What is the HCF of 62 and 24 ?

Answer:

c = 13

m∡A = 60°

m∡B = 30°

Step-by-step explanation:

This is a 5-12-13 triangle. However, to make sure, I will put the steps.

Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:

a² + b² = c²

Plug in the corresponding numbers to the corresponding variables:

5² + 12² = c²

Simplify. First, solve the exponents, and then add:

(5²) = 5 * 5 = 25

(12²) = 12 * 12 = 144

25 + 144 = c²

c² = 169

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:

√c² = √169

c = √169 = √(13 * 13) = 13

c = 13

13 is your answer for c.

Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).

Step-by-step explanation:

f(x) = 2x - 1

Putting value of x = - 8

f(-8) = 2(-8) - 1

= - 16 - 1

= - 17

Answer:

c will correct..

like

h² = p² + b²

14² = 74 + 122

196 = 196

Answer:

A is the correct answer!

Good luck on your test!

Answer: a

Step-by-step explanation:

$300 if 50 cars come to the car wash

at least 67 cars if they want to raise at least $400

Answer:

1.In the early 19th century, Napoleon's occupation of Spain led to the outbreak of revolts all across Spanish America. Miguel Hidalgo y Costilla—“the father of Mexican independence”—launched the Mexican rebellion with his “Cry of Dolores,” and his populist army came close to capturing the Mexican capital.

2.May marks two key anniversaries in the conflict between the United States and Mexico that set in motion the Civil War—and led to California, Texas, and eight other states joining the Union.

On May 13, 1846, the United States Congress declared war on Mexico after a request from President James K. Polk. Then, on May 26, 1848, both sides ratified the peace treaty that ended the conflict.

The conflict centered on the independent Republic of Texas, which opted to join the United States after establishing its independence from Mexico a decade earlier.

The new U.S. president, James K. Polk, also wanted Texas as part of the United States, and his predecessor, John Tyler, had a late change of heart and started the admission process before he left office. Polk and others saw the acquisition of Texas, California, Oregon, and other territories as part of the nation’s Manifest Destiny to spread democracy over the continent.

The U.S. also tried to buy Texas and what was called “Mexican California” from Mexico, which was seen as an insult by Mexico, before war broke out.

Mexico considered the annexation of Texas as an act of war. After a series of border skirmishes, President Polk asked Congress for the war declaration because, under Article I, Section 8 of the Constitution, only Congress could declare war.

In the fighting that followed, the mostly-volunteer United States military secured control of Mexico after a series of battles, and the Treaty of Guadalupe Hidalgo was signed on February 2, 1848.

It was the first large-scale success of a United States military force on foreign soil.

Mexico received a little more than $18 million in compensation from the United States as part of the treaty.

The pact set a border between Texas and Mexico and ceded California, Nevada, Utah, New Mexico, most of Arizona and Colorado, and parts of Oklahoma, Kansas, and Wyoming to the United States. Their transfer to the United States’ control also cut the territorial size of Mexico in half.

On the surface, the war’s outcome seemed like a bonanza for the United States. But the acquisition of so much territory with the issue of slavery unresolved lit the fuse that eventually set off the Civil War in 1861. But the underlying issue was how adding new states and territories would alter the balance between free and slave states was critical.

On the battlefield, Robert E. Lee, Ulysses S. Grant, and Stonewall Jackson were among those who served in the war against Mexico who would later gain prominence in the American Civil War.

The value of y in the coordinates of point W is 3

The points are given as:

[tex]S = (-5,0)[/tex]

[tex]T = (5,2)[/tex]

[tex]V = (0,-2)[/tex]

[tex]W = (-1,y)[/tex]

Start by calculating the slope of line ST

[tex]m=\frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m=\frac{2- 0}{5--5}[/tex]

[tex]m=\frac{2}{10}[/tex]

[tex]m=\frac{1}{5}[/tex]

Next, calculate the slope of line VW

[tex]m=\frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{y --2}{-1-0}[/tex]

[tex]m = \frac{y +2}{-1}[/tex]

[tex]m = -y -2[/tex]

Since both lines are perpendicular, then the product of the slopes is -1.

So, we have:

[tex]\frac 15 \times (-y -2) = -1[/tex]

Divide both sides by -5

[tex]y +2 = 5[/tex]

Subtract 2 from both sides

[tex]y = 3[/tex]

Hence, the value of y in the coordinates of point W is 3

Read more about line coordinates at:

https://brainly.com/question/2037439

Answer:

W=3

Step-by-step explanation:

Answer:

176

hope it helps :)

mark brainliest!!

