Solve for X. Geometry

Answer:

Step-by-step explanation:

7) PQ // RS,  RQ is transversal

x = 38 {Alternate interior angles are congruent}

In ΔPQR ,

x + y + ∠P  = 180   {Angle sum property of triangle}

38 + 90 + y = 180

  128 + y =  180

           y = 180 - 128

y = 52

9) Construct XY // AB

XY // AB  & AC is transversal

∠1 = ∠4     ---------(I)      {alternate interior angles are equal}

XY // AB  & BC is transversal

∠3 = ∠5     ---------(II)      {alternate interior angles are equal}

∠1 + ∠2 + ∠3 = 180   {straight line angles}

∠4 + ∠2 + ∠5 = 180    {From (I) & (II) }

Sum of three angles of triangle is 180.Hence proved.

Answer:

H0 : The mean difference in strikes between pre and post strike is equal to 0

H1 : The mean difference in strikes between pre and post strike is not equal to 0

Step-by-step explanation:

The scenario described abibe meets the condition for a paired (dependent) sample t test as the same subject is involved in both the pre and post strike data. Therefore measurement from the strike(pre) must be paired with measurement from the strike(post) data.

For a paired test involving a single subject ; The mean difference in the two sample is 0 ; that is both are the same while the alternative negates the null by claiming that the mean difference is not equal to zero.

Answer:

B.  57

Step-by-step explanation:

Theorem:

In a triangle, the measure of an exterior angle is equal to the sum of the measures of its remote interior angles.

y + y = 114

2y = 114

y = 57

Answer:

your closest number should be A

Answer:

A.√99

Step-by-step explanation:

10^2 = 100

Or vise versa √100 = 10

The closest number to 100 is 99

So √99 is closest to 10

OPTION C is the correct answer.

Answer:

d. The APR helps compare loans with the same payback period, but with different monthly rates and different fees.

Step-by-step explanation:

A loan can be defined as an amount of money that is being borrowed from a lender and it is expected to be paid back at an agreed date with interest.

Generally, the financial institution such as a bank lending out the sum of money usually requires that borrower provides a collateral which would be taken over in the event that the borrower defaults (fails) in the repayment of the loan.

An annual percentage rate (APR) is an amount of money paid as interest by borrowers or earned on loans by lenders such as banks, expressed as a percentage of the amount borrowed or invested over a 12-month period i.e on an annual basis.

Generally, the annual percentage rate (APR) helps compare loans with the same payback period, but with different monthly rates and different fees.

Answer:

A- If you have good credit, you will get a higher APR

Step-by-step explanation:

Answer:

= 16

Step-by-step explanation:

= 8 \div 2 . 4

= 16

Answer:

[tex]8\div \:2\left(2+2\right)[/tex]

[tex]=8\div \:2\cdot \:4[/tex]

[tex]=16[/tex]

OAmalOHopeO

Answer:

Step-by-step explanation:

So, yearly $2100 is paid, plus the 1.73% interest, so 1.73% interest is $2136.33every year interest stacks on itself so youll take 1.73% of the year 1 total with interest.  

Year 1 total: $2136.33

Year 2 total:$2173.29

Year 3 total:$2210.89

Year 4 total:$2249.14

Year 5 total:$2288.05

Total Paid After 5 years:$11057.70

Year 1 total interest:$36.33

Year 2 total interest:$36.96Year 3 total interest:$37.60Year 4 total interest:$38.25Year 5 total interest:$38.91

Total Interest paid after 5 years:$188.05

Answer:

15 feet width of actual garden

360 feet^2 is area

Step-by-step explanation:

Scale in drawing:

width : length

5 : 8

Actual Meausrements:

x: 24

Actual Width = 5:8

                        x : 24

                       8x = 24 x 5

                       8x = 120

                       120/8 = 15

Area of garden= lxw

15 x 24

= 360 feet^2

Answer from Gauthmath

Given:

The expression is:

[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]

To find:

The simple product.

Solution:

We have,

[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]

It can be written as:

[tex]=\dfrac{5\times 5\times x\times x}{2(x+3)}\cdot \dfrac{2}{5x}[/tex]

Cancel out the common factors.

