 degrees

Since ∠ACD and ∠ACB are adjacent angles, we know that:

∠ACD + ∠ACB = 180 degrees

Substituting the value of ∠ACD (117 degrees) into this equation gives:

117 degrees + ∠ACB = 180 degrees

Simplifying, we get:

∠ACB = 63 degrees

Now we can rewrite the equation for the sum of the angles of triangle ABC as:

∠ABC + 63 degrees + ∠BAC = 180 degrees

Substituting the value of ∠ABC (54 degrees) and simplifying, we get:

∠BAC = 63 degrees

Since ∠ABC = ∠BAC, we have shown that triangle ABC is an isosceles triangle.

Reasoning:

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ2

Answer:

1.8

Step-by-step explanation:

Answer:

6 is 30 percent of 20 STEP 1 6 = 30% × Y

STEP 2 6 =  

30

100

× Y

Multiplying both sides by 100 and dividing both sides of the equation by 30 we will arrive at:

STEP 3 Y = 6 ×  

100

30

STEP 4 Y = 6 × 100 ÷ 30

STEP 5 Y = 20

Finally, we have found the value of Y which is 20 and that is our answer.

You can easily calculate a similar type of calculation by using any regular calculator, simply enter 6 × 100 ÷ 30 and you will get your answer which is 20

Step-by-step explanation:

Answer:

you need to add Carla's expression or something for us to answer this question I can try to help if you add it

Step-by-step explanation:

have a good rest of your day tho :) ❤

Answer:

glacier one is moving faster

Step-by-step explanation:

rate at which Glacier 1 is moving:

3.63 / 3  =  1.21 cm per day

rate at which Glacier 2 is moving:

5.75 / 5  =  1.15 cm per day

Answer:

Noah spent 4/8 of his allowance on Monday.

Step-by-step explanation:

Given that Noah spent some of his allowance on Monday, 1/8 of his allowance on Tuesday, 1/8 of it on Wednesday and 2/8 of it on Thursday, and has none of his allowance money left, to determine what fraction of his allowance did he spend on Monday the following calculation must be performed:

8/8 - (1/8 + 1/8 + 2/8) = X

8/8 - 4/8 = X

4/8 = X

Therefore, Noah spent 4/8 of his allowance on Monday.

Answer:

56b + 28f + 28p

Step-by-step explanation:

i think

Answer:

d

Step-by-step explanation:

Answer:

It would be d since its 1/2 and there asking for the whole cake

Answer:

x=0.3

Step-by-step explanation:

divide 8 by both sides to isolate x

8x/8= 2.4/8

2.4/8= 0.3, leaving x by itself, giving us x=0.3

Hope this helps and have a great week!

answer:x = 0.3

Step-by-step explanation:Simplifying

8x = 2.4

Solving

8x = 2.4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '8'.

x = 0.3

Simplifying

x = 0.3

Answer:

24 Blocks

Step-by-step explanation:

Hope this helps

Answer:

24 blocks

Step-by-step explanation:

Hope this helped

Answer:

59049

Step-by-step explanation:

I calculated it and got 59049

Answer:

Step-by-step explanation:

2

the stick number is a knot invariant that intuitively gives the smallest number of straight "sticks" stuck end to end needed to form a knot. Specifically, given any knot K, the stick number of K, denoted by stick (K), is the smallest number of edges of a polygonal path equivalent to K.

Answer:

Null Hypothesis: H₀ : μ < 214 miles

Alternative Hypothesis :H₁: μ> 214 miles

The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance

Null hypothesis is accepted

The average daily travel distance is less than 214 miles

Step-by-step explanation:

Step(i):-

Given that the size of the sample 'n' = 12

The mean of the Population = 214 miles

The mean of the sample   = 198 miles

The standard deviation of the sample = 42 miles

Level of significance = 0.01

Step(ii):-

Null Hypothesis: H₀ : μ < 214 miles

Alternative Hypothesis :H₁: μ> 214 miles

Test statistic

             [tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

             [tex]t = \frac{198 -214}{\frac{42}{\sqrt{12} } }[/tex]

          |t| = |- 1.319| = 1.319

Degrees of freedom   = n-1 = 12 -1 =11

critical value  [tex]t_{(0.005 , 11)} = 3.4966[/tex]

The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance

Null hypothesis is accepted

The average daily travel distance is less than 214 miles

Answer:

0.04

Step-by-step explanation:

We are given that

The probability  that the alumnus did not provide response=5%

The probability  that the alumnus did not provide response=[tex]\frac{5}{100}=0.05[/tex]

The probability that the alumnus would say their experience  fell short of expectations=26%=0.26

The probability that the alumnus would say their experience met expectations=65%=0.65

We have to find the  probability that the alumnus would say their experience surpassed expectations.

We know that

Sum of all probabilities =1

Using the property

The  probability that the alumnus would say their experience surpassed expectations=1-(0.05+0.26+0.65)

The  probability that the alumnus would say their experience surpassed expectation=0.04

Answer:

3 . - 10d - 6

Step-by-step explanation:

-2(6d-1) + 2(d-4)

= - 12d + 2 + 2d - 8

= - 10d - 6

Hope it will help :)❤

Answer:

-203

Step-by-step explanation:

(10−3)×(3−2^5 )

Subtract 3 from 10 to get 7.

7(3−2^5 )

Calculate 2 to the power of 5 and get 32.

7(3−32)

Subtract 32 from 3 to get −29.

7(−29)

Multiply 7 and −29 to get −203.

−203

Answer:

680700

Step-by-step explanation:

this method can calculate more quickly

Answer:

x = -2

Step-by-step explanation:

5x + 2(x - 4) = 5x + x - 10

First, we need to to multiply out the parathesis in the equation:

5x + 2(x - 4) = 5x + x - 10

5x + 2x - 8 = 5x + x - 10

Next, we can combine "like terms" to simplify the equation further:

5x + 2x - 8 = 5x + x - 10

7x - 8 = 6x - 10

Now we can isolate the variable "x" to one side:

7x - 8 = 6x - 10

x - 8 = -10

x = -2

To check our work, we can replace x with -2 in our original equation:

5x + 2(x - 4) = 5x + x - 10

5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10

-10 + 2 (-6) = -10 -2 - 10

-22 = -22

I hope this helps!

-TheBusinessMan

Answer:

Selling price= $6.53

Step-by-step explanation:

Giving the following information:

A bookstore pays $4.50 for a novel. The percent of markup is 45%.

To calculate the selling price, we need to use the following formula:

Selling price= purchase price*(1 + mark up percentage)

Selling price= 4.5*1.45

Selling price= $6.53

Answer:

13a+15b+18 is the answer hope it helps

Answer:

[tex]5(a+3b)+6+8a+12=13a + 15b + 18[/tex]

Step-by-step explanation:

Expanding rules (and rearranging) gives us that

[tex]5(a+3b)+6+8a+12\\= (5a + 15b) + 8a + (6 + 12)\\= (5a + 8a) + (15b) + (18)\\= 13a + 15b + 18[/tex]

Step-by-step explanation:

Factors of 21 are 1, 3, 7 and 21.

a + f + t cannot be 1 or 3 as it cannot be written as a sum of 3 distinct digits, so it is 7.

The smallest 3 remaining digits are 2, 5 and 6 which add to 13.

So there are no solutions.

Answer: 12

Step-by-step explanation:

21 = 21 x1 3x7

=1x3 expand over3= 12

Answer:

1.2

Step-by-step explanation:

[tex]\frac{3x2}{5}[/tex] = [tex]\frac{6}{5}[/tex] = 1.2

Answer: 6/5

Step-by-step explanation:

Answer:

yessss my dear

I hope to help you

Answer:

angle of depression = 59.04 degrees

Step-by-step explanation:

tangent X = 30/50

tangent X = 0.6

x = 30.96 degrees

90-30.96 = 50.04 degrees

Answer:

Step-by-step explanation:

θ = arctan(50/30) ≈ 59°

9514 1404 393

Answer:

  (6, -3)

Step-by-step explanation:

The midpoint of a segment is the average of the end point coordinates.

  F = (C + L)/2

  F = ((0, 0) + (12, -6))/2 = (0+12, 0-6)/2 = (6, -3)

The fire station coordinates are (6, -3).

Answer: D - Mr. Lopez and Mrs. Foster

Step-by-step explanation: Mr. Lopez had 95% of his class show up. Mrs. Foster also had 95% show up, since 19 divided by 20 is .95. Mrs. Kelly had 90% of students in her class

Answer:

A.

Step-by-step explanation:

Answer:

$9.19

Step-by-step explanation:

We are given that

Cost of each ticket=$3

Average profit per ticket=$1

Expect gain for ticket purchaser must be -$1

Let x be the cost of first prize

Probability of first prize=0.15

Probability of second prize=0.30

Probability of third prize=0.45

Cost of second prize=$1.15

Cost of third prize=$0.74

Total probability=0.15+0.30+0.45=0.9

Probability of winning =0.9

Probability of losing=1-0.9=0.1

According to question

[tex]x(0.15)+0.30(1.15)+0.74(0.45)-3(0.1)=-1[/tex]

[tex]0.15x+0.378=-1[/tex]

[tex]0.15x=-1-0.378[/tex]

[tex]0.15x=-1.378[/tex]

[tex]x=-\frac{1.378}{0.15}=-9.19[/tex]

Hence, she spend money on each first prize=$9.19

Answer:

See inside.

Step-by-step explanation:

Just think of 1000 divided by 4. Like that. Choose a rounded number close to the number you are trying to estimate, and solve the rounded number.