The length of the smallest side (or leg) of a right triangle is 6. The lengths of the other two sides are consecutive even integers. Use the Pythagorean theorem to solve for the smaller of the two missing sides (the second leg).

Answer:

Step-by-step explanation:

MN/sin72=10/sin18

MN=30.8

Given:

Base angle of an isosceles triangle is 15 degrees more than its vertical angle.

To find:

The measure of each angle of the triangle.

Solution:

Let x be the vertical angle. Then,

One base angle = x+15 degrees

We know that base angles of an isosceles triangle are equal.

Another base angle = x+15 degrees

Now, the sum of all angles of a triangle is 180 degrees by the angle sum property.

[tex]x^\circ+(x+15)^\circ+(x+15)^\circ=180^\circ[/tex]          (Angle sum property)

[tex](3x+30)^\circ=180^\circ[/tex]

[tex]3x+30=180[/tex]

[tex]3x=180-30[/tex]

[tex]3x=150[/tex]

Divide both sides by 3.

[tex]x=\dfrac{150}{3}[/tex]

[tex]x=50[/tex]

The measure of base angles is

[tex](x+15)^\circ=(50+15)^\circ[/tex]

[tex](x+15)^\circ=65^\circ[/tex]

Therefore, the measure of angles are 50°, 65° and 65°.

Answer:1120 dollars. Δ

Step-by-step explanation:You will pay $1120 for a item with original price of $1400 when discounted 20%. In this example, if you buy an item at $1400 with 20% discount, you will pay 1400 - 280 = 1120 dollars.

#I hope this helps!!!

~Regards~

44014137

Answer:

3.162278

Step-by-step explanation:

√10= 3.16227766

then find the millionths place which is 3.16227766

then you round that number based on the number to the right of it which is a 6 so you round it up

so the answer is 3.162278

9514 1404 393

Answer:

  26.13 ft²

Step-by-step explanation:

The total area is twice the area of the right triangles plus half the area of a circle of radius 3 ft.

  Semicircle area = (1/2)(πr²)

  semicircle area = (1/2)(3.14)(3 ft)² = 14.13 ft²

The area of the two right triangles is ...

  total triangular area = (3 ft)(4 ft) = 12 ft²

Then the area of the figure is ...

  figure area = semicircle area + total triangular area

  = 14.13 ft² + 12 ft² = 26.13 ft²

Answer: 26.13

Step-by-step explanation:

A perimeter is a sum of lengths of sides of a lateral.

[tex]2x+7+3x+8=5x+15[/tex].

[tex]area = \pi {r}^{2} [/tex]

[tex]area = (3.14) {(6)}^{2} [/tex]

[tex]area = (3.14)(36)[/tex]

[tex]area = 113.04 \: yd[/tex]

Answer:

1. one solution

2. one solution

3. no solution

Step-by-step explanation:

1. x = 0

2. x = -¾

3. 0

Answer:

1.one solution

2.one solution

3. no solution

4. infinitly solution

Step-by-step explanation:

Answer:

The required answer is 7.

Step-by-step explanation:

=10*70/100

=7

Answer:

Step-by-step explanation:

I assume the figures are parallelograms, then

1). KL = MJ and

12x - 22 = 7x - 2

12x - 7x = 22 - 2

5x = 20

x = 4

2). m∠RQT + m∠QTS = 180°

(The picture is not clear and I might be wrong about coefficients by x for ∠RQT and ∠QTS)

(3x + 5)° + (9x - 17)° = 180°

12x - 12 = 180

12x = 192

x = 16

Answer:

The second top one. if they have ANY repeating y values its not a function

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

4x + 2 = 2(x + 6)

4x + 2 = 2x + 12 (after you distribute the 2)

add and subtract like terms

4x - 2x = 12 - 2

2x = 10

x = 5

you can double check by substituting the x with 5 in the equation

4 (5) + 2 = 2(5 + 6)

20 + 2 = 2(11)

22 = 22

Answer:

23 Points

Explanation:  

The answer you are looking for is 23 points per game.

To find this answer, you simply divide 138 by 6.

I hope this helps!

Answer:  

11/9

hope this helped :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

11 / 12 = 0,91 and a periodic 6

3 / 4 = 0,75

11 / 12 = 3 / 4 = 0,916 ÷ 0,75

Answer:

Lowest boiling point = helium.

Highest boiling point = fluorine

Step-by-step explanation:

Given :

fluorine -180

hydrogen -253

argon -186

helium -269

nitrogen -196

neon -246

Arranging the boxing points of each chemical element on a number line, the least which will be located to the leftmost part is Helium with a boiling point of - 269 ; while the highest will be fluorine which is - 186°C

9514 1404 393

Answer:

  b)  -9.8t +18

Step-by-step explanation:

b) The instantaneous rate of change is the derivative of the height function. The power rule is separately applied to each term, and the results added.

  power rule: d/dx(x^n) = nx^(n-1)

Then the derivative is ...

  dh/dt = 2(-4.9t^1) +18(1 ·t^0)

  dh/dt = -9.8t +18

__

If you haven't been introduced to derivatives as such, then you find the instantaneous rate of change by finding the average rate of change over a vanishing interval.

  [tex]\dfrac{dh}{dt}=\displaystyle\lim\limits_{h\to 0}{ \dfrac{h(t+h)-h(t)}{h}}\\\\\dfrac{dh}{dt}=\lim\limits_{h\to 0}\dfrac{(-4.9(t+h)^2+18(t+h)+23)-(-4.9t^2+18t+23)}{h}\\\\\dfrac{dh}{dt}=\lim\limits_{h\to 0}\dfrac{-4.9(2th+h^2)+18h}{h}=\lim\limits_{h\to 0}{(-9.8t +18 -4.9h)}\\\\ \boxed{\dfrac{dh}{dt}=-9.8t +18}[/tex]

Answer: -26

Step-by-step explanation: hope this helps :)

Answer:

The second option, [tex]\frac{\sqrt{15}}{7}[/tex]

Step-by-step explanation:

Edge '21

The equation for cot θ is √15/7. Therefore, option B is the correct answer.

Given that, cosec θ=8/7.

We need to find the ratio of cot θ.

The ratio of cot θ is cot θ=Adjacent/Opposite.

As we know, cosec θ=Hypotenuse/Opposite.

So, 7²+x²=8²

⇒x=√15

Now, cot θ=√15/7.

The value of cot θ is √15/7. Therefore, option B is the correct answer.

To learn more about trigonometric ratios visit:

https://brainly.com/question/1201366.

#SPJ5

Answer: C

Step-by-step explanation:

1 lb = 16 oz

2 lb = 32 oz

18 oz = 18 oz

49 oz = 49 oz

I am not a professional, I am simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

Answer:

(6, -3)

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

Answer: 42.5ft

Step-by-step explanation: The wording in your question is a little unclear. I assume that you are looking for how far the anchor line is from the base of the tower.

If so, you can use the Pythagorean Theorem.

a^2 + b^ = c^2

96^ + b^2 = 105^2

Solve for b, gives you about 42.53ft round up and it is 42.5 ft :)

Happy to help

Answer:

There is no angle E in the quadilateral presented in the question. Also, the angles he used are not on opposite side.

Step-by-step explanation:

To classify a quadrilateral is a parallelogram, a quadrilateral with both pairs of opposite sides must be parallel or congruent, that is in a quadrilateral ABCD, angle AB must equal CD and angle AD must equal BC.

Hence, when Felix said quadrilateral ABCD is a parallelogram because of BE = DE. His error was that "there is no angle E in the quadrilateral presented in the question and the angle he used are not on opposite side"

Activity 3.

Convert the following to the indicated measurement:

1. 86 km = 8600 dam

9. 6, 600 min = 110 htlrs

10. 415° F = 212.778° c

2. 2 mi = 126720 in

3. 20 in = 50.8 cm

11. 130 °C = 266° F

4. 25.1 gal = 100.4 qt

12. 2.3 gallon = 9.2 qt

5. 45 acre = 0.174 square km

13. 632 ft = 4.937 cords

6. 67.33 qt = 16.832 gallons

14. 5.1 lb = 35700 grains

7. 90.67 km = 9067 hectares

15. 1,800 oz = 51.029 kilograms

8. 6 days = 144 hours = 8640 minutes

(Please heart the answer if you find it helpful, it's a motivation for me to help more people)

Answer:

$24.75

Step-by-step explanation:

4/5 of 13.75 = 11

11+13.75= 24.75

Dana  spends $24.75 in all.

An equation is a mathematical statement that equates two algebraic expression by an equal sign.

The data given in the question is

Dana spends $13.75 on a teacup for her grandmother

She spends 4/5 of that on a coffee mug for her grandfather.

The total amount  she spends is given by $x

The equation becomes

x = 13.75 + (4/5) * 13.75

x = $24.75

Therefore she spends $24.75 in all.

To know more about Equation

https://brainly.com/question/10413253

#SPJ2

Answer:

21

Step-by-step explanation:

so if the ratio is 3:4

then we can also write the ratio as 3x:4x

where the total is 7x marbles and we see we have to chose the one that is divisible by 7 which is 21.

if my answer helped please mark as brainliest.

Answer:

the answer should be 16!

Answer:

to guarantee equality for all

Step-by-step explanation:

The league of nations was created to prevent another global war

Answer:

6.25

Step-by-step explanation:

Answer:

Here the most appropriate answer is '>'

Thus it will be 0.248 > 0.259