Answer:

60

Step-by-step explanation:

10 ×6

that is the simple answer to your question

Answer:

The answer is 72%

Step-by-step explanation:

54 out of 75 is a percentage of 72%.

[tex]\frac{54}{75} = 72[/tex]

Mark me brainliest if possible, it's always appreciated!

Hope this helps!

Have a great day/night/afternoon!

- ❤ 7272033Alt ❤

Answer:

y = x + 8

Step-by-step explanation:

find slope first:

m = 7-5 / -1-(-3)

m = 2 / 2

m = 1

now find the y-intercept using either ordered pair; plug 'y', 'x', and 'm' into

y = mx + b  to solve for 'b'

7 = 1(-1) + b

7 = -1 + b

8 = b

put 'm' and 'b' into slope-intercept equation of a line, y = mx + b to get:

y = x + 8

Answer:

3200/4500=71.1%

so a 29.9% drop

Hope This Helps!!!

Answer:

-127 is colder

Step-by-step explanation:

-54 is closer to 0 than -127 so -127 is colder

They are both negatives BUT! -127 is greater than -54 and the 0 is the begginging of frezing point

Answer:

Reese's puffs Reese's puffs

We conclude that the triangles are congruent, so the statement is true.

We can see two right triangles ABC and DEF.

In the diagram, we can see that BA = CE, and BC = EF.

And because both are right triangles, we can conclude that FD is equal to AC.

So the 3 sides are equal in both triangles, then we can conclude that the triangles are congruent.

If you want to learn more about congruent figures:

https://brainly.com/question/1675117

#SPJ5

F - 1.47

The largest box represents 100 small cubes or 1. The four pillars represent 10 and there is four of them so it is 40. Then, the individual cubes are 7. So, 1.47.

Answer:

$40

Step-by-step explanation:

Answer:

56/34 = [tex]\frac{28}{17}[/tex] or [tex]1\frac{11}{17}[/tex] or 1.65

Answer:

56/34=1.65 or 1 [tex]\frac{13}{20}[/tex]

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

New value =

225 - Percentage decrease =

225 - (24% × 225) =

225 - 24% × 225 =

(1 - 24%) × 225 =

(100% - 24%) × 225 =

76% × 225 =

76 ÷ 100 × 225 =

76 × 225 ÷ 100 =

17,100 ÷ 100 =

171

Answer:

i feel like its A or D i could be wrong but i believe its one of the two

Answer:

true

depending on how complete the table of values is.

Answer:

I think the answer would be +15.

Step-by-step explanation:

The change in points in the most recent round as an integer is given by 15 points.

Given is Nguyen played a game in which he could either lose or gain points each round. at the end of 7 rounds, he had -8 points. After one more round, he had 7 points.

Assume that the change in points in the most recent round as an integer is given by [ΔR].

At -

R{7} = - 8 points

R{8} = 7 points

ΔR = R{8} - R{7}

ΔR = 7 - (- 8)

ΔR  = 7 + 8

ΔR  = 15 points

Therefore, the change in points in the most recent round as an integer is given by 15 points.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

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Answer:

13°

Step-by-step explanation:

Since these are complementary angles, we can add them together, set it equal to 90, and solve for x:

[Equation] (-6x + 53)° + (-9x + 22)° = 90°

[Distribute] -6x° + 53° + -9x° + 22° = 90°

[Combine like terms] 15x° + 75 = 90°

[Subtract 75 from both sides] 15x° = 15

[Divide both sides by 15] x = 1°

Then, plug-in our x for angle ADC:

[Given] (-9x + 22)°

[Distribute] -9x° + 22°

[Subsititue / plug-in] -9(1)° + 22°

[Multiply] -9° + 22°

[Combine like terms] 13°

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

246,588 rounded to the nearest 10 thousands place is 250,000

Answer:

The total would come out to be $105.66

Step-by-step explanation:

Answer:

87.50%5=17.50=5%

Step-by-step explanation:

87.50%5=17.50      

17.50x3=52.5

52.50

Answer:

Happy

Step-by-step explanation:

If asking how many 1/2 a yard(s) are in a whole yard your answer is 2, because 1/2 + 1/2 = 1