Devaughn's age is two times Sydney's age. The sum of their ages is 18. What is Sydney's age?

Answer:

63 42

53

53

52

Jdjdjdjfh

By using property - 1,

m∠APD = m∠DPC = m∠BPC = m∠APB = 90°

Apply triangle sum theorem in ΔAPD,

m∠DAP + m∠APD + m∠DPA = 180°

52° + 90°+ m∠DPA = 180°

m∠DPA = 38°

By using property - 3,

m∠PDC = m∠DPA = 38°

m∠PAB = 52°

By using property - 2,

m∠ADC + m∠DCB = 180°

2(38°) + m∠DCB = 180°

m∠DCB = 104°

Therefore, m∠PCD = m∠PCB = [tex]\frac{104}{2}[/tex] = 52°

m∠DAP = m∠BAP = 52°

Since, m∠ADC = m∠ABC = 76°

Therefore, mABP = m∠CBP = [tex]\frac{76}{2}=38^\circ[/tex]

         Hence, m∠APD = m∠DPC = m∠BPC = m∠APB = 90°, m∠DPA = 38°, m∠PAB = 52°, m∠PCD = m∠PCB = 52°, m∠BAP = 52°, mABP = m∠CBP = 38°.

Learn more about rhombus here,

https://brainly.com/question/11812488?referrer=searchResults

Given :

A point ( -3 , -2 ).

An equation of a line, y = x + 2.

To Find :

An equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation.

Solution :

Let, equation of new line is :

y = mx + c     ....1)

Here, m and c are slope and intercept respectively.

We know, product of slope of two line is -1 :

m( 1 ) = -1

m = -1

It is also given that point ( -3,-2 ) passes through this point.

Putting value of this point and slope in equation 1), we get :

[tex]-2 = (-1)\times ( -3 ) + c\\\\c = -2 -3\\\\c = -5[/tex]

Therefore, the equation of line is : y = -x -5 .

Answer:

D

Step-by-step explanation:

overdrawn = =negative so -11.85+11.85 or option D

Hope this helps plz hit the crown ;D

Answer:

95%

Step-by-step explanation:

300/284 = 0.946666... rounded the the whole percent is 95%

300 * 95% = 285

Answer:

Although doctor-centric dramas can be entertaining, they're usually filled with a number of inaccurate portrayals of the medical field.

To see where which popular shows get the details right and which ones are loaded with problems, Insider consulted with real doctors and nurses.

Here's how the experts really feel about popular medical shows.

Note: The Entertainment Value and Medical Accuracy scores on each slide are the averages of the scores (out of 10) that the experts provided for each show.

Step-by-step explanation:

please mark me as brainlest answer hope this helps

Answer:

AA similarity, triangle CBA is congruent to triangle CST

Step-by-step explanation:

angle ACB and angle TCS are congruent by the vertical angles theorem

The picture marks that angle B and angle S is congruent

since 2 angles are congruent, the triangles are similar by the AA similarity

Answer:

Dimensions of the box:

x =  1,26  ( the side of the square base )

h = 2,52   the heigh of the cube

Step-by-step explanation:

V(b)  = x² *h      x is the side of the square base, and h the heigh of the cube

The surface area of such cube is:

Area of the base   A(b)  = x²

Lateral area is  4*x*h

A(c) = x²  +  4*x*h

Now   x² * h  = v = 4 m³       ⇒  h = 4/x²   and

A(x)   =  x²   +  4/x

Tacking derivatives on both side of the equation:

A´(x)  =  2*x - 4/x²

A´(x) = 0       2*x  - 4/x²  =  0        ⇒   2*x³  -  4   = 0

x³  = 2

x  = 1,26 m

And  h = 4/(1,26)²        ⇒     h  =  2,52 m

How do we know the value of  x  =  1,26 is for a minimum value of A(x)

We find the second derivative of  A(x)

A´´(x)  =  2  -  (-4*2*x/x⁴)

A´´(x)  =  2  + 8/x³       is positive  A´´(x)  >  0

Then function A(x) has a minimum value at x = 1,26

Answer:

65.426

Step-by-step explanation:

Given that:

Mean height (m) = 68 inches

Standard deviation (s) = 2 inches

Height required to be taller than 90% of the class :

P(Z > x) = 0.9

The corresponding Zscore is - 1.282 (Z probability calculator)

Using the Zscore relation :

Zscore = (x - m) / s

-1.282 = (x - 68) / 2

-1.282 * 2 = x - 68

-2.564 = x - 68

-2.564 + 68 = x

x = 65.436

Answer:

1 : 64

Step-by-step explanation:

Model:

1/2 in * 1/6 in = 1/12 in^2

Real:

1/3 ft * 1/9 ft = 1/3 * 12 in * 1/9 * 12 in = 16/3 in^2

model : real

1/12 / 16/3 = 1/12 * 3/16 = 3/192 = 1/64

model : real = 1 : 64

Answer:

y=75x+100

Step-by-step explanation:

Answer:

64 ; 8

Step-by-step explanation:

a² ± 2ab + b² = (a ± b)²

x² + 2(8)(x) + 8² =

x² + 16x + 64 =

(x + 8)²

Answer:

5.96

Step-by-step explanation:

4x+4=8-4x

4x+4x=8-4

8x=4

x=4/8

x=1/2

Step-by-step explanation:

4x+4=8-4x

4x+4+(4x)=8-4x+(4x)

8x+4-(4)=8-(4)

8x÷(8)=4÷(8)

x=0.5 or 1/2

Answer:

it's a quadratic formula

Step-by-step explanation:

in the formula, substitute the value of a as 1, b as 2 and c as -8

then, you will get ur answer

Answer:

The sorted inputs in order from least to greatest is:

4/9 < 7/12 < 2/3 < 5/6

Step-by-step explanation:

Using the given inputs:

4/9,2/3,7/12,5/6

The least common denominator (LCD) is: 36

Rewriting as equivalent fractions with the LCD:

4/9,          2/3,          7/12,          5/6

16/36,       24/36,       21/36,       30/36

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

4/9            7/12             2/3             5/6

16/36  <    21/36    <     24/36  <     30/36

Therefore, the sorted inputs in order from least to greatest is:

4/9 < 7/12 < 2/3 < 5/6

Answer:

there would be 96 blue marbles and 4 white ones

Step-by-step explanation:

theres 100 marbles. every 24 marbles is 1 white marble. 24+1=25 25×4=100 24×4=96 1×4=4

Answer:

96 blue

Step-by-step explanation:

There are 24 blue for every 1 white so

24+1 = 25 blue marbles

25x4 = 100 or the total amount

100(total)-4 (white)

= 96 blue marbles

Answer:

1b

1

Step-by-step explanation:

Answer:

There is no pattern to it.

Step-by-step explanation:

Answer:

Giraffe = 10

Guinea Pig = 4

Tiger = 16

Step-by-step explanation:

G       GP      T                                  = 30

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

X      X-6     (X-6)*4

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

9         3         12                               = 24

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

10       4         16                               = 30 ✅

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

Answer:

d=6c it looks like. good luck

The question was rewritten because it has an obvious mistype.

Answer:

The coordinates of B' are (-3,-15)

Step-by-step explanation:

We are given the point A(-3,-1) and we know it was dilated to the point A'(-9,-3) by some scale factor.

The scale factor can be found by dividing each coordinate of A' by the same coordinate of A. Let's call the factor as k:

k = -9/(-3) = 3

k = -3/(-1) = 3

Thus the scale factor is 3.

If we apply the same factor to B(-1,-5), we get the coordinates of B' as:

B'( 3*(-1) , 3*(-5) ) = B'(-3,-15)

The coordinates of B' are (-3,-15)

Answer:

Percent decrease = 10.43% (Approx)

Step-by-step explanation:

Given:

Old price = $1.15 million

New price = $1.03 million

Find:

Percent decrease

Computation:

Percent decrease = [(Old price - new price)/Old price]100

Percent decrease = [($1.15 million - $1.03 million)/$1.15 million]100

Percent decrease = [($0.12 million)/$1.15 million]100

Percent decrease = 10.43% (Approx)

Answer:

false

Step-by-step explanation:

its not correct

Answer:

C) ΔEFG ≅ΔLMN

Step-by-step explanation:

C) ΔEFG ≅ΔLMN

Answer:

sin d= 20/29

cos d= 21/29

tan d= 20/21

sin e= 21/29

cos e= 20/29

tan e= 21/20

7) x=47  (25tan(62))

8) x=25.1 (11/sin(26))

9) x=23.8 (32sin(48))

10) x=29.6 (29/cos(12))

11) x=21 degrees (invcos(14/15))

12) x=39.6 degrees (invtan(19/23))

13) x=58 degrees (invcos(9/17))

14) x=72.9 degrees (invsin43/45))

Step-by-step explanation:

good luck m8 it gets harder trust me

also srry if something is wrong im so exhausted thxbye

Answer:

155

Step-by-step explanation:

Since the question states that;

Maximum heart rate= 220 - athletes age

If athletes age = 26 years

Maximum heart rate= 220 - 26 = 194

Again;

athlete's target heart rate= 80% × Maximum heart rate

Athlete's target heart rate= 0.8 × 194= 155

Answer:

a

Step-by-step explanation:

Answer:

Z is the standard normal random variable. The table value for Z is the value of the cumulative normal distribution. For example, the value for 1.96 is P(Z<1.96) = . 9750.

Step-by-step explanation:

Z is the standard normal random variable. The table value for Z is the value of the cumulative normal distribution. For example, the value for 1.96 is P(Z<1.96) = . 9750.