the base of a triangle is x cm and its height is (x-7) Write down the expression of the triangle

Answer:

34, 35, 36

Step-by-step explanation:

1st number = x

2nd number = x+1

3rd number = x+2

So the equation would be:

x+2(x+1)+(x+2)-7=133

x+2x+2+x+2-7=133

4x-3=133

4x=136

x=34

      Three consecutive numbers justifying the condition given in the statement will be 34, 35, 36.

Let three consecutive number are,

n, (n + 1), (n + 2)

First statement given,

" The sum of first number, twice the second number"

Expression for the statement → [n + 2(n + 1)]

Second statement → " 7 less than the third number"

Expression for the statement → (n + 2) - 7

Combine the expressions,

"The sum of first number, twice the second number and 7 less than the third number is 133"

Form the equation and simplify,

n + 2(n + 1) + (n + 2) - 7 = 133

n + 2n + 2 + n + 2 - 7 = 133

(n + 2n + n) + (2 + 2 - 7) = 133

4n - 3 = 144

4n = 136

n = 34

         Therefore, the numbers are,

                            1st number → n = 34

                            2nd number → (n + 1) = 35

                            3rd number → (n + 2) = 36

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Answer:

(B)the amount earned is a function of the number of hours worked.

Step-by-step explanation:

Let the time worked (in hours) worked =t

Let the amount earned =A

From the graph

When t=1, A= $10

When t=2, A= $20

When t=3, A= $30

When t=4, A= $40

When t=5, A= $50

We observe that as t increases, the amount increases.

We can, therefore, conclude that the amount earned is a function of the number of hours worked.

Answer:

x=6

Step-by-step explanation:

We can use ratios to determine the value of x

x           9

------ = ----------

10          15

Using cross products

15x = 9*10

15x = 90

Divide each side by 15

15x/15 =90/15

x = 6

Answer:

6.

Step-by-step explanation:

Triangles PQR and P'Q'R' are similar.

By similar triangles, the corresponding sides are in the same ratio

x / 10 = 9/15

15x = 90

x = 6.

Answer:

(B)-4

Step-by-step explanation:

From the table, consider the points (-4,-2), (-2,-10) and (-1,-14)

[tex]\text{Slope, m }=\dfrac{y_2-y_1}{x_2-x_1} \\=\dfrac{-10-(-2)}{-2-(-4)} \\=\dfrac{-10+2}{-2+4} \\=\dfrac{-8}{2} \\\\m=-4[/tex]

The slope of the function is -4.

The correct option is B.

Answer:

(B) -4 is your answer

Step-by-step explanation:

Hope this helps

:) :) 8) ;)

Hey there! :)

Answer:

We can use the Pythagorean theorem to show that both triangles contain equivalent shorter legs:

Triangle A:

13² = 12² + b²

169 = 144 + b²

25 = b²

b, or the other leg, = 5 cm.

--------------------------------------

Triangle B:

c² = 12² + 5²

c² = 144 + 25

c² = 169

c = 13 cm.

---------------

Both triangles contain legs with side-lengths 5, 12, and 13 cm. The triangles are congruent because the lengths of the corresponding sides between triangle A and B are equivalent, which was proved using the Pythagorean Theorem.

The temperature (t) needs to be greater than 60

So you would have t > 60

Answer:

t > 60

Explanation:

In order to answer this question we must determine two things: what two terms will be compared in the inequality and what symbol we will use to compare them. Let's start by finding, 'what two terms will be compared.'

Read the following quote from the problem...

"Forest fires are most likely to occur when the air temperature (t) is greater than 60°F."

Since the temperature (t) must be greater than sixty degrees to start a forest fire, these are the two terms that we will be comparing in the inequality.

Now, let's find out what symbol we will use to compare the terms.

Because the problem uses the phrase "greater than" to represent the comparison between the temperature of the air and an average of sixty degrees, the symbol we will be using in the inequality is the greater than sign, >.

Finally, use all the facts we have established to write the inequality.

· t = air temperature

· > = greater than

· 60 = max temp. before forest fire occurs

Therefore, the inequality for the solution is t > 60.

Answer:

Hello!

______________________

Your answer would be (B)

Step-by-step explanation: Because it is all negative when you divide by the positive number.

Hope this helped.

The sign of the quotient of positive and negative decimals correct is (B)

We have determined which rule about the sign of the quotient of positive and negative decimals is correct.

A positive question is one that can be falsifiable, or put more simply, has a yes/no answer. Think of a positive question as a how is the world question.

The sign of the quotient of positive and negative decimals is correct Because it is all negative when you divide by the positive number.

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Answer: 2.6 for the first one

Step-by-step explanation:

First absolute deviation: 1 6 5 8 3 7 1 4 10 9

Solve using the formula and get 2.6

For the second one I do not understand the digits. Therefore I cannot solve it.

I am very sorry, please forgive me

The mean absolute deviation of the data is M = 2.6

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the total number of points be n

Now , the value of n = 10

And , the number of points on each data is given by set A

Now , the value of set A = { 1 , 6 , 5 , 8 , 3 , 7 , 1 , 4 , 10 , 9 }

So , the total sum of data = 1 + 6 + 5 + 8 + 3 + 7 + 1 + 4 + 10 + 9

The total sum of data = 54

Now , the mean number of data points = 54 / 10 = 5.4

And , the mean deviation is M

M = 1/10 | [ ( 1 - 5.4 ) + ( 6 - 5.4 ) + ( 5 - 5.4 ) + ( 8 - 5.4 ) + | ( 3 - 5.4 ) | + ( 7 - 5.4 ) + ( 1 - 5.4 ) + ( 4 - 5.4 ) + ( 10 - 5.4 ) + ( 9 - 5.4 ) |

M = ( 1/10 ) [ 4.4 + 0.6 + 0.4 + 2.6 + 2.4 + 1.6 + 4.4 + 1.4 + 4.6 + 3.6 ]

M = ( 1/10 ) [ 26 ]

M = 2.6

Therefore , the value of M is 2.6

Hence , the mean deviation is 2.6

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Answer:

h = 40°

Step-by-step explanation:

These 2 angles are congruent due to the Corresponding Angles Theorem.

Answer:

40°

Step-by-step explanation:

The lines are parallel. We know this because of the 2 arrows that are on the lines, indicating they are parallel.

Therefore, the 2 angles are congruent by the Corresponding Angle Theorem.

So, we can set the 2 angles equal to each other.

40=h

Therefore, angle h is 40 degrees.

Answer:

             [tex]\bold{y+1=5(x+1)}[/tex]

Step-by-step explanation:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-1,\,-1)\ \implies\ x_1=-1\,,\ y_1=-1\\(0,\,4)\ \implies\ x_2=0\,,\ y_2=4\\\\m=\dfrac{4-(-1)}{0-(-1)}=\dfrac{5}{1}=5[/tex]

[tex]y-y_1=m(x-x_1)[/tex]      - point-slope form of Equation of the Line

[tex]x_1=-1\,,\ y_1=-1\,,\ m=5\\\\equation:\\{}\qquad\qquad y-(-1)=5\big(x-(-1)\big)\\\\{}\qquad\qquad y+1=5\big(x+1\big)[/tex]

Answer:

  H.  $12.50

Step-by-step explanation:

Misha wants 1 1/4 yards for each of two straps, for a total of 2 1/2 yards. The ribbon costs $5 per yard, so the total cost for the two straps is ...

  (2 1/2 yards)($5 /yard) = $12.50

Answer:

Yes

Step-by-step explanation:

Estimated difference > Actual difference. Hence, 1000 is the approximate answer. 2. We can estimate the product and quotient of numbers by rounding off the numbers to the greatest place.

Answer:

C:It is a strong positive correlation,and it is not likely causal.

Step-by-step explanation:

Correlation refers to the relationship between the two variables i.e x and y. It has mainly two types of correlation. The first one is positive and the other one is negative. It lied between -1 to 1. The 1 represents the strong positive correlation while the -1 represents the strong negative correlation

Since the correlation coefficient is 0.74 which is nearest to 1 so it denotes the strong positive correlation and thus is not causal

Hence, the correct option is c.

Answer:

The Answer is C Edg2020

Step-by-step explanation:

Answer:

3.08 km/h.

Step-by-step explanation:

We know that,

[tex]Speed=\dfrac{Distance}{Time}[/tex]

Ali traveled at a speed of s km/h for 2.5 hours.

Let d be the distance and t be the time.

[tex]2.5=\dfrac{d}{t}[/tex]

[tex]2.5t=d[/tex]      ...(1)

On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.

[tex]4=\dfrac{d}{t-15}[/tex]

[tex]4(t-15)=d[/tex]      ...(2)

From (1) and (2), we get

[tex]4(t-15)=2.5t[/tex]

[tex]4t-60-2.5t=0[/tex]

[tex]1.5t=60[/tex]

[tex]t=40[/tex]

Put t=40 in (1).

[tex]d=2.5(40)=100[/tex]

So, t=40 and d=100.

Now,

Total distance = d + d = 100 + 100 = 200

Total time = t + t - 15 = 40 + 40 - 15 = 65

So, the average speed is

[tex]\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}[/tex]

[tex]\text{Average speed}=\dfrac{200}{65}[/tex]

[tex]\text{Average speed}\approx 3.08[/tex]

Therefore, the average speed is 3.08 km/h.

Answer: option 4) 15°, 30°, 135°

Step-by-step explanation: because the triangle angle rule says that all the intererior angles of the triangle sum upto 180° always

Answer:

4) 15°,30°,135°

Step-by-step explanation:

The interior angles of a triangle will add up to 180°, so we have to choose an answer choice with angles that all add up to 180.

Answer #4 is correct because 15 + 30 + 135 = 180.

Answer:

a = -20/9.

Step-by-step explanation:

We can write it as

f(x) = a(x - 7)(x + 1)

When x = -2 and y = -20   (at the point(-2, -20):

-20 = a(-2 -7)(-2 + 1)

-20 = -9*-1 a

9a = -20

a = -20/9.

Answer:

a

Step-by-step explanation:

Answer:

Angle C measures:  [tex]71.52^o[/tex]

Step-by-step explanation:

When you know the length of the three sides of the triangle and not a single angle, the law of sines is of no use. You need to use the law of cosines. In your case, since you want to find angle "C", you use the following;

[tex]c^2=a^2+b^2-2\,a\,b\,cos(C)\\2\,a\,b\,cos(C)=a^2+b^2-c^2\\cos(C)=\frac{a^2+b^2-c^2}{2\,a\,b} \\cos(C)=\frac{16^2+21^2-22^2}{2\,(16)\,(21)}\\cos(C)=0.3169643\\C=arccos(0.3169643)\\C=71.52^o[/tex]

Answer:

The claim made by Mar's is correct.

Step-by-step explanation:

In this case we need to test whether M&M Mars Co.'s claim about the proportion of different colored M&Ms in a small bag is correct or not.

The hypothesis is:

H₀: The claim made by Mar's is not correct.

Hₐ: The claim made by Mar's is correct.

The proportions claimed are as follows:

Orange: 20%

Green: 16%

Blue: 24%

Other: 40%

A sample of 35 M&M's are selected.

The observed frequencies are:

Observed = {O = 4, G = 8, B = 5 and Ot = 18}

Compute the expected frequencies as follows:

[tex]E(O)=4\times 20\%=0.80\\\\E(G) = 8\times 16\%=1.28\\\\E(B)=5\times 24\%=1.20\\\\E(Ot)=18\times 40\%=7.20[/tex]

Compute the Chi-square statistic as follows:

[tex]\chi^{2}=\sum[\frac{(O-E)^{2})}{E}][/tex]

    [tex]=[\frac{(4-0.80)^{2}}{0.80}]+[\frac{(8-1.28)^{2}}{1.28}]+[\frac{(5-1.20)^{2}}{1.20}]+[\frac{(18-7.20)^{2}}{7.20}]\\\\=12.80+35.28+12.03+16.20\\\\=76.31[/tex]

The Chi-square test statistic value is 76.31.

The degrees of freedom of the test is:

df = n - 1

   = 4 - 1

   = 3

Compute the p-value as follows:

[tex]p-value=P(\chi^{2}_{0.05,3}<76.31)<0.00001[/tex]

The p-value < 0.05.

The null hypothesis will be rejected at 5% level of significance.

Thus, concluding that the claim made by Mar's is correct.

Answer:

-x³ - 6x - 2

Step-by-step explanation:

We can either use long division or synthetic division to help us divide this. You could also factor to get your answer.

Answer:A triangle ABC with positive integer side lengths has perimeter 35, centroid G, and incenter I. If ∠GIC=90∘, what is the length of AB¯¯¯¯¯¯¯¯?

We use barycentric coordinates with reference triangle △ABC. Letting k=a+b+c, we have the displacement vectors GI→=(13−ak,13−bk,13−ck) and IC→=(ak,bk,ck−1). EFFT gives us

a2(4b+c3k−13−2bck2)+b2(4a+c3k−13−2ack2)+c2(a+b3k−2abk2)=0

. Multiplying by 3k2, writing k=a+b+c, and expanding out, the equation turns into

a2((a+b+c)(3b−a)−6bc)+b2((a+b+c)(3a−b)−6ac)+c2((a+b)(a+b+c)−6ab)=0.

Expanding further and factoring an a+b+c out, we have

(a+b+c)((a+b)(4ab−a2−b2+c2)−6abc)=0.

Notice that when c=a+b the term (a+b)(4ab−a2−b2+c2)−6abc) vanishes, so we factor further to obtain

(a+b+c)(c−a−b)(a2+b2+c(a+b)−4ab)=0⟹a2+b2+c(a+b)−4ab=0⟹(a+b)2+c(a+b)=6ab⟹35(35−c)=6ab.

From the triangle inequality, we have c≤17 and we also know 6|35−c; it's now easy to find a triple (a,b,c)=(10,14,11) satisfying the equation above, and the answer is 11.

Hope this helps......

Answer:

its 60198.6

Step-by-step explanation:

use the formula present price=orginal price(1-rate/100)^years

Answer:

x=6

Step-by-step explanation:

Answer:

x = 6

hope this helps!

Answer:

dudes buggin its c he got the right answer but he didnt match with the right answer choice

Step-by-step explanation:

fshhhst

Answer:

It is D= 5 hours per day

Step-by-step explanation:

Why I say that is because 15/3 = 5 that is the same as saying 5 x 3 which is 15

so then if you do 15 x 5 you get 75 therefore your answer would be

= 5 hours per day

Answer:

false

Step-by-step explanation:

because a<0 and b<0 then ab>0

Answer:

False

Step-by-step explanation:

You don't know what a or b is for example it could be a=-3 b=-4. In that case ab= 12 but a and b indavidually are less than zero making this statment false

Answer:

For the first 3 questions, fill out exactly what you see in the picture. So, the first answer is [tex]9\sqrt{2}[/tex], the second one is x, and the third one is y. Now, since we know this is a 45 - 45 - 90 triangle, we can figure out all of the other sides. AB is the same as AC, so your answer for the fourth one question will be [tex]9\sqrt{2}[/tex]. The hypotenuse in a 45 - 45 - 90 triangle is a side times [tex]\sqrt{2}[/tex], so your last answer will be [tex](9\sqrt{2})(\sqrt{2}) = 18[/tex].

Answer:

10 more men

Step-by-step explanation:

1.5 road made per man

None of the ratios is valid implies no angle lies in quadrant 4.

Angles lie in quadrant 4. Without using a calculator, it is to determine which ratio is valid from the following 1) sin =0.789, 2) tan =0.573, 3) sin =-1.083 and 4) tan = 0.841.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Since in 4th quadrat only values of cos are positive other else operators tend to give negative value so,
1 ) sin = 0.789, here ratio is positive so it does not lies in quadrant 4.
2) tan = 0.573, it is also positive so it does not lies in quadrant 4.
3) sin = -1.083 this ratio is not possible because sin lies between (-1 to +1).
4) tan =0.841, it is also positive so it does not lie in quadrant 4.

Thus, None of the ratios is valid implies no angle lies in quadrant 4.

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