(easy 7th grade math questions please help) find the measure of the indicated angle in each triangle

Answer:

Option A , should not be rejected

Step-by-step explanation:

From the question we are told that:

Sample 1 [tex]n=25[/tex]

Standard deviation 1 [tex]\sigma_1=30[/tex]

Sample 2 [tex]n=16[/tex]

Standard deviation 2 [tex]\sigma_2=20[/tex]

Level of  confidence [tex]\alpha=95\%=>0.95[/tex]

Generally The Hypothesis are given as

 [tex]H_0:\sigma_1^2=\sigma_1^2[/tex]

 [tex]H_1:\sigma_1^2\neq \sigma_1^2[/tex]

Generally the equation for test Statistics is mathematically given by

 [tex]T=\frac{\sigma_1^2}{\sigma_2^2}[/tex]

 [tex]T=\frac{30^2}{20^2}[/tex]

 [tex]T=2.25[/tex]

Therefore

Critical Value

 [tex]X=(\alpha,df_1)[/tex]

 [tex]X'=(\alpha,df_2)[/tex]

Where

 [tex]df=n-1[/tex]

Therefore

 [tex]X=(0.95,24)[/tex]

 [tex]X'=(0.95,15)[/tex]

From Table

 [tex]T_{Critical}=T_x,T_{x'}[/tex]

 [tex]T_{Critical}=0.41,2.701[/tex]

Therefore

 [tex]T_x<T<T_{x'}[/tex]

Hence,We fail to reject the Null Hypothesis [tex]H_0[/tex]

Option A , should not be rejected

Answer:

the sum of all angles in a triangle is 180°.

the two triangles got the same angles I suppose

180-85-25 = 70

70° is the answer

Answer:

X = 70

Step-by-step explanation:

Since ABC is similar to XYZ

Angle A is equal to angle X

We can find angle A since the sum of the angles of a triangle is 180

A + B+C = 180

A + 85+25 = 180

A + 110 =180

A = 180-110

A = 70

X = 70

Answer:

5/9, or 56%, or 0.55...

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Given the equation :

6x + 5=9x - 4

Collect like terms :

6x - 9x = - 4 - 5

-3x = - 9

Divide both sides by - 3

-3x / - 3 = - 9 / - 3

x = 3

Hence, x = 3

Answer:

B. NO

Step-by-step explanation:

Figure B can only be a scale copy of Figure A if the ratio of their corresponding side lengths are equal.

Let's find out:

9/3 = 3

7.3/2.2 ≈ 3.3

Thus:

9/3 ≠ 7.3/2.2

Since the ratio of their corresponding side lengths are not equal, therefore Figure B is not a scale copy of Figure A.

The answer is NO.

Answer:

y-15=3x balakaksnzujsbhzbskndh

Answer:

x = - 6 , y = - 3

Step-by-step explanation:

y - 15 = 3x  => y = 3x + 15 ------- ( 1 )

-2x + 5y = - 3 --------- ( 2 )

Substitute ( 1 ) in ( 2 ) :

-2x + 5 ( 3x + 15) = - 3

-2x + 15x + 75 = - 3

 13x = - 3 - 75

 13x = - 78

   x = - 6

Substitute x in ( 1 ) :

         y = 3x + 15

            = 3 ( - 6 ) + 15

            = - 18 + 15

          y  = - 3

Answer: 12x^ 3 + 22x^ 2 +26x + 9

Answer:

[tex]y = 3x +1[/tex]

Step-by-step explanation:

Given

[tex]m = 3[/tex]

[tex](x_1,y_1) = (-2,-5)[/tex]

Required

The equation

This is calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 3(x - -2) -5[/tex]

[tex]y = 3(x +2) -5[/tex]

Open bracket

[tex]y = 3x +6 -5[/tex]

[tex]y = 3x +1[/tex]

Answer:

see below

Step-by-step explanation:

tan A = opp / adj = 5/12

sin A = opp / hyp = 5/13

cos A = adj / hyp = 12/13

Answer:

The answer is B or 15.

Step-by-step explanation:

the total money saved divided by the time is always 15

Answer:

b

Step-by-step explanation:

Answer: the required principal value is $7,719.30

Step-by-step explanation:

Given: Formula to calculate interest : I= Prt, P=principal value, r = rate of interest, t = time.

