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Answer:

m∠1 = 90°

m∠2 = 55°

Step-by-step explanation:

1. m∠1 = 90° because by definition, the diagonals of a rhombus are perpendicular, or intersect at 90°.

2. Because of vertical angles, the angle opposite of ∠1 is also 90°. A triangle has a total of 180°.

m∠2 + 90 + 35 = 180

90 + 35 = 125

m∠2 + 125 = 180

subtract 125 from both sides to solve for m∠2

m∠2 = 55°

Answer:

Subtract 4 and then add 6.

Step-by-step explanation:

8-4=4

4+6=10

10-4=6

6+6=12

12-4=8

8+6=14

The rule for this pattern can be subtracting 4, and then adding 6.

Answer:

The slope is -1

Step-by-step explanation:

We need two points on the line to find the slope

(0,4) and (4,0)

The slope is

m = (y2-y1)/(x2-x1)

   = (0-4)/(4-0)

  = -4/4

  = -1

Answer:

4.83*2.6=45

Step-by-step explanation:

The volume of the cylindrical soda can is 25.64 cubic inches.

Volume is defined as the space occupied by any object in the three-Dimensions. For the cylinder, we need the diameter and the height of the cylinder.

The volume will be calculated as:-

V = ( π / 4 ) d²l

We have d = 2.56 inches and h = 4.83 inches

V =  ( π / 4 ) x ( 2.56 )² x ( 4.83)

V = 25.64 cubic inches.

Hence, the volume is 25.64 cubic inches.

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Answer:

5 1/4 mph

Step-by-step explanation:

21 divided by 4= 5 1/4

Answer:

Average Speed = 5.25 mph

Step-by-step explanation:

Given:

Distance = 21 miles

Time = 4 hours

Required:

Average Speed

Formula:

Average Speed = Total Distance Covered / Total Time Taken

Solution:

Average Speed = 21/4

Average Speed = 5.25 mph

Answer:  2x + 3

Step-by-step explanation:

this equation is asking you to plug g into f which means you will have to replace the x in the f function with the equation of the g function.

2(x+2)-1

2x + 4 - 1

= 2x - 3

Answer:

umm i not sure, but this is a guess because i am stuck on it too

Step-by-step explanation:

i think it is 106

Answer:

The second graph

Step-by-step explanation:

Plugging in sample values we can see that when x = 0, y = sqrt(1) = 1

When x = 1, y = sqrt(0) = 0

When x = -3, y = sqrt(4) = 2

This is the second graph

Answer:

the second option

Step-by-step explanation:

Plugging in sample values we can see that when x = 0, y = (1) ^1/2 = 1

When x = 1, y = (0)^1/2

= 0

When x = - 3, y = (4)^1/2

= 2

Hope this helps!

Answer:

I found that the answer is (5,1)

Step-by-step explanation:

4 times x(5) is 20

3 times y(1) is 3

20 + 3 = 23

bottom equation:

x(5) -- 5y(1) = 0

Answer:

3n

Step-by-step explanation:

Answer:  b) -1 < x < 0

Step-by-step explanation:

Graph the equation to see where it crosses the x-axis.  The x-intercepts are the zeros of the function.

The graph shows only one zero, which lies between x = -1 and x = 0.

elimination means to get rid of one variable by altering the coefficients of variable (by multiplying and diving by some constant number)

in this case, if you just add the two equation, y gets cancelled you get 5x=20 or x=4

put it in any equation to get y (this works because both lines pass through the same point, so they must satisfy that point) to get y=2

Answer: (4,2)

Step-by-step explanation:

You can solve this systems of equation by substitution, graphing, and elimination

Solving by Elimination was found to be the easiest for me.

3x+2y=16

2x-2y=4

eliminate 2y because a positive and a negative will equal zero.

3x+2x=5x, 16+4=20

5x=20, divide 5 on both sides

x=4

Now we solve for y

You can plug in 4 for x in either equations

I did the first equation

3(4) +2y=16

3*4=12

12+2y=16

-12        -12

2y=4

divide 2 on both sides

y=2

Answer is (4,2)

Mark brainlist please

Step-by-step explanation:

Hers your answer friend

Answer:

180 and 300

Step-by-step explanation:

We want to divide up the number 480 in a 3:5 ratio.

=> We should turn 480 into 3+5=8 portions, each portion is 480/8 = 60.

=> 480 could be divided into 2 smaller numbers that satisfy 3:5 ratio:

60x3=180 and 60x5 = 300.

Check:

180:300 ratio <=> 3:5 ratio (valid)

Hope this helps!

Answer:

[tex]a=-6\quad and \quad b=8[/tex]

Step-by-step explanation:

[tex]\frac{8-\sqrt{18}}{\sqrt{2}}=\frac{\sqrt{2}}{\sqrt{2}}\times \frac{8-\sqrt{18}}{\sqrt{2}}\\\\=8\sqrt{2}-\sqrt{2}\cdot \sqrt{18}\\\\=8\sqrt{2}-\sqrt{36}\\\\=-6+8\sqrt2[/tex]

By comparing the last expression with  [tex]a+b\sqrt{2}[/tex], we get:

[tex]a=-6\quad and \quad b=8[/tex]

Best Regards!

Answer:

87th term is 497

Step-by-step explanation:

first, you have to find the nth term:

figure out the difference between your set of numbers (in our case +6)

that means that is 6n. next, the nth term is basically the 0th term so you have to find the 0th term. all you have to do is do the inverse of 6n (-6n or -6), which gives us -25.

nth term= 6n-25

now replace n with 87.

final step:

87*6 (6n and n=87) and that gives you 522. then, you have to do 522-25, due to the equation. 522-25=497

497 is your 87th term.

Answer:

Step-by-step explanation:

[tex]a = -19\\d = T_{2} -T_{1} \\d = -19-(-13)\\d = -19+13\\d = -6\\T_{n}= a+(n-1)d \\\\T_{87} = -19+(87-1)-6\\T_{87} = -19+(86)*-6\\T_{87} = -19-516\\T_{87} = -535[/tex]

Answer:

2245

Step-by-step explanation:

2282-37=2245

2245 students are girls

Answer:

1304

Step-by-step explanation:

3/7 of students are boys

total students= 2282

girls are 1-3/7= 4/7 of all students

girls= 2282*4/7= 1304

Answer:

5

Step-by-step explanation:

Answer: 35 square inches

Step-by-step explanation:

Area of triangle = (l * w) / 2

Multiply

10 * 7 = 70

Divide by 2

70 / 2 = 35

Answer:

35 square inches

Step-by-step explanation:

area=base times height divided by one-half

7x10=70

70/2=35

Answer:

x^2-6x + 14

Step-by-step explanation:

Here, we want to

write the standard form of the quadratic equation in the question.

This can be written by expanding the bracket.

F(x) = (x-3)^2 +5

F(x) = (x-3)(x-3) + 5

F(x) = x(x-3)-3(x-3) +5

F(x) = x^2 -3x-3x + 9 + 5 = x^2-6x + 14

Answer:

B, reflection will be your answer.

Step-by-step explanation:

Congruent triangles have equal measure of corresponding sides and angles.

The single transformation that maps triangle ABC and triangle A'B'C is (b) reflection

From the question, we understand that the triangles are congruent by HL.

HL means hypotenuse legs.

This implies that

Reflecting either of the triangles would map both triangles.

Hence, the single transformation is reflection

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Answer:

A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions

Therfore it is true

We can multiply all values by the same amount and still have the same ratio.

The given statement is true.

We have given the statement,

A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions.

We have to determine whether the statement is true or false.

Proportion is a mathematical comparison between two numbers.

A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions

Therefore it is true.

We can multiply all values by the same amount and still have the same ratio.

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Answer:

x² - 64

Step-by-step explanation:

Difference of squares: (x - a)²(x +a )²

With that, you have to have (x - 8) as a factor as well. Simply just multiply (x - 8) to (x + 8) and you get x² - 64 as your answer!

Answer:

C

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

40 x 260 /100  = 104

Answer:

104

Step-by-step explanation:

40% of 260=

40/100 x 260=

10400/100=

104

Answer:

b

Step-by-step explanation:

Evaluate using the definition

n[tex]C_{r}[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex]

where n ! = n(n - 1)(n - 2)(n - 3)..... × 3 × 2 × 1

Given

9[tex]C_{3}[/tex]

= [tex]\frac{9!}{3!(9-3)!}[/tex]

= [tex]\frac{9.8.7.6.5.4.3.2.2.1}{3!.6!}[/tex]

= [tex]\frac{9.8.7.6.5.4.3.2.1}{3.2.1(6.5.4.3.2.1)}[/tex]

Cancel 6.5.4.3.2.1 on numerator and denominator, leaving

= [tex]\frac{9.8.7}{3.2.1}[/tex]

= [tex]\frac{504}{6}[/tex]

= 84 → b

Answer:

100/x/100

Step-by-step explanation:

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

A) -1.7 x 10^-4 D)-0.00017

Step-by-step explanation:

Since its negative in the base B and C wont work. The negative in the exponent means the decimal moves left which exclude E.

Answer:

A) -1.7 x 10^-4 D)-0.00017

Step-by-step explanation:

Since its negative in the base B and C wont work. The negative in the exponent means the decimal moves left which exclude E.

Step-by-step explanation:

The correct answer is option D which is the coordinates are (–4, –3 ).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that:-

From the given data we will plot the points on the x-y axis the points are as follows:-

The graph of the point is also attached with the answer.

Therefore the correct answer is option D which is the coordinates are (–4, –3 ).

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Answer:  y = 23 degrees.

Step-by-step explanation:

5y degrees has to equal to 115 degrees because they have the same angle measures since 115 is the opposite of 5y

5y = 115  divide both sides by 5

y= 23

Answer: y = 23ᴼ

Step-by-step explanation:

115ᴼ and 5y are alternate-exterior angles, which means their measures congruent.

Just divide 115 by 5 to find y

115 / 5 = 23

y = 23

Answer:

The Answer is 4/8

Step-by-step explanation:

4/8 = 1/2

Point A is in the middle of 0 and 1, since itz in the middle its 4/8

Hopes This Helps!!!

Answer:

C.  [tex]\frac{4}{8}[/tex]

Step-by-step explanation:

Point A seems like it is in the middle of 0 and 1 which would make it's fraction [tex]\frac{1}{2}[/tex]. We can clearly see that there is no option for [tex]\frac{1}{2}[/tex] exactly, but there is a non-simplified version of [tex]\frac{1}{2}[/tex]. That fraction would be [tex]\frac{4}{8}[/tex].