What is the measure of angle 1? A triangle has angles 29 degrees, 65 degrees, and 2. The exterior angle to angle 2 is 1. 36° 86° 89° 94°.

The solution of   [tex]\rm log(2t+4)=log(14-3t)[/tex]  is t=2

It is given that:

[tex]\rm log(2t+4)=log(14-3t)[/tex]

It is required to find the value of 't'.

It is another way to represent the power of numbers ie.

[tex]a^b=c\\log_ac=b[/tex]

We have:

[tex]\rm log(2t+4)=log(14-3t)[/tex]   [tex]\rm (Taking \ log_1_0 \ base \ and \ removing \ the \ log_1_0 \ from \ both \ the\ side)[/tex]

We will get:

[tex]\rm 2t+4=14-3t\\\rm 5t=10\\\rm t=2[/tex]

Therefore the solution of   [tex]\rm log(2t+4)=log(14-3t)[/tex]  is t=2

Learn more about the Logarithm here.

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Answer:

x = 11

Step-by-step explanation:

Given;

[tex]x-\frac{1}{x}=3[/tex]

Squaring equation;

[tex](x-\frac{1}{x})^2=3^2[/tex]

[tex]x^2+\frac{1}{x}^2-2*x*(\frac{1}{x})=9[/tex]

By algebraic identity :

[tex](a-b)^2=a^2+b^2-2ab[/tex]

Substitute

[tex]x^2+\frac{1}{x}^2 - 2 = 9[/tex]

Add

[tex]x^2 + \frac{1}{x}^2 = 9 +2[/tex]

Simplify

[tex]x^2 + \frac{1}{x}^2 = 11[/tex]

Hence, x = 11.

~Learn with Lenvy~

Answer:

for (3,4) you would go 3 to the right on the x-axis and 4 units up

for (-2,1) you would go 2 to the left on the x-axis and one unit up

for (7,-6) you would go 7 to the right on the x-axis and 6 units down

Answer:

input the formula of acceleration and the the answer will be

8.928571429

f(x) = 2 ( x² + 8x ) - 7

     = 2 [(x + 4)² - 4²] - 7

     = 2 (x + 4)² - 32 - 7

     = 2 (x + 4)² - 39

(x+4)² = x² + 2*x*4 + 4² = x² + 8x + 4²

it's why

x² + 8x = (x + 4)² - 4²

Answer:

y=2(x+4)^2−39

Step-by-step explanation:

Based on my calculation that´s the answer :-)

Answer:

$1.33

Step-by-step explanation:

27.93:21

Divide 27.93 by 21.

Answer:

1. LP

2. QR

3. LM

4. SNM

Step-by-step explanation:

hope this helps

Answer:

8

Step-by-step explanation:

Answer:5/6

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

Answer:

45°, 90°, 135°, 180°, 225°, 270°, 315

Step-by-step explanation:

Answer:

He does not divide the numerator and the denominator by the same number. Nicholas divides 20 by 5 and 30 by 6. He ought to have divided 30 by 5 as well and then simplified.

P.S. Nicholas should have just divided both 20 and 30 by 10 to simplify in one step

[tex] \underline \mathcal \pink{ GIVEN}[/tex]

[tex] \underline \mathcal \purple{ TO \: FIND}[/tex]

[tex] \underline \mathcal \blue{CALCULATION}[/tex]

[tex] \qquad \tt \leadsto \: area = \frac{1}{2} \times base \times height[/tex]

[tex] \qquad \bf \nrightarrow \: area = \frac{1}{ \cancel2} \times \cancel2 \frac{9}{10} \times 4 \frac{6}{7} [/tex]

[tex] \qquad \bf \nrightarrow \: area = \frac{9}{ \cancel{10}} \times \cancel4 \frac{6}{7} [/tex]

[tex] \qquad \bf \nrightarrow \: area = \frac{9}{ 5} \times 2 \frac{6}{7} [/tex]

[tex] \qquad \bf \nrightarrow \: area = \frac{108}{ 35} \approx3.08 \: {km}^{2} [/tex]

Thus, The area of the triangle is 3.08 kilometers...~

Answer:

6

Step-by-step explanation:

Cone volume : V = pi r² . h/3

radius = sqrt ((3V) / (pi.h))

radius = sqrt ((3 x 640.56) / (17 x 3.14))

radius = sqrt ( 1921.68 / 53.38 )

radius = sqrt ( 36 )

radius = 6

Answer:

es 3

Step-by-step explanation:

Para encontrar el mcd de 9 y 57:

Los factores de 9 son 9, 3, 1.

Los factores de 57 son 57, 19, 3, 1.

Los factores en común de 9 y 57 son 3, 1, los cuales intersectan los dos conjuntos arriba.

En la intersección de los factores de 9 ∩ factores de 57 el elemento mayor es 3.

Por lo tanto, el máximo común divisor de 9 y 57 es 3.

Answer:

3

Step-by-step explanation:

9's multiples are 1, 3, and 9. 57's multiples are 1, 3, 19, and 57. The greatest common factor is 3 since that is the highest factor they share.

Answer:

XM = 7

Step-by-step explanation:

M is the midpoint of XY , thus

XM = MY ( given XY is 7 ) , then

XM = 7

Answer:

$18

Step-by-step explanation:

2 software packages + 5 months of gameplay = $130

$40 + 5 months of gameplay = $130

5 months of gameplay = $90

1 month of gameplay = $18

Answer:

18 dollars

Step-by-step explanation:

m = months of game play

130 = (20 + 1m) + (20 + 4m)

130 = 40 + 5m

90 = 5m

18 = m

Hope that helps and have a great day! If ya want me to explain more let me know.

Answer:

The slope is 2/3

Step-by-step explanation:

you need to use the equation y=rise over run, so the equation would be 2-4 over -2-1 and that would equal 2/3 and to graph you just need to find the y-intercept and put it together with the slope y=2/3+b

Answer:

A: vertical angles

B: corresponding angles theorem

C: transitive property

Step-by-step explanation:

Answer:

A: vertical angles

B: corresponding angles theorem

C: transitive property

Step-by-step explanation:

Given:

The measure of the first angle is 40° less than the measure of the second.

To find:

The measures of the complementary angles that satisfy the given condition.

Solution:

Let the measure of first angle be x°.

According to the given condition,

First angle = Second angle - 40°

[tex]x^\circ =\text{Second angle}-40^\circ [/tex]

Add 40° on both sides.

[tex](x+40)^\circ =\text{Second angle}[/tex]

We know that, sum of complementary angles is 90°. So,

First angle + Second angle = 90°

[tex]x^\circ +(x+40)^\circ =90^\circ [/tex]

[tex]2x^\circ +40^\circ =90^\circ [/tex]

[tex]2x^\circ =90^\circ -40^\circ [/tex]

[tex]2x^\circ =50^\circ [/tex]

Divide both sides by 2.

[tex]x^\circ =25^\circ [/tex]

So, the measure of first angle is 25°.

[tex](x+40)^\circ =(25+40)^\circ =65^\circ[/tex]

So, the measure of second angle is 65°.

Simple interest formula:

Total = start value x (1 + (rate x time))

Total = 13,000 x (1 + (0.047 x 6))

Total = 13000 x 1.282

Total = £16,666

Complete question is;

Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units. From the net, we can see that there are six equal faces and so we get the total surface area is 6 × 16 = 96 square units.

Find the total surface area of the rectangular prism attached.

Answer:

72 cm²

Step-by-step explanation:

From the rectangular prism attached, we can see that it has 6 sides.

Now, each side has a mirrored part which is of same dimensions with it.

Thus, unfolding to get a net, we have;

2 faces with dimension: 3cm × 6cm

2 faces with dimension: 2cm × 6 cm

2 faces with dimension: 2cm × 3cm

Thus,total surface area is;

2(3cm × 6cm) + 2(2cm × 6cm) + 2(2cm × 3cm) = 36 + 24 + 12 = 72 cm²

Answer: d

Step-by-step explanation: l

Answer:

Ans B should be correct.

Answer:

dy/dx = x d/dx (sinx)+ sinx d/dx(x)

= x.cosx + sinx

= sinx + xcosx

so option B

Answer:

y =  -2

Step-by-step explanation:

To find the answer, use property of inequality:

10-5y=20
Undo the +10, so - 10 to the other side
so,
-5y= 10, or -5xY.

so divide by -5 from both sides:

10/-5=-2
so, the remain of the equation is:
y = -2
which is the answer

Answer:

Your answer would be:
C.) The sum of the measures of the angles is greater than 360 degrees

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Among all there is no condition which will not create a gap or an overlap at a vertex of polygon.

A polygon is a plane figure that is having finite number of sides which are connected to form a closed figure.

In this we have two cases:

case 1: If the polygons are regular.

The sum of all the angles is equal to 360°.

For example: Consider a quadrilateral polygon whose four sides are congruent and each angle is 90°. Then the sum of angles is 90+90+90+90=360°.

case 2: If the polygons are not regular

We know that sum of angles can be found by (n-2)*180°

Suppose polygon is 3 sided so the sum will be (3-2)*180=180° which is less than 360°.

Suppose polygon is 6 sided so the sum will be (6-2)*180°=720° which is greater than 360°.

Hence there is no condition which will not create a gap or an overlap at a vertex of polygons.

Learn more about polygons at https://brainly.com/question/1592456

#SPJ2    

Answer: The cat's weight is 4.33 pounds

• The dog's weight is 17.32 pounds.

Step-by-step explanation:

Let the weight of the cat be represented by a.

Devi’s dog weighs 4 times as much as her cat. This can be written as:

= 4 × a

= 4a

Her dog also weighs 13 pounds more than the cat. This can be written as:

= a + 13

We then equate both equations. This will be:

4a = a + 13

4a - a = 13

3a = 13

a = 13/3

a = 4.33 pounds

The cats weight is 4.33 pounds

Since the dog's weight = 4a = 4 × 4.33 = 17.32 pounds