C. Multiple Choice. Read each Item Carefully. Choose the letter of the correct answer then write it on the
space provided for. (Use figures 1, 2 and 3 for item #s 11-15.)
figure 1 figure 2 figure 3

___________11. What is the side corresponding to PO in ΔPOG ≅ ΔSOR (figure 1)?
A. OS B. RD C. RS D. SO
____________12. Name the congruent triangle illustrated in figure 1
A. ΔFOG ≅ ΔSOR B. ΔPOG ≅ ΔROS C. ΔROS ≅ GOS D. ΔPOR ≅ ΔGOS
____________13. What is the triangle congruence postulate used in figure 2 based on its marking.
A. SSS postulate B. ASA Postulate C. SAS Postulate D. AAA postulate
____________14. Based on the given marking in figure 3, what is the triangle congruence postulate is used in
describing triangle.
A. SSS postulate B. ASA Postulate C. SAS Postulate D. AAA postulate
___________15. In figure 3, If triangle ΔABC ≅ ΔXYZ. What is the congruent angle of ∠A?
A. ∠B B. ∠X C. ∠Z D. ∠B

Answer:

55°

Step-by-step explanation:

x+x-20=90[Complementary angle]

or, 2x-20=90

or, 2x=90+20

or, 2x=110

or, x=110/2

x=55°

Answer:

y = 5x + 12

Step-by-step explanation:

Answer:

8 to 40

6:30

2/10

Step-by-step explanation:

To check if this is the answer you can multiply the first number of each of these ratios by 5. (We multiply them by five because it is the second number in the ratio 1:5)

8 times 5 equals 40 -so this one is right

6 times 5 equals 30 -yep this one is right too

2 times 5 equals 10 -yeperdoodle

Yeah..so these are the answers! let me know if this helps you out.

All rations equivalent to 1:5:

~6:30

~2/10

~8 to 40

Hopefully this helped-have a good day)

Answer:

HOW TO:

GIVEN A POLYNOMIAL EXPRESSION, FACTOR OUT THE GREATEST COMMON FACTOR.

Answer:

62.83

Step-by-step explanation:

C=2πr=2·π·10≈62.83185ft

Answer:

240

Step-by-step explanation:

Answer:

3/5 < 3/3

Step-by-step explanation:

3/3 = 1 whole (1)

3/5 = 0.6

Answer:

I am sorry just today we start this lesson

Equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,

[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]

The pH value is the measurement of the water, as it is acidic or basic in nature and amount of it. If the value of pH value is more than 7, the water is basic in nature and if less than 7, the water is acidic.

Given information-

The equation for the pH of a substance is,

[tex]pH = -\log[H^+ ],[/tex]

Here, [tex]H[/tex]hydrogen ions.

The pH value of the solution is 7.2.

The pH value of the solution is given, and the concentration of hydrogen ions has to be find out (in equation model form).

The given equation for pH of the substance is,

[tex]pH = -\log[H^+ ],[/tex]

It can be written as,

[tex]-pH = \log[H^+ ],[/tex]

The pH value of the solution is 7.2. Put the value as,

[tex]-7.2 = \log[H^+ ][/tex]

Rewrite the above equation as,

[tex]\log[H^+ ]=-7.2[/tex]

Using the log property the, above equation can be written as,

[tex][H^+ ]=10^{-7.2}[/tex]

Solve it further as,

[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]

[tex][H^+ ]=6.3095\times10^{-8}[/tex]

Thus, equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,

[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]

Learn more about the pH value here;

https://brainly.com/question/1810086

Variance is average of squared error of observations from mean. The variance of given data is 5.2

Variance is average of squared error of observations from mean.

then its variance is given as:

[tex]\sigma^2 = \dfrac{1}{n} \sum_{i=1}^n(x_i-\overline{x})^2[/tex]

The given data set is 4,7,4,10,5

Thus, n = 5 (total 5 observations (data values) )

Their mean is [tex]\overline{x} = 6[/tex] (it is taken as 'm', but for ease with formula, take it as [tex]\overline{x}[/tex] )

Thus, their variance is calculated as:

[tex]\sigma^2 = \dfrac{1}{n} \sum_{i=1}^n(x_i-\overline{x})^2 \\\\\sigma^2 = \dfrac{(4-6)^2 + (7-6)^2 + (4-6)^2 + (10-6)^2 +(5 - 6)^2}{5} \\\\\sigma^2 = \dfrac{4 + 1 + 4 + 16 + 1}{5} = \dfrac{26}{5} = 5.2[/tex]

Thus,

The variance of given data is 5.2

Learn more about variance here:

https://brainly.com/question/3699980

Answer:

d

Step-by-step explanation:

Answer:

or, 2x=4x+8

or, -2x=8

or, x=-4

Given Equation :-

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow 2x -2 = 4x +6} [/tex]

Let's overturn the equation –

[tex]\qquad[/tex][tex] \sf \longrightarrow 4x +6 = 2x -2 [/tex]

Subtract 2x from both side –

[tex]\qquad[/tex][tex] \sf \longrightarrow 4 x +6 -2x = 2x -2 -2x[/tex]

Cancel 2x from right side & also simplify this equation

[tex]\qquad[/tex][tex] \sf \longrightarrow 4 x +6 -2x =\cancel{ 2x} -2 -\cancel{2x}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +6 = -2 [/tex]

Now, subtract 6 from both side

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +6 -6 = -2-6[/tex]

Once again, cancel 6 from left side –

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +\cancel{6} -\cancel{6} = -2-6[/tex]

On simplification –

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = -8[/tex]

Now, divide both sides by 2

[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{2x}{2} = \dfrac{-8}{2}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{\cancel{2}x}{\cancel{2}} =\cancel{ \dfrac{-8}{2}}[/tex]

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow x = -4} [/tex]

Answer:

  x = 6

Step-by-step explanation:

The angle bisector divides the triangle sides proportionally:

  (6x -1)/42 = (10x +5)/78

  13(6x -1) = 7(10x +5) . . . . multiply by 546 (the LCM of 42 and 78)

  78x -13 = 70x +35 . . . . . eliminate parentheses

  8x = 48 . . . . . . . . . . . . . . add 13-70x

  x = 6 . . . . . . . . . . . divide by 8

_____

Additional comment

The unknown segment lengths are ...

  6·6 -1 = 35

  10·6 +5 = 65

Then the ratios to the known sides are ...

  35/42 = 65/78 = 5/6

it is the first one

Step-by-step explanation:

because I used my brain and its correct

Answer:

the first one is correct i believe

Answer:

(9,3)

Step-by-step explanation:

Answer:

x=9,y=3

Step-by-step explanation:

Answer:

6^2

Step-by-step explanation:

When they are divided, just subtract the exponents. 5 - 3 = 2

Answer:

106°

Explanation:

(360*3) -974 = 106°

Endless extra value's:

Positive coterminal angles: 106°, 466°, 826°, 1186°, 1546°...

Negative coterminal angles: -254°, -614°, -974°, -1334°...

But here the range is only from 0° ≤ ∅ < 360°, so only 106° is applicable.

Answer:

explanation is in the diagram

Answer:

the correct answer is 3

Step-by-step explanation:

4x+24-2=7(4x+2)

4x+22=7*4x+2*7

4x+22=28x+14

4x-28x=14-22

-24x=-8

24x=8

x=3

(5X5) - (2+3+5)

25- 10

=15

Please mark as Brainliest!

Answer:

[tex]3-\sqrt{2[/tex]

Step-by-step explanation:

your answer is....

27(3y+2)

Answer:

down below

Step-by-step explanation:

1) when x is increasing, the function is decreasing

2)

The wording is a bit weird and I think the "for the next 10 hours." is extra infomation. so 3*5=15 degress dropped. 75-15=60

3) when it is the y intercept, x is equal to 0

2y=8

x=4
(0,4) is the y-intercept

4)
divide the equation by 3
y+2x=2

so the points are like (0,4), (1,2), (2,0)

You could figure out the rate of change

5)1

0+5x=100

5x=90

x=18

18 weeks
btw x are weeks

6)

4000/100=40 hours.

there you go the steps and then the solution

Answer:

4th answer I believe

hope this helps

Answer:

12

Step-by-step explanation:

Answer:

214.50

Step-by-step explanation:

A = lw

13 x 11 = 143 (13 is a guess)

143 x 1.50 = 214.50

im not 100 % but give it a try

hope this helps

pls mark brainliest