The ratio of the ages (in years) of two teachers is 8 : 9. The sum of their ages is 51. What is the age of each teacher?

Answers

Answer 1

Answer:

Check pdf

Step-by-step explanation:


Related Questions

4 markers cost $7.04.
Which equation would help determine the cost of 7 markers?

Answers

Answer:

(7.04 / 4 = x) then x * 7

Step-by-step explanation:

x= 12.32

Please don’t answer if you don’t understand this

Name the angles and sides of each pair of triangles that are congruent.

Answers

Answer:

Corresponding parts are congruent

ΔGHF ≅ ΔGHL

Congruent parts:

Sides

GH ≅ GH, HF ≅ HL, GF ≅ GL

Angles in simple form

∠H ≅ ∠H, ∠F ≅ ∠L, ∠G ≅ ∠G

Angles in full format

∠GHF ≅ ∠GHL, ∠GFH ≅ ∠GLH, ∠FGH ≅ ∠LGH

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

ΔWXY ≅ ΔDCY

Congruent parts:

Sides

WX ≅ DC, XY ≅ CY, WY ≅ DY

Angles in simple form

∠X ≅ ∠C, ∠Y ≅ ∠Y, ∠W ≅ ∠D

Angles in full format

∠WXY ≅ ∠DCY, ∠WYX ≅ ∠DYC, ∠XWY ≅ ∠CDY

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

ΔCBD ≅ ΔJKL

Congruent parts:

Sides

CB ≅ JK, BD ≅ KL, CD ≅ JL

Angles in simple form

∠B ≅ ∠K, ∠D ≅ ∠L, ∠C ≅ ∠J

Angles in full format

∠CBD ≅ ∠JKL, ∠CDB ≅ ∠JLK, ∠BCD ≅ ∠KJL

9514 1404 393

Answer:

angles: ∠GHF≅∠GHL, ∠F≅∠L, ∠FGH≅∠LGH; sides: GH≅GH, GF≅GL, HF≅HLangles: ∠W≅∠D, ∠X≅∠C, ∠XYW≅∠CYD; sides: WX≅DC, WY≅DY, XY≅CYangles:∠C≅∠J, ∠B≅∠K, ∠D≅∠L; sides: CB≅JK, CD≅JL, BD≅KL

Step-by-step explanation:

The key with naming corresponding parts is to use the congruence (or similarity) statement. Corresponding vertices are those that are in the same position in the congruence statement, regardless of what the figure may look like.*

Angles can be named using the letter at its vertex--if there is only one angle with that vertex--or using three letters. The three letters name a point on one ray, the vertex, and a point on the other ray. When naming corresponding angles from a congruence statement, it is nice (but not absolutely essential) to name the corresponding rays in the same order. In any event, the named vertices must be corresponding.

Sides are named using two letters--the points at the end of the side. The points used to name corresponding sides must come from the same positions in the congruence statement. Technically, side named AB is the same as side BA, but it is nice to use corresponding points in the same order when naming corresponding sides. Example: in the first figure, CB≅JK, but it is also true that BC≅JK because CB can be named either as CB or BC. In both cases, the points named are the 1st and 2nd in the congruence statements.

In the answer section above, we have used 3-letter angles where a vertex is shared by two or more angles. We have used single-letter names for angles where there is no ambiguity. When asked to name all the names, as here, it is best to make use of a pattern you understand. For angles, we worked left-to-right down the congruence statement; for sides we used the pattern 12, 13, 23 for the positions of the letters in the congruence statement.

_____

* Sometimes, poorly-edited curriculum materials will misstate the congruence statement. It is best to report the problem to your teacher in those cases. Sometimes, the figure is intentionally misleading (as in the second problem here). For those, you must pay careful attention to the congruence statement.

Find all missing angles

Answers

1 = 51°
2 = 18°
3 = 123°
4 = 39°

At Shop A, 2 pounds of crawfish costs $6. At Shop B, 5 pounds of crawfish costs $15. Jacoby says the cost per pound is the same at both shops. Is Jacoby correct? Explain your reasoning.

Answers

Answer:

Jacoby is correct.

Step-by-step explanation:

Shop A= $6 ÷ 2 = $3/pound

Shop B= $15 ÷ 5 = $3/pound

What did this student do incorrectly to find the percent change from 14 dollars to 10 dollars?

Answers

Answer:

I don't know what he did wrong, but to work out the percentage change, you do 10 ÷ 14, which gives you 0.71.

1 - 0.71 = 0.29

0.29 × 100 = 29%  You multiply by 100 to get your percentage change value.

29% is the percentage change.

I hope this helps you!! ^-^

Jai bought 2 pounds of grapes for $2.49 per pound and 3 muffins for $ .75 per muffin. How much did he pay for the grapes and muffins?

Answers

Answer:

$7.23

Step-by-step explanation:

(2 x 2.49) + (3 x .75) = 4.98 + 2.25 = $7.23

Help Please!!! (gain 55 points)

Answers

Answer:

6yx

Step-by-step explanation:

Angle two is 88 angle one is 53 and angle three is 147

Pls fill in the blanks for brainliest. Cardiorespiratory Endurance is the ability of the ___ and the ___ to supply ___ to the body?

Answers

Answer:

heart,lungs,oxygen i know i took a test like that before

simple angle questoin

Answers

i’m not 100% sure but i thymine it is angle FEA

Answer:

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▀█▌░░░▄░▀█▀░▀ ░░ Copy and paste him so he can take over brainly.

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Can I please get help?

Answers

Please don’t open the file it a scam

HELP ASAP!! DUE IN 5 MINS AND WILL MARK BRAINLIEST!!!
3 attached

Answers

Answer:

We need help with the same thing girl/boy!!

Step-by-step explanation:

Answer:

10,13,12

Step-by-step explanation:

Which equation is equivalent to 2 - 2(3x - 1) = 2?
A.-6x = 2
B.-5x = 2
C.-6x + 4 = 2
D.-5x + 4 = 2

Answers

C would be the correct answer to this question.

PLS HELP ASAP! HURRY, GIVING BRAINLY!

Answers

The second answer I believe to be correct :)

Can someone help with this???

.... then which of the following is a solution for x?
(1) x = 5
(3) x = 7
(2) x = 6
(4) x = 8

Answers

Answer:

x=7

Step-by-step explanation:

The pattern is:  i^1 = i, i^2 = −1, i^3 = −i, i^4 = 1, i^5 = i, i^6 = −1 and repeats again, so x = 7 would be i^20 = [tex](i^{4} )^{5}[/tex] = 1^5 = 1

What is the ratio of the areas of two circles. The first circle with an area of 50.24 and the other with a radius 4 times that of the first.

Answers

Answer:

1:4

Step-by-step explanation:

Since the first circle has an area of 50.24 and the second circle is 4 times that, the ratio is 1:4 because for every 50.24 units of the first circle, there are 200.96 units of the second circle (which is 4 times the amount of the first circle).

What is the value of x? (attachment)

Answers

Answer:

[tex]5\sqrt{2}[/tex]

Step-by-step explanation:

In AVWX, mZV =
Find mZW.
(6x – 4),
m_W = (x + 12)°, and mZX = (3x + 2)°

Answers

Answer: XVW=36

Step-by-step explanation:

The external angle of triangle is equal to the sum of the 2 opposite interior angles.

WXY is an external angle to the triangle and

XVW and VWX are the 2 opposite interior angles, thus

6x - 19 = +17+ 3x+2, that is

6x- 19 =4x +19 (Subtract 4x from both sides)

2x - 19 =19 (add 19 to both sides by 2)

x = 19

Hence

XVW = x + 17 = 19 + 17 = 36

It takes an underwater vehicle 2 minutes to examine a square section of the seabed for every 5 m^2 of the area. Write a formula for the time T in minutes required to survey a square section of the sea fl oor with sides that are s meters long.

Answers

Answer:

T = [tex]\frac{2}{5} * S^2[/tex]

Step-by-step explanation:

For examining an area of 5 square meter, time take in 2 min

1 square meter of area can be examined in [tex]\frac{2}{5}[/tex] mins

s^2 square meter of area can be examined in [tex]\frac{2}{5} * S^2[/tex] mins

Thus, the formula for the time T in minutes required to survey a square section of the sea fl oor with sides that are s meters long is

T = [tex]\frac{2}{5} * S^2[/tex]

Stella is sawing boards to make a deck. What is the area of the deck?
11 ft
5,
3 ft
10 ft
A. 112.5 square feet
B. 87.5 square feet
C. 120 square feet
D. 95 square feet

Answers

Answer:

87.5

Step-by-step explanation:

The area of the deck is 87.5 square feet.

What is area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

The given figure, can be divided into two triangles and 1 rectangle.

Here, area of a triangle = 1/2 ×Base×Height

= 0.5×5×3

= 7.5 square feet

Area of right triangle = 1/2 ×5×10

= 25 square feet

Area of a rectangle = Length×Breadth

= 11×5

= 55 square feet

Total area = 55+25+7.5

= 87.5 square feet

Therefore, the area of the deck is 87.5 square feet.

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ2

How many days in 33 weeks?
Plss hellpppp....​

Answers

Answer:

There are 231 ;)

Step-by-step explanation:

Answer:

231:)

Step-by-step explanation:

Does the set of numbers form a Pythagorean triple? Explain.
3, 5, 6
Choose the correct answer below.
Yes, the given numbers do not satisfy the equation a? + b2 = c?
No, because the given numbers do not satisfy the equation a² + b2 = c2.
Yes, because the given numbers satisfy the equation a2 + b2 = c2
No, because the given numbers satisfy the equation a2 + b2 = c2

Answers

Answer:

NO

Step-by-step explanation:

Either 3, 5 and 6 satisfy the Pythagorean Theorem or they do not.  Here we start with a^2 + b^2 = c^2 and substitute 6 for c (because 6 is the largest of the set):  Is 3^2 + 5^2 = 6^2?  9 + 25 = 36?  NO

x represents a certain number. when the number is multiplied by 3 the result is the same as adding 34 to the number x​

Answers

Answer:

Equation: 3x = x + 34Solved: x = 17

Step-by-step explanation (how to solve):

Write an equation: 3x = x + 34Subtract x from each side, so it now looks like this: 2x = 34Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 17

I hope this helps!

The value of x is 17

What is Linear equation?

An equation between two variables that gives a straight line when plotted on a graph.

Given,

x represents a certain number

Number is multiplied by 3 = 3x

Adding 34 to the number = x+34

Given,

The number x is multiplied by 3 the result is the same as adding 34 to the number x​

Therefore

3x = x+34

3x-x =34

2x =34

x = 17

Hence, the value of x is 17

Learn more about Linear equation here

https://brainly.com/question/11897796

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Select the correct answer.
Select the place where the digit 6 sits in this number.

7,614,118,872

A.
hundred millions
B.
hundred billions
C.
one thousands
D.
hundred thousands
E.
ten billions
F.
one billions

Answers

It’s hundred millions A is correct

Answer:

A. Hundred millions.

Step-by-step explanation:

Growing up, the easiest method I've found in terms of finding which place a number is is as follows: change the number you're looking for into a 1, change everything after it into a 0, drop everything before it, and ask yourself what that number is. That may seem a little odd, but here's some examples.

Let's say we have the number 91,582. We want to figure out what place the 5 is in. First, let's change the 5 into a 1, like so: 91,182. Next, we'll change all the numbers afterwards into 0s, like so: 91,100. Finally, we'll drop every number before the 1, leaving us with 100. Now, ask yourself what that number is. It's one hundred. That means that the 5 is in the one hundreds place.

Let's apply this to our given number. First, let's go ahead and change our 6 into a 1: 7,114,118,872. Next, let's change all the numbers after the 1 into 0s: 7,100,000,000. Finally, let's drop all numbers before our 1: 100,000,000. Our final number is one hundred million. This means that the 6 is in the one hundred millions place. Please let me know if you have any questions!

What should be added to x2 +xy+y2 to obtain 3x2 - 4xy - y2​

Answers

Answer:

2x² - 5xy - 2y²

Step-by-step explanation:

Subtract x² + xy + y² from  3x² - 4xy - y² to obtain the expression to be added

3x² - 4xy - y² - (x² + xy + y² ) ← distribute by - 1

=3x² - 4xy - y² - x² - xy - y² ← collect like terms

= 2x² - 5xy - 2y²

Thus

adding 2x² - 5xy - 2y² to x² + xy + y² gives 3x² - 4xy - y²

Can somebody help me please

Hurry please

Answers

Answer:

Mean

I'm gonna take a guess

If f(x) = 2x^3 – 5x^2 + 5, then what is the remainder when f(x) is divided by
x + 2?

Answers

Answer:

Step-by-step explanation:

(2x³-5x²+5) ÷ (x+2) = 2x²-9x+18 R -31

The degree of polynomial 4x ^2 y+x^ 2 -2y ^2 is

Answers

Answer:

degree 3

Step-by-step explanation:

The degree of a polynomial is determined by the largest exponent of the term within the polynomial.

4x²y = 4x²[tex]y^{1}[/tex] ← with exponent 2 + 1 = 3

x² ← exponent 2

- 2y² ← exponent 2

The term with the largest exponent is 4x²y with exponent 3

Then the polynomial is of degree 3

Why is the applied effort only ½ of the weight to be lifted in the movable single pulley system?

Answers

Answer: I would find that the anwser would be, It requires only ½ the effort to lift the load because there is more than 1 rope arm.

Step-by-step explanation

Just took a test on this, I passed

Can you guys help out I these questions for a test

Answers

the first x < 3 so x could be from - 1 till 3 in this graph

the other x > - 7 so x could be from from - 7 till - 3 in this graph

Is there a triangle whose sides have lengths 12.2 cm, 6.8 cm and 6.5 cm. If not . Why?

Answers

Answer:

yes

Step-by-step explanation:

For the given sides to form a triangle.

The sum of any 2 sides must be greater than the third side.

12.2 + 6.8 = 19 > 6.5

12.2 + 6.5 = 18.7 > 6.8

6.8 + 6.5 = 13.3 > 12.2

Thus the 3 given sides form a triangle

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