I = $11,000

r= 9.5% = 0.095

t= 15 years

Substitute in formula, we get

[tex]11000=(P)\times (0.095)\times(15)\\\\\Righatrrow\ P=\dfrac{11000}{0.095\times15}\approx\$7719.30[/tex]

Hence, the required principal value is $7,719.30

Answer:

[tex]Apple \to 4[/tex]

[tex]Banana \to 4[/tex]

[tex]Cherry \to 5[/tex]

Step-by-step explanation:

Given

[tex]A \to Apple[/tex]

[tex]B \to Banana[/tex]

[tex]C \to Cherry[/tex]

From the rows, the equation is:

[tex]B + 2A =12[/tex] --- (1)

[tex]2B + C = 13[/tex] --- (2)

[tex]A + 2C = 14[/tex] --- (3)

Make A the subject in: [tex]A + 2C = 14[/tex]

[tex]A = 14 -2C[/tex]

Substitute [tex]A = 14 -2C[/tex] in [tex]B + 2A =12[/tex]

[tex]B + 2(14 - 2C ) = 12[/tex]

[tex]B + 28 - 4C = 12[/tex]

Make B the subject

[tex]B = 4C - 28 +12[/tex]

[tex]B = 4C -16[/tex]

Substitute [tex]B = 4C -16[/tex] in [tex]2B + C = 13[/tex]

[tex]2(4C - 16) + C = 13[/tex]

[tex]8C - 32 + C = 13[/tex]

Collect like terms

[tex]8C + C = 13+32[/tex]

[tex]9C = 45[/tex]

Divide by 9

[tex]C = 5[/tex]

Recall that:

[tex]B = 4C -16[/tex]

[tex]B =4*5-16[/tex]

[tex]B =20-16[/tex]

[tex]B =4[/tex]

Recall that:

[tex]A = 14 -2C[/tex]

[tex]A= 14 -2*5[/tex]

[tex]A= 14 -10[/tex]

[tex]A =4[/tex]

Hence:

[tex]Apple \to 4[/tex]

[tex]Banana \to 4[/tex]

[tex]Cherry \to 5[/tex]

Answer: 80

Step-by-step explanation: Because it is in the middle.

Answer:

Volume of a cone = ⅓volume of a cylinder

Answer:

Step-by-step explanation:

4-3(6)-1

= 4 - 18 - 1

= 4 - 19

= -15 (Ans)

Answer:

The correct answer is d

Step-by-step explanation:

A graph of a non-vertical straight line is a linear function

Answer:

The answers to your questions are given below.

Step-by-step explanation:

A. Determination of the length.

Length (cm) = 32

Length (m) =?

Length (mm) =?

I. Determination of the length in m.

100 cm = 1 m

Therefore,

32 cm = 32 × 1 m / 100 cm

32 cm = 0.32 m

II. Determination of the length in mm

1 cm = 10 mm

Therefore,

32 cm = 32 cm × 10 mm / 1 cm

32 cm = 320 mm

B. Determination of the height.

Height (m) = 1.58 m

Height (cm) =?

Height (mm) =?

I. Determination of the height in cm.

1 m = 100 cm

Therefore,

1.58 m = 1.58 m × 100 cm / 1 m

1.58 m = 158 cm

II. Determination of the height in mm

1 m = 1000 mm

Therefore,

1.58 m = 1.58 m × 1000 mm / 1 m

1.58 m = 1580 mm

C. Determination of the width.

Width (mm) = 36 mm

Width (m) =?

Width (cm) =?

I. Determination of the width in m.

1000 mm = 1 m

Therefore,

36 mm = 36 mm × 1 m / 1000 mm

36 mm = 0.036 m

II. Determination of the width in cm

10 mm = 1 cm

Therefore,

36 mm = 36 mm × 1 cm / 10 mm

36 mm = 3.6 cm

D. Determination of the length.

Width (mm) = 105 mm

Width (m) =?

Width (cm) =?

I. Determination of the width in m.

1000 mm = 1 m

Therefore,

105 mm = 105 mm × 1 m / 1000 mm

105 mm = 0.105 m

II. Determination of the width in cm

10 mm = 1 cm

Therefore,

105 mm = 105 mm × 1 cm / 10 mm

105 mm = 10.5 cm

E. Determination of the length.

Length (m) = 2 m

Length (cm) =?

Length (mm) =?

I. Determination of the length in cm.

1 m = 100 cm

Therefore,

2 m = 2 m × 100 cm / 1 m

2 m = 200 cm

II. Determination of the length in mm

1 m = 1000 mm

Therefore,

2 m = 2 m × 1000 mm / 1 m

2 m = 2000 mm

Summary:

Item >>>>>>>> m >>>> cm >>>> mm

A. Lenght >>> 0.32 >> 32 >>>> 320

B. Height >>> 1.58 >> 158 >>>> 1580

C. Width >>> 0.036 >> 3.6 >>>> 36

D. Length >> 0.105 >> 10.5 >>> 105

E. Width >>> 2 >>>>>> 200 >>> 2000

Answer:

2a : f(-2) = 15

2b : f(2x) = 8x² - 2x + 5

2c : f(x-1) = 2x² - 5x + 8

3a : x > 1/3

3b : x <> {2,3}

4 : 6x

Step-by-step explanation:

2a.

2×(-2)² - (-2) + 5 = 2×4 + 2 + 5 = 15

2b.

2×(2x)² - 2x + 5 = 2×4x² - 2x + 5 = 8x² - 2x + 5

2c.

2×(x-1)² - (x-1) + 5 = 2×(x² - 2x + 1) - x + 1 + 5 =

= 2x² - 4x + 2 - x + 1 + 5 = 2x² - 5x + 8

3a.

the square root is not defined for negative values, which would happen for any x < 1/3. and for x=1/3 the expression would be a division by 0, which is also undefined.

so, all that is left is x>1/3.

3b.

we must avoid a division by 0. everything else is well defined.

so, when is that expression x² - 5x + 6 = 0 ?

solution for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/2a

a = 1

b = -5

c = 6

x = (5 ± sqrt(25 - 24))/2 = (5 ± sqrt(1))/2 = (5 ± 1)/2

x1 = (5+1)/2 = 6/2 = 3

x2 = (5-1)/2 = 4/2 = 2

so, these values must be avoided for x. everything else is valid.

4.

(f(x+h) - f(x))/h

for h going to 0.

f(x) = 3x² - 5

f(x+h) = 3×(x+h)² - 5

f(x+h) - f(x) = 3×(x² + 2hx + h²) -5 - 3x² + 5 =

= 3x² + 6hx + 3h² - 3x² = 6hx + 3h²

=>

(f(x+h) - f(x))/h = (6hx + 3h²)/h = 6x + 3h = for h 0 = 6x

Answer:

B. The x variable appears in the denominator.

Step-by-step explanation:

Given

[tex]\frac{5}{x} - y = 1[/tex]

Required

What makes it not linear

First, make y the subject

[tex]y = \frac{5}{x}+1[/tex]

A linear equation is represented as:

[tex]y = mx + b[/tex]

Notice that the exponent of x in the general form is: 1

This means that x has to appear as a numerator

In [tex]y = \frac{5}{x}+1[/tex], the exponent of x is -1

This means that x has to appear as a denominator

Hence, (b) is true

Answer:

P(10) = 26237[1 + 0.024]^10

Step-by-step explanation:

From the information given :

Initial population, P0 = 26, 237

Annual growth rate, r = 2.4%

Number of Years, n = 10

The general exponential growth relation is give as :

P(x) = P0(1 + r)^n

Where ;

P(x) = population after x years

P0 = Initial population

r = growth rate

n = number of years

P(10) = 26237[1 + 0.024]^10

Answer:

0.180144 < p < 0.339856

Step-by-step explanation:

According to the Question,

⇒ standard error of the sample is square root(0.26 * (1-0.26) / 200) = 0.031

⇒alpha(a) = 1 - 99/100 = 0.01

⇒critical probability(p*) = 1 - a/2 = 0.995

⇒assuming a normal distribution, look for the z-score associated with 0.995 cumulative probability , z-score = 2.576

⇒margin of error(ME) = 2.576 * 0.031 = 0.079856

0.180144 < p < 0.339856

Answer:

4

Step-by-step explanation:

The Cardinal number of a set can be explained as the number of distinct element in a finite set :

Given the set :

A = (1,2,3,4)

The number of distinct element in the set is :

4, hence, the Cardinal number of the set is 4

Answer:

The answer is > (greater than)

Step-by-step explanation:

It is > because if MN is the larger side and the largest angle would be across from the largest side, then that would make the largest angle, angle 2 and that would in turn make 3 the smaller angle. I know this is correct because I got it right.

Answer:

cos R = .98

Step-by-step explanation:

cos R = SR/QR

QR is the hypotenuse of the right triangle.  By the Pythagorean theorem

(QR)^2 = (QS)^2 + (SR)^2

           = 9^2 + 40^2

           = 81 + 1600

           = 1681

QR = 41

Cos R = adjacent side/hypotenuse = 40/41 = .98

The value of the cosine of ∠R to the nearest hundreth is  0.98.

A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

The sides can also be found using pythagoras theorem. Therefore,

∠S = 90°

RQ = 41

QS = 9

SR = 40

cos R = adjacent / hypotenuse

Therefore,

adjacent side = 40

hypotenuse = 41

cos R = 40 / 41

cos R = 0.97560975609

cos R = 0.98

learn more on right triangle here: https://brainly.com/question/27309330

Answer:hbwufvj6y

Step-by-step explanation: