Triangle ABC is similar to triangle DEF. Find the measure of side EF. Figures are not drawn to scale.

answer:

∠B = 70°

step-by-step explanation:

∠A = ∠B

8x + 6 = 4x + 38

4x + 6 = 38

4x = 32

x = 8

4(8) + 38

32 + 38

= 70

Answer:

The evidence is not sufficient to suggest that the theft rate of Nissan Maxima cars are higher than national rate

Step-by-step explanation:

The number of cars that where reported stolen in 1999 = 2.2% = 0.022

The number of Nissan Maxima cars in the sample = 400

The number of Nissan Maxima cars that were reported stolen = 12

The level of significance, α = 0.05 level

The critical-z at 0.05 = 5% level = 1.645

The percentage of Nissan Maxima cars reported stolen, [tex]\hat p[/tex] = 12/400×100  = 3%

The test statistic is given as follows;

[tex]z=\dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0 \cdot (1 - p_0)}{n}}}[/tex]

Therefore

[tex]z=\dfrac{0.03-0.022}{\sqrt{\dfrac{#0.022 \cdot (1 - #0.022)}{400}}} \approx 1.0908[/tex]

The test statistic = 1.0908

The p-value P(Z > 1.0908) = 1 - P(Z > 1.0908) = 1 - 0.86214 = 0.13768

Given that the critical-z is larger than the absolute value of the test statistic, the given data is statistically insignificant, we fail to reject the null hypothesis

There is not enough statistical evidence to suggest that the theft rate of Nissan Maxima cars are higher than national rate.

Answer:

Step-by-step explanation:

area of sector=πr²/4=π ×6²/4=9 π ft²

area of one triangle= 1/2×6×6=18 ft²

area of three triangles=3×18=54 ft²

area of sector +area of three triangles=54+9 π ft²

area of circle=π×6²=36 π ft²

area of shaded region=36 π-9π-54=27 π-54=27(π-2) ft²

Answer:

256 ft²

Step-by-step explanation:

[tex]SA=2(lw+lh+wh)[/tex] where l is length and w is width and h is height

Plug in the given information

[tex]SA=2(5*4+5*12+4*12)\\SA=2(20+60+48)\\SA=2(80+48)\\SA=2(128)\\SA=2(128)\\SA=256[/tex]

Therefore, the surface area of the rectangular prism is 256 ft².

I hope this helps!

Answer:

We know that

SA = 2(lw + wh + lh)

SA = 2[(5 × 4) + (4 × 12) + (5 × 12)]

SA = 2[20 + 48 + 60]

SA = 2[128]

SA = 256 ft²

[tex] \\ [/tex]

Answer:

5

Step-by-step explanation:

633 yess sjs this is rhe im doing this for points

Answer: V=a3

Step-by-step explanation:

Answer:

h = 66

h = 68

h = 71

Step-by-step explanation:

We have two inequalities:

h < 75  (h is strictly smaller than 75)

h > 64  (h is strictly greater than 64)

That represents the height restrictions in inches.

Now, we want to find 3 possible solutions to both inequalities.

To do it, we can write the two inequalities as one:

64 < h and h < 75

Writing these as one inequality, we get:

64 < h < 75

So the solutions can be any value of h larger than 64 and smaller than 75.

Then the solutions can be:

h = 66

h = 68

h = 71

These 3 values are solutions for both inequalities.

Answer:

a=1,b=3,c=10

Step-by-step explanation:

a= the number with the highest power, in this case it is x^2. Therefore, a=1.

b= the number with the second number, the one that has an x. Therefore, b=3.

c=the last number, the one with no variable. therefore, c=10

If this helps please mark as brainliest

Answer:

10,000 divided by 5,000 12 times

Step-by-step explanation:

Answer:

Tip $6

Total Amount $36

Step-by-step explanation:

20% of $30 is 6

$30 + $6 = 36

Answer:

Area = 109 ft^2

Step-by-step explanation:

Area of shaded part = (16 ft)(9 ft) - (7 ft)(5 ft)

= 144 ft^2 - 35 ft^2

= 109 ft^2

Answer:

You should buy 3 packages of beads that come in packages of 4 and 1 package of beads that come in packages of 12 to have an equal number of each of the different kinds of beads.

Step-by-step explanation:

Since the different kinds of beads Jen is using to make purses come in packages of 4 and 12, to determine what is the least number of each kind of bead Jen can buy to have an equal number of each of the different kinds of beads the following calculation must be performed:

12/4 = 3

4 x 3 = 12

Thus, you should buy 3 packages of beads that come in packages of 4 and 1 package of beads that come in packages of 12 to have an equal number of each of the different kinds of beads.

Answer:

1. tan(x) = 9/20

arctan(9/20) ≈ 24.23°

2. cos(x) = 17/32

arccos(17/32) ≈ 57.91°

3. tan(x) = 13/18

arctan ≈ 35.84°

4. sin(x) = 21/28

arcsin(21/28) ≈ 48.59°

Answer:

1    x = 24.2°

2    x = 57.9°

Step-by-step explanation:

You must memorize the definitions of the trig functions and then these problems are easy

1:   tan = opposite side/adjacent side

opp side to x is 9 and adjacent side is 20

So, tan x = 9/20

x = arctan (9/20) = 24.2°

2:   cos = adjacent side/hypotenuse

adjacent side = 17 and hypotenuse = 32

cos x = 17/32

x = arccos (17/32)

x = 57.9°

You do 3 and 4.  Hint:  Use the tan function in 3 and the sine function in 4

OK?   You can do it!!!!

Answer:

if that is a triple negative it would 5,2,2 1.7

Step-by-step explanation:

Answer:

me neither!

what's wrong with this app?

Given–

AB = 12 Cm

CD = 14 Cm

PO = 10 Cm

AP = 1/2 × 12 = 6 Cm

Construction–

Draw NO such that it is the perpendicular bisector of CB.

Hence,

ND = 1/2 × 14 = 7 Cm

To Find,

Measure of NO

Solution,

Here, PO Perpendicular to AB

Hence, APO is a right-angled triangle–

AO² = PO² + AP²

Or, AO² = 10 ² + 6 ²

Or, AO² = 36 + 100

Or, AO = √136 Cm

Or, AO = 11.66 Cm

Also, AO = OD = 11.66 Cm

( Radius of the same circle )

Now, in triangle OND,

OD² = ON² + ND ²

Or, 11.66 ² = ON² + 7²

Or, 136 = ON² + 49

Or, ON ² = 136 – 49

Or, ON ² = 87

Or, ON ² = √87

Or, ON = 9.3 Cm

Therefore, the appropriate length from center to CD is 9.3 Cm.

Answer:

wrong question

Step-by-step explanation:

[tex]wrong question[/tex]

Answer:

The two integers are 2 and 3

Step-by-step explanation:

√5

=2.2

Answer:

C

Step-by-step explanation:

sin33° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{19}[/tex] ( multiply both sides by 19 )

19 × sin33° = y → C

Answer: c

Step-by-step explanation: sin 33=x/19 x=19sin33

Answer:

look at the picture i have sent

Answer:

BHM = 64°

x = 16°

Step-by-step explanation:

BHL is 90° and MLH is 26°. This means to find BHM, we have to subtract 26 from 90.

90 - 26 = 64°

BHM = 64°

BHM is also equal to 4x.

So, to find x, divide 64 by 4.  (64 = 4x  -->  64 ÷ 4 = x)

64 ÷ 4 = 16

x = 16°

Answer:

18

Step-by-step explanation:

No of people joined=3

let x be people in begning

atq 3= 20/100x

x=20/100*3=15

no of people now=15+3=18

Answer:

Step-by-step explanation:

so theres 8 red marbles, 6 blue marbles, and 6 white marbles so that makes

8 + 6 + 6 = 20 marbles in total

the probability of the marble being white is 6/20 or 3/10

so the probabilty of the marble NOT being white is 1 - (3/10) = 7/10

Answer:

$330

Step-by-step explanation:

to find how much he earned before raise:

1.2x = 1980

x = 1980/1.2

x = 1650

current salary: 1980

former salary: 1650

he makes $330 more

Answer:

330

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

because m || n, you can assume the two angles are congruent.

set them equal to each other:

5x - 4 = 4x - 2

solve

add 4 to both sides: 5x + (-4 + 4) = 4x + (-2 + 4) --> 5x = 4x + 2

subtract 4x from both sides: (5x - 4x) = (4x - 4x) + 2 --> x = 2

Answer:

The number of students who spend 4 hrs or more for reading = 25/100 = 1/4

we know 100 is a factor of 300

so equivalent fraction of (25/100)

× 3 = 75/300 = 1/4

.°.The simplest answer = 1/4 = 75/300

Hope it helps

Answer:

Domain of the function → (-6, ∞)

Range of the function → (-∞, ∞)

Step-by-step explanation:

Domain of a function is the set of x-values of the function.

Similarly, Range of the function is the set of y-values.

From the graph attached,

Domain of the function → (-6, ∞)

x-values of the function starts from x = -6 (excluding x = -5) and tends to the positive infinity.

Range of the function → (-∞, ∞)

y-values starts from negative infinity and tends to positive infinity.

Answer:

(Look at image)

Step-by-step explanation:

(Also look at image)

Answer:

7.5 for 6 pounds

Step-by-step explanation: