Find the value for a.

Answer:

[tex]x = 25[/tex]

Step-by-step explanation:

The angles are vertical since they form from two lines crossing at a point and they share a same vertex.

Vertical angles are equal so

[tex]4x - 25 = 75[/tex]

[tex]4x = 100[/tex]

[tex]x = 25[/tex]

Step-by-step explanation:

In triangle ABC. In triangle DBC

AB. = DB.

[Given]

<ABC. = <DBC

[Given]

BC. = BC

[Common side]

Hence,

As two sides and one angle of triangle ABC and triangle DBC are equal.

Triangle ABC is congruent to Triangle DBC

Answer:

m<QPR = 25

Step-by-step explanation:

The sum of <RPS and <QPR make up 40 so:

8x + 7 + 9x + 16 = 40

17x + 23 = 40

17x = 17

x = 1

m<QPR:

9x + 16

9(1) + 16

25

Answer:

x>28

Step-by-step explanation:

x>7

4x>28

Answer:

[tex]V=868.13\ ft^3[/tex]

Step-by-step explanation:

Given that,

The side length of the base of the pyramid, a = 14.1 ft

The height of the pyramid, h = 13.1 ft

We need to find the volume of the pyramid. The formula for the volume of the square base pyramid is given by :

[tex]V=\dfrac{a^2h}{3}[/tex]

Put all the values,

[tex]V=\dfrac{(14.1)^2\times 13.1}{3}\\\\V=868.13\ ft^3[/tex]

So, the volume of the pyramid is equal to [tex]868.13\ ft^3[/tex].  

Answer:

14

Step-by-step explanation:

Answer:

-18 10

5 -3

Step-by-step explanation:

theres some formula that tells you the general rule for multiplying 2x2 matrices but I cant find it, try looking in your textbook or ask ur teacher

Answer:

6^21

Step-by-step explanation:

(6^7)^3 = 6^(7*3) = 6^21

Answer:

x = 108 because of supplementary angles

Step-by-step explanation:

Solving for x:

Since x and 72 are supplemenatry angles, they'll equal to 180, so:

x + 72 = 180

x = 180 - 72

x = 108

Answer:

141

Step-by-step explanation:

2*3=6

5*9=45

6*15=90

141

Answer:

add all the sides I guess...

Step-by-step explanation:

or you can break that figure into rectangles. then find their areas and later sum up all the areas and you'll have your area of this shape

Answer:

A. x¹/²

B. x¹/³

C. x¹/⁷

D. x⁵/²

E. x¹¹/³

F. 1 / x¹/⁴

G. 1 / x²/³

H. 1 / x⁹/²

Step-by-step explanation:

A. √x

Recall

√M = M¹/²

Therefore,

√x = x¹/²

B. ³√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

³√x = x¹/³

C. ⁷√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

⁷√x = x¹/⁷

D. √x⁵

Recall

√Mⁿ = Mⁿ/²

Therefore,

√x⁵ = x⁵/²

E. ³√x¹¹

Recall

ⁿ√Mᵃ = Mᵃ/ⁿ

Therefore,

³√x¹¹ = x¹¹/³

F. 1 / ⁴√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

1 / ⁴√x = 1 / x¹/⁴

G. 1 / ³√x²

Recall

ⁿ√Mᵃ = Mᵃ/ⁿ

Therefore,

1 / ³√x² = 1 / x²/³

H. 1 / √x⁹

Recall

√Mⁿ = Mⁿ/²

Therefore,

1 / √x⁹ = 1 / x⁹/²

Answer:

c

Step-by-step explanation:

(x²-3x+8)-(7x²-2x-1)

x²-3x+8-7x²+2x+1

x²-7x²-3x+2x+8+1

-6x²-x+9

tq

Answer:

21

Step-by-step explanation:

The amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we can assume that:

Then, as the total weight of the mixture is 5 lb, thus:

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

18% jasmine in 5 lb of mixture = 20% jasmine in x lb of first tea + 15% jasmine in y lb of second tea

Comparing in terms of weight, we get:

[tex]\dfrac{5}{100}\times 18 = \dfrac{x}{100} \times 20 + \dfrac{y}{100} \times 15\\\\90 = 20x + 15y\\18 = 4x + 3y[/tex]

Thus, we get a system of two linear equations as;

[tex]x + y = 5\\4x + 3y =18[/tex]

From first equation,  getting x in terms of y:

[tex]x = 5 -y[/tex]

Substituting this in second equation, we get:

[tex]4(5-y) + 3y = 18\\20-4y + 3y =18\\y = 2\\[/tex]

Putting this value in expression for x, we get:

[tex]x = 5-y = 5-2 = 3[/tex]

Thus, the amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.

