I need help with this question

Given:

Triangle ABC is right angled at A.

[tex]m\angle B=(5x+7)^\circ[/tex]

[tex]m\angle C=(4x+29)^\circ[/tex]

To find:

The degree measure of each angle in the triangle.

Solution:

According to the given information,

[tex]m\angle A=90^\circ[/tex]

[tex]m\angle B=(5x+7)^\circ[/tex]

[tex]m\angle C=(4x+29)^\circ[/tex]

Now,

[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]        (Angle sum property)

[tex]90^\circ+(5x+7)^\circ+(4x+29)^\circ=180^\circ[/tex]

[tex](9x+126)^\circ=180^\circ[/tex]

[tex]9x+126=180[/tex]

[tex]9x=180-126[/tex]

[tex]9x=54[/tex]

Divide both sides by 9.

[tex]x=\dfrac{54}{9}[/tex]

[tex]x=6[/tex]

Now,

[tex]m\angle A=90^\circ[/tex]

[tex]m\angle B=(5(6)+7)^\circ[/tex]

[tex]m\angle B=37^\circ[/tex]

[tex]m\angle C=(4(6)+29)^\circ[/tex]

[tex]m\angle C=53^\circ[/tex]

Therefore, the measures of ∠A, ∠B, ∠C are 90°, 37°, 53° respectively.

Answer:

(6×-5)°× (×+9)°w(4×)°y

Answer:

Perimeter = 60ft = 2(4x + x)

breadth = 6ft

length =  24ft

Step-by-step explanation:

Perimeter = 2 (L + B)

L =length

B = Breadth

x= breadth

4x = length

Perimeter = 60ft = 2(4x + x)

Dividing both sides by 2 :

30ft= 4x + x

30ft = 5x

divide both sides by 5

6ft= x

breadth = 6ft

length = 4x= 4 x 6 = 24ft

Answer:1/3

Step-by-step explanation:

If Jen has 1 chocolate bar means that he has 3/3 whole .If he gives 2/3 then he will be left with 1/3 part of the chocolate bar.

Answer:

uhhhhh 75

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

????

Step-by-step explanation:

lol can I pls get brainliest

Answer:

answer is D

the point A is located on quadrant IV

Step-by-step explanation:

hope this helps!

Answer:

The 2020th term is 3

Step-by-step explanation:

Recursive Sequence

We are given a recursive and conditional sequence where each term depends on two previous terms and a rule.

Each term is the sum of the two previous terms. But if that sum exceeds 8, then 8 is subtracted.

The first terms are, therefore:

1, 1, 2, 3, 5, 8, 5, 5, 2, 7, 1, 8, 1, 1, 2, 3, 5, 8, 5, 5, 2, 7, 1, 8, ....

Note the sequence repeats itself at term 13, that is:

a13=a1, a14=a2, a15=a3 and so on.

To find any given term, it's just a matter of calculating the remainder of that number of the term divided by 12.

For example, the term number 100 is calculated by dividing 100/12=8 (only the integer part).

Since 8*12=96, the remainder is 100-96=4

Thus, a100=a4=3

The term 2020 is calculated now:

2020/12 = 168 (integer only)

168*12=2016

The remainder is 2020-2016=4, thus

a2020 = a4 = 3

The 2020th term is 3

Answer:

[tex]45\frac{9}{10}[/tex] or [tex]45.9[/tex]

Step-by-step explanation:

All we have to do here is substitute the given value of [tex]r[/tex] into the given expression. Therefore, after substituting [tex]r=-\frac{1}{2}[/tex] into [tex]46+\frac{1}{5}r[/tex], we get:

[tex]46+\frac{1}{5}r[/tex]

[tex]= 46+\frac{1}{5}*(-\frac{1}{2} )[/tex] (Substitute [tex]r=-\frac{1}{2}[/tex] into [tex]46+\frac{1}{5}r[/tex])

[tex]=46-\frac{1}{10}[/tex] (Multiply)

[tex]=45\frac{9}{10}[/tex] or [tex]45.9[/tex] (Simplify)

Hope this helps!

Hey there!

The answer to your question is  [tex]45\frac{9}{10}[/tex]

We can find this by simply plugging in the "r" value into the given equation.

46 + [tex]\frac{1}{5}[/tex] ([tex]\frac{-1}{2}[/tex])

Now we evaluate the equation:

46 + [tex]\frac{1}{5}[/tex] ([tex]\frac{-1}{2}[/tex])

46 + [tex]\frac{-1}{10}[/tex]

[tex]45\frac{9}{10}[/tex]

Hope this helps and have an amazing day!

Answer:

ASA

Step-by-step explanation:

Don't worry I just know

Answer:

B. 36

Step-by-step explanation:

The equation in question is not well written. Let the equation be;

x²+12x+5 = 0

In order to know what number should be added to both sides of the equation, we will take the square of the half of coefficient of x as shown;

Coefficient of x = 12

Half of 12 = 1/2(12) = 6

Square of 6 = 6² = 36

Hence the required number to add to both sides of the equation by completing the square method is 36

Answer: 2,385

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

E, D, and A.

well because it can be divide my 5.

Answer:

60 minutes

Step-by-step explanation:

We solve this question using Lowest Common Factor method

Find and list multiples of each number of minutes( 12 and 10 minutes) until the first common multiple is found. This is the lowest common multiple.

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80

Multiples of 12:

12, 24, 36, 48, 60, 72, 84

Therefore,

LCM(10, 12) = 60

The number if minutes until they both drip again is 60 minutes

Answer:

33 meters.

Step-by-step explanation:

You're trying to find the difference between 86 and 53. To find that, you would do 86-53.

Answer:

The answer is 33 meters

Step-by-step explanation:

This question is to find the difference between your's and someone else's swimming distance. Therefore, if you wanna know the difference of the distance you have to subtract form 86-33 which give the answer 33 meters.

Answer the first is opposite and other is same

Step-by-step explanation:

Answer:

1). Yes

2). Yes

3). No

Step-by-step explanation:

1). y = 3

  We can rewrite this equation in the slope-intercept form as,

   y = 0.x + 3

  Here, slope = 0

  y-intercept = 3

  Therefore, it's a linear relation.

  YES.

2). 2x - 5y = 10

   5y = 2x - 10

   y = [tex]\frac{2}{5}x-2[/tex]

   Therefor, it's a linear function.

   YES

3). y = x(x + 3)

   y =x² + 3x

   Since, this equation is a quadratic equation,

   It's not a linear function.

   NO

Answer:

Yes! Total received was $84.525

Step-by-step explanation:

Note that 5% is another way of writing

5

100

Charge:

→

$

70

+

(

5

100

×

70

)

=

$

73.5

15% tip

→

15

100

×

Charge  

→

15

100

×

$

73.5

=

$

11.025

Total income:

→

$

73.5

+

$

11.025

84.525

=

$Did they receive more than $82

→

Yes

Answer:

Total received was $84.52

Answer: 3.55 g

Step-by-step explanation: 3.447 g rounded to the nearest 1/100 g is 3.55 g.

Hint: nearest 1/100 g also means nearest hundredth!

Answer:

46.8 inches

Step-by-step explanation:

Taller person = 30% more than height of shorter individual

Waist size of shorter person = 36 inches

Since they are proportioned in the same way:

Waist size of the taller person will be 30% larger than the waist size of the shorter person :

30% increase in size 36

(100 + 30)% of 36

130% of 36

(130 / 100) * 36

1.3 * 36

= 46.8 inches

Answer:

(-2, 0, 1, 3)

Step-by-step explanation:

From the given graph, there are four x-intercepts, which are the points the graph crosses the x-axis

Taking the y-axis as the given vertical line, and each demarcation as representing one unit division, we have;

The x coordinates of the x-intercepts are given as follows;

1) Two lines to the left of the origin which represents "-2"

2) Through the origin, which represents "0"

3) One line to the right of the origin which represents "1"

4) Three lines to the right of the origin which represents "3"

The set of values that represents the x-intercepts of the function are;

(-2, 0, 1, and 3)

Answer:

3 toothpaste

Step-by-step explanation:

Tube of toothpaste : year

1/2 : 1/3

how much toothpaste would he use in one year

Tube of toothpaste : year

x : 1

Seductions

1/2 : 1/3 = x : 1

1/2 ÷ 1/3 = x / 1

1/2 × 3/1 = x/2

3/2 = x/2

x = 3/2 ÷ 1/2

= 3/2 × 2/1

= 6/2

x = 3 toothpaste

Answer:

its 1  1/2

Step-by-step explanation:

Find Warren's rate in tubes of toothpaste per year. Divide  

1

2

of a tube of toothpaste by  

1

3

of a year.

To divide by  

1

3

, multiply by its reciprocal, 3.

1

2

÷

1

3

=  

1

2

3

=  

13

2

Simplify.

13

2

=  

3

2

= 1

1

2

Warren used the toothpaste at a rate of 1

1

2

tubes per year. So, he would use 1

1

2

tubes in 1 year.