[tex]=\dfrac{5\times x}{x+3}[/tex]

[tex]=\dfrac{5x}{x+3}[/tex]

Therefore, the correct option is C.

Answer:

12.5 % was spent

Step-by-step explanation:

How much did he start with

20 + 140 = 160

He spent 20

20/160 = 1/8

.125

12.5 % was spent

Answer:

12.5%

Step-by-step explanation

ok so

20/160(the og value) is the fraction version, to find the percent divide the numerator by teh denominator which gets you 0.125 x 100%= 12.5%

Answer: Most likely 6,750 steps

Answer:

I have no clue sorry bro.

Answer:

12

Step-by-step explanation:

because line FB divides triangle f v w into two equal halves therefore line WP is equal to line PV which is equal to 12

The required value of the PV is 12 in triangle DEF where p is the incenter.

Point P is the incenter of ΔDEF. Point P is the point of concurrency of the angle bisector. PV to be determined.

The incenter of a triangle is the intersection point of the internal angle bisectors of the triangle. In additional expressions, it can be clarified as the point where the internal angle bisectors of the triangle and perpendicular distance from this point to any of the sides of triangle is the same.

Since in triangle FGH, P is the incenter and PW, PV,PX is perpendicular distance to the sides HF, GF and GH respectively.
From image,
PW = 12
So by the property of incenter, perpendicular distance from this point to any of the sides of triangle is the same.

PW = PV
PV = 12

Thus, the required value of the PV is 12 in triangle DEF where p is the incenter.

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Answer:

LHS = (cosA+cosB)²+(sinA+sinB)²

= (cos²A+2cosAcosB+cos²B)+

(sin²A+2sinAsinB+sin²B)

/* By algebraic identity:

(x+y)² = x²+2xy+y² */

Rearranging the terms, we get

= (cos²A+sin²A)+(cos²B+sin²B)+2(cosAcosB+sinAsinB)

= 1+1+2cos(A-B)

________________________

we know that,

i) cos²x + sin²x = 1

ii) cosxcosy+sinxsiny = sin(x-y)

________________________

= 2+2cos(A-B)

= 2[1+cos(A-B)]

\boxed {1+cos\theta = 2cos^{2}\frac{\theta}{2}}

1+cosθ=2cos

2

2

θ

= 2\times 2cos^{2}\frac{(A-B)}{2}2×2cos

2

2

(A−B)

=4cos^{2}\frac{(A-B)}{2}4cos

2

2

(A−B)

=RHSRHS

Therefore,

(cosA+cosB)²+(sinA+sinB)²

=4cos^{2}\frac{(A-B)}{2}4cos

2

2

(A−B)

Answer:

Step-by-step explanation:

Hope this Helps ;)

Answer:

Options (1) and (4)

Step-by-step explanation:

Given equation for the deposit in the saving account is,

y = 20x + 50

Here, y = Amount of money in the account

20 = money added in the account every month

50 = Initial deposit

By comparing this equation with the slope-intercept form of the equation of a line,

y = mx + b

Here, slope m = money added in the account every month

And b = y-intercept

Therefore, Options (1) and (4) will be the answer.

Answer:

2 × 10⁻⁶

Step-by-step explanation:

( 1 × 10⁻³ ) ÷ ( 5 × 10² )

→ Rewrite into normal form

0.001 ÷ 500

→ Simplify

2 × 10⁻⁶

Answer:

[tex]\frac{1}{500,000}=2*10^{-6}[/tex]

Step-by-step explanation:

[tex]\frac{1*10^{-3} }{5*10^{2} } =\frac{1}{5} *10^{-3-2}=\frac{1}{5} *10^{-5} = 500,000^{-1}= \frac{1}{500,000} = 2*10^{-6}[/tex]

We have:

[tex]\frac{a^{x} }{a^{y} } = a^{x-y}[/tex]

In this case: [tex]\frac{10^{-3} }{10^{2} } = 10^{(-3)-2} =10^{-5} =\frac{1}{100,000}[/tex]

Answer:

His loss is 90

He sold it 1710

Step-by-step explanation:

1) 1800x5/100= 90

2) 1800-90=1710

Answer:

Step-by-step explanation:

CP = ₹1800

Loss  = 5%

[tex]SP =\frac{100-Loss}{100}*CP\\\\= \frac{100-5}{100}*1800\\\\=\frac{95}{100}*1800\\\\[/tex]

= ₹  1710

Loss = CP - SP

        = 1800 - 1710

        = ₹ 90

Answer:

k = 9

Step-by-step explanation:

Given

[tex]1= x^2 - 6x[/tex]

Required

The perfect number

The coefficient c of x in the above equation is:

[tex]c = -6[/tex]

Divide by 2

[tex]c/2 = -3[/tex]

Square both sides

[tex](c/2)^2 = 9[/tex]

Hence, the constant to add is:

[tex]k = 9[/tex]

Answer:

1. (2.2, -1.35) and (2.2, -1.4)

2. y = 8x - 7

3. infinite number of solutions

4. (2.2,-1.4) (2.2,-1.35)

5. 6

6. (1.33,1)

Step-by-step explanation:

Answer:

it must be yes!

Step-by-step explanation:

Solution :

Trigonometric angles :

The trigonometric angles are defined as the angles that are obtained by the ratios of trigonometric functions. It shows the relationship between the sides of the triangle and the angles between them. These values of the trigonometric angles ranges from 0 to 36 degrees.

Below attached shown are the angles on a unit circle which shows the angles for each value of sin, cos and tan, and also the radian measure for each of the angles.

Answer:

$51.38

Step-by-step explanation:

7.43% of 47.83=(rounded to the nearest hundredth) 3.55

7.43/100*x/47.83

x=3.55

because we are solving for x

we can also cross check by taking out the percentage

x/100*3.55/47.83

47.83x=355

x=7.42212000836

which is about 7.43%

47.83+3.55= 51.38

Answer:

A) 6 square inches.

Step-by-step explanation:

A(Triangle) = 1/2bh

b = base length

h = height length

A(Triangle) = 1/2(4)(3) = 6

Therefore, the area of the triangle is 6 in².

Answer:

This is a negative correlation

Step-by-step explanation:

The graph tells us that as time passes on, less strawberries/Quarts are picked.

Answer:   [tex]g(x) = -\frac{4}{x+5}+4[/tex]

===========================================================

Explanation:

We start with y = 1/x

Vertically stretching it by a factor of 4 gets us to y = 4/x. Simply multiply the right hand side by 4.

Then reflecting over the y axis means we replace every x with -x to get y = 4/(-x) but that simplifies to y = -4/x. So we can see that any y axis reflection is identical to an x axis reflection, and vice versa. This is due to the symmetry of hyperbolas like this.

Next, we replace x with (x+5) so that we shift the xy axis 5 units to the right, giving the illusion the curve shifts 5 units to the left.

Lastly, we tack on a +4 to shift the graph up 4 units.

The final result is [tex]g(x) = -\frac{4}{x+5}+4[/tex]

Answer:

1) 44  

a) 7 + 37

b) 3 + 41

c) 13 + 31

2) 36

a) 5 + 31

b) 7 + 29

c) 17 + 19

3) 24

a) 5 + 19

b) 7 + 17

c) 11 + 13

4) 18

a) 5 + 13

b) 7 + 11

Expressing the numbers as sum of two odd primes we have,

Prime numbers are numbers which are only divisible by 1 and itself.

Prime Numbers are: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,...

Odd numbers are numbers which are not divisible by 2.

Odd numbers are give by: 1,3,5,7,9,11,.....

2 is the only even number which is prime. So all prime numbers except 2 are odd numbers.

So odd prime numbers are given by: 3,5,7,11,13,17,19,23,29,31,37,41,43,47,....

Expressing the give numbers as the sum of odd prime numbers we get,

A) 44

41+3 = 44

37+7 = 44

31+13 = 44

B) 36

31+5 = 36

29+7 = 36

23+13 = 36

19+17 = 36

C) 24

19+5 = 24

17+7 = 24

13+11 = 24

D) 18

13+5 = 18

11+7 = 18

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