Learn more about solutions of a system of linear equations here:

https://brainly.com/question/13722693

Answer:

She uses 8.52 kgs of flour in 8 days

There are 6.48 kgs of flour left over after 8 days.

Step-by-step explanation:

First, you need to multiply 1.065 by 8 to get how much flour she uses in 8 days.

1.065 times 8 is 8.52. She uses 8.52 kgs of flour in 8 days.

Now, to get how much flour is left over after 8 days, you need to subtract 8.52 from 15 kgs.

15 - 8.52 = 6.48 kgs.

Answer:

4 Seconds

Step-by-step explanation:

Let's say the height of the ground is set at y = 0.

Then, since 16 times 4 is 64, we substitute 4 for x.

But wait! x is being squared!

So we need to find out what squared is 4. It's 2.

So, with x being equal to two, y is equal to 0.

But what is the number of seconds? We actually got it first.

That means that the answer is 4.

The pinecone takes 4 seconds to reach the ground.

The conditional of q by p is "If p then q" or "p implies q" and is denoted by p q. It is false when p is true and q is false; otherwise it is true.

Answer:

Step-by-step explanation:

One way to do this is to find the x- and y-intercepts and to plot these:

x-intercept:  Let y = 0:  5x = -2, or x = -2/5, so the x-intercept is (-2/5, 0).  Plot this point.

y -intercept:  Let x = 0:  y = -2, so the y-intercept is (0, -2).  Plot this point.

Finally, draw a line through these two points.

Answer:

14 feet and 3 inches

Step-by-step explanation:

Answer:

14.25ft

171 in

Step-by-step explanation:

Tbe question doesn't state the number of days he walked to school out of 20 school days in the

Month of February.

Answer:

Kindly check explanation

Step-by-step explanation:

To. Obtain the fractional representayion for the number of days he walked to school ;

Let the number of days he walked to school = 10 (this is an hypothesized value)

Number of school days in February = 20

Fraction = 10 /20 = 0.5

The percentage of times walked to school : multiply the fraction obtained above by 100%

0.5 * 100% = 50%

Just put the desired value and proceed uSing the steps described above.

Answer:

Calculating the means:

Sum each length from each sample and divide it by the number of worms.

Sample 1: 26 + 25 + 27 + 19 + 24 + 26 = 147/6 = 24.5

Sample 2: 24 + 23 + 24 + 26 + 25 + 25 = 24.5

They each have the same sample mean.

Ranges: Take the largest length and subtract the smallest.

Sample 1: 27 - 19 = 8

Sample 2: 26 - 23 = 3

Sample 1 has a greater range.

Answer:

13260 square inches

Step-by-step explanation:

In DEF e = 100 inches f = 740 inches and angle D = 159°. Find the area of DEF to the nearest square inch

The formula to solve the above question is

1/2absinθ

a = 100 inches

b = 740 inches

θ = 159°

The area of the triangle =

1/2 × 100 × 740 × sin 159°

= 13259.61 square inches

Approximately = 13260 square inches

Therefore, the area of DEF = 13260 square inches

Answer:

20

Step-by-step explanation:

Answer:

1)-5

2)-15

3)1

4)-11

5)-70

if negative use () for example

(-2)-7+4

Answer:

1. -5

2. - 15

3. 1

4. - 11

5. -70

Answer:

I think the option B suits the most

Step-by-step explanation:

Answer:

2×[tex]10^{8}[/tex]

or

200000000

Step-by-step explanation:

[tex]\frac{6.28*10^{12} }{3.14*10^4}[/tex]

2×[tex]10^{8}[/tex]

or

200000000

Answer:

A) 15x > 45

Step-by-step explanation:

Let X represent an hour. His wage will be 15 times that, so you have:

15x

He needs to earn more than 45 a day, so the inequality needs to be >45

Only answer that satisfies these conditions is A:

A) 15x > 45

Answer:     A.

Step-by-step explanation: