Mathematics College

If AABC = ADEC,
ZB = 48° and ZE = x + 4

If AABC = ADEC,ZB = 48 And ZE = X + 4

Answers

Answer 1

Answer:

[tex]x = 44^\circ[/tex]

Step-by-step explanation:

Triangle Congruence

Given triangle ABC is congruent to triangle DEC, then it's true that angle ABC is congruent to angle DEC.

The figure shows that:

[tex]m\angle B = 48^\circ[/tex]

[tex]m\angle E = x + 4^\circ[/tex]

Those angles are congruent, or have the same measure, thus:

[tex]x + 4^\circ = 48^\circ[/tex]

Subtracting 4°:

[tex]x = 48^\circ - 4^\circ[/tex]

[tex]\mathbf{x = 44^\circ}[/tex]

Related Questions

Jose D is looking for a skateboard. He sees one that costs $148. The owner is offering him a 20% discount.. What is the price of the skateboard after the discount and a 7% sales tax?

Answers

Answer:

110.112

Step-by-step explanation:

What is the slope of the line that passes through the points (3,5) and (4,8)?

Answers

Answer:

1,3

Step-by-step explanation:

solve equation for Y. 23=5x-2y

Answers

Answer:

y=5/2x-23/2 or y=2.5x-11.5

Step-by-step explanation:

First, add 2y to move it to the other side of the equation. This should give you 2y+23=5x. Now, subtract 23, giving you 2y=5x-23. Divide the whole equation by 2 so that y will be by itself. Written in fraction form, it would be: y=5/2x-23/2. Written in decimal form: y=2.5x-11.5.

Can someone help me with this

Answers

Answer:

1. isosceles 2. Scalene 3. Equilateral 4. Equilateral

Step-by-step explanation:

Need help on question 1,2 please please help please please help me please will mark the brainiest it’s due today please please help

Answers

For the top on you just multiple

Answers:

1. 750

2. 750 + 5*20 = 850

Write each of the following numbers as a power with an exponent to the base 2:16

Answers

Given:

The number is 16.

To find:

The given number as a power with an exponent to the base 2.

Solution:

First write the given number as the product of the prime factors.

The factor form of 16 is

[tex]16=2\times 2\times 2\times 2[/tex]

[tex]16=2^4[/tex]

Therefore, the given number 16 as a power with an exponent to the base 2 is [tex]2^4[/tex].

Answer:

2^4

Step-by-step explanation:

what is the answer to 2/3 - 4/6

Answers

Answer:

0

Step-by-step explanation:

2/3*2/2=4/6. 4/6-4/6=0

Identify the equation in slope-intercept form for the line with the given slope that contains the given point.

Slope =3/4; (2,2)

Answers

y=3/4x+1/2

Use the equation y=mx+b and plug in the coordinates and the slope into the equation.

2=3/4(2)+b

You need to find the b (y-intercept).

2=3/2+b
1/2=b

Now that you know the slope and the y-intercept the equation is y=3/4x+1/2

What is the answer for 2/5x5/8 ?

Answers

It would be 1/4 because you would change them to a common denominator then simply them and you get 1/4

4n-(7-6n)


Helppp plz

Answers

4n - (7-6n)
4n -7 +6n (multiply minus to 7-6n)
10n -7 is the answer

how many 1/4 cup servings are there in 3/8 cup peanut butter?

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

1.5 i think

Step-by-step explanation:

1/4:2/8 so it would be 1/4 and 1/8 or 1.5

A rose bush was 2 feet tall when Candace planted it. The rose bush
grew 1 (1/4) feet per year. The rose bush is now 8 (1/4) feet tall.

Answers

Answer:

5 years

Step-by-step explanation:

Alr. The equation is:

x= how long the rose bush took to grow

8 1/4=2+1 1/4x

6 1/4=1 1/4x

5=x

A store has 5 travel guide books and 9 fictions on the shelves. If two customers bought a book, find the probability that one of each book was bought.

Answers

Answer:

[tex]Probability = \frac{45}{98}[/tex]

Step-by-step explanation:

Given

Represent travel guide with T and Fictions with F

[tex]T = 5[/tex]

[tex]F = 9[/tex]

Required

Determine the probability that one of both was selected

This implies that (1 travel guide and 1 fiction) or (1 fiction and 1 travel guide)

The probability is is calculated as thus:

[tex]Probability = P(T\ n\ F)\ or\ P(F\ n\ T)[/tex]

In probability, the above formula can be translated to

[tex]Probability = P(T) *P(F)\ +\ P(F) *P(T)[/tex]

[tex]Probability = \frac{n(T)}{Total} *\frac{n(F)}{Total}\ +\ \frac{n(F)}{Total} *\frac{n(T)}{Total}[/tex]

[tex]Probability = \frac{5}{5 + 9} *\frac{9}{5 + 9} +\frac{9}{5 + 9} *\frac{5}{5 + 9}[/tex]

[tex]Probability = \frac{5}{14} *\frac{9}{14} +\frac{9}{14} *\frac{5}{14}[/tex]

[tex]Probability = \frac{45}{196} +\frac{45}{196}[/tex]

[tex]Probability = \frac{90}{196}[/tex]

[tex]Probability = \frac{45}{98}[/tex]

The marked price of a sweater at the clothing store was $24.
During a sale, a discount of 25% was given. A further 15%
discount was given to the customers who have the store's
credit card. How much would a member customer need to
pay for the sweater during the sale if the customer paid with
the store's credit card? Round your answer to the nearest
cent.
Enter the answer

Answers

24 x 0.75 = 18
18 x 0.85 = 15.3
Answer: Someone with the store's credit card would need to pay $15.30

You are competing in a race. The table shows the times from last year's race. You want your time to be last year's median time with an absolute deviation of at most 4 minutes. Complete the inequality to represent the time (in minutes) you hope to achieve.

Answers

Answer:28 ≤ x ≤40

Step-by-step explanation:Arrange the data from the smallest to the largest

26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48

Identify the median value

26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48

Getting the median

(33+35)/2 = 68/2 = 34 minutes

You want your time to be last year's median time with an absolute deviation of at most 6 minutes

This mean ±6 minutes, hence this will be 34 ± 6

34+6=40 and 34-6=28

The inequality will be 28 ≤ x ≤40

6 / 3/5 ITS FOR A 20 PIONT

Answers

Answer:

10

Step-by-step explanation:

I'm guessing you meant this, but tell me if I'm wrong and I'll fix it

6 / (3/5)

6 * 5/3

30/3

=10

Hope it helped!

Answer:

thanks

Step-by-step explanation:

Grant walks 2 miles everyday. Which could not be the number of miles that Grant has walked after some number of days? Circle the letter of the correct answer.

Answers

He walk 4 miles a day

Consider generating length-7 strings of lowercase letters. How many strings are there that either begin with 2 consonants or end with 3 vowels

Answers

Answer:

5259544316

Step-by-step explanation:

Given that:

Length of string = 7

Either begins with 2 consonants or ends with 2 vowels :

Either or :

A U B = A + B - (AnB)

Number of vowels in alphabet = 5

Number of consonants = 21

2 consonants at beginning :

First 2 consonants, then the rest could be any:

21 * 21 * 26 * 26 * 26 * 26 * 26 = 5239686816

3 vowels at the end :

First 4 letters could be any alphabet ; last 3 should be vowels.:

26 * 26 * 26 * 26 * 5 * 5 * 5 = 57122000

2 consonants at beginning and 3 vowels at the end :

21 * 21 * 26 *26 *5* 5 * 5 = 37264500

Hence,

2 consonants at beginning + 3 vowels at end 2 consonants at beginning - 2 consonants at beginning and 3 vowels At end

(5239686816 + 57122000) - 37264500

= 5259544316

Hence, number of 7 alphabet strings that begins with 2 consonants and end with 3 vowels = 5259544316

In a recent year, grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed.



A random sample of 60 students is drawn from this population. What is the probability that the mean test score is greater than 290? Leave answers in decimal form, not percentages. Round to the nearest Hundredth (two decimal places).

Answers

Answer:

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = 0.0217

Step-by-step explanation:

Step(i):-

Mean of the Population (μ) = 281

Standard deviation of the Population = 34.4

Let 'X' be a random variable in Normal distribution

Given X = 290

[tex]Z = \frac{x -mean}{\frac{S.D}{\sqrt{n} } } = \frac{290-281}{4.44} = 2.027[/tex]

Step(ii):-

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = P( Z > 2.027)

                    = 0.5 - A ( 2.027)

                   = 0.5 - 0.4783

                   = 0.0217

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = 0.0217

a cyclist travels 14 hours in per hour. what is the cyclists speed in feet/ minute. 1 mile= 5280 feet

Answers

Answer:

1,232 ft/min (feet per minute)

Step-by-step explanation:

14 miles = 73,920 feet

1 hour = 60 minutes

73, 920 / 60 = 1,232 feet/minute

I need some help please

my answer is the one below but I'm not sure pls give work

Answers

C is the right answer

Glen got 48 out of 64 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form.

Answers

Answer:

He got 16 incorrect

Step-by-step explanation:

Answer:

fraction: 3/4

percent: 75%

Step-by-step explanation:

Ffind an equation for the tangent to the curve at the given point. Then sketch the curve and the tangent together.

y=8 âx,(1,8)

Answers

Answer:

y = 4x + 4

Step-by-step explanation:

given :

y = 8 [tex]\sqrt{x}[/tex] , (1,8)

The equation for the tangent to the curve at the given point

y' = 8. ( [tex]( \frac{1}{2\sqrt{x} } ) = \frac{4}{\sqrt{x} }[/tex]

next calculate the slope of the tangent (m) = y' at x = 1 = 4

hence the equation of the tangent is

 y - y' = m( x - x1 )

 y - 8 = 4 ( x - 1 )

 y = 4x + 4

attached below is the sketch of the curve and the tangent together

A company order two types of games, board and electronic. A shipment
containing 4 board games and 5 electronic games costs $103. A second
shipment containing 5 board games and 3 electronic games costs $80. Find the
cost of the board games and the cost of the electronic games.

Answers

Answer:

C

Step-by-step explanation:

i lied :)

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Jonah’s family is ordering dinner. Each adult meal costs $8.50, each kid meal costs $6.75, and each drink costs $1.75. There are a adults and k kids in the family. If everyone orders a meal and a drink, which expression can be used to express the total cost of the meal?

Answers

Answer:

one expression you could use could be, 10.25A +8.50K=total

Step-by-step explanation:

you would take 1.75 and add it to the 8.50 for the adults and 6.75 for the kids

Answer:

$8.50a+$6.75k+$1.75a+$1.75k

Step-by-step explanation:

All of the following ordered pairs satisfy the function rule y = -2 x - 1 except _____.

(2, -5)
(-1, -3)
(-2, 3)
(0, -1)

Answers

Answer:

(-1, -3)

Step-by-step explanation:


What is the slope of the line that passes through the points (-8, 6) and (-5, -3)

Answers

Answer: slope is -3

Step-by-step explanation:

Simple, plain, easy

Solve the problem. Sven can type 57 words per minute. How many words would he type in hour (40 minutes)? 2280 words 86 words 38 words 1520 words

Answers

Answer:

Sven would type 2280 words every 40 minutes.

Step-by-step explanation:

Multiply 57 by 40 and that should get you 2280.

Now, if it was truly an hour, you would multiply 57 by 60. The answer should be 3420.

Paul opened a bakery. The net value of the bakery
(in thousands of dollars) t months after its creation is
modeled by
v(t) = 24
12t - 14
Paul wants to know what his bakery's lowest net
value will be
Rewrite the function in a different form
(factored or vertex) where the answer appears
as a number in the equation.

Answers

Answer: v(t)= 2(t-3)^2-32

-32 thousand dollars

Step-by-step explanation:

Did the quiz

Answer:

the first one is correct

Step-by-step explanation:

What is the standard form of this number?

(8 × 0.1) + (5 × 0.01) + (1 × 0.001) =

Answers

Answer:

0.851

Step-by-step explanation:

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