1. There are 420 students at Virginia Middle School. The ratio of girls to boys is 4 to 3. Exactly how many more girls are there than boys at Virginia Middle School?

Answer: x = 59

Step-by-step explanation:

Answer:

4/18

Step-by-step explanation:

I think its B (let me know If I'm wrong)

It has been learned that subjectivity and objectivity in history are related to each other. The reason behind is that the objectivities are the historians and scientific researchers who are responsible for exploring ancient structures that reveal past historical stories that happened from the past.

Please consider marking brainliest! :)

Answer:

I believe it is A) because they are written by people who have certain biases, and these creep into their writing

Step-by-step explanation:

Answer:

$1,962.00

Step-by-step explanation:

Same explanation as the previous problem

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: [tex]a_n= a_1r^{n-1}[/tex]

We are given: third term = 6 i,e

[tex]a_3=a_1r(3-1)\\6=a_1r^2----eq(1)[/tex]

Seventh term = 96

[tex]a_7=a_1r(7-1)\\96=a_1r^6----eq(2)[/tex]

Dividing eq(2) and eq(3)

[tex]\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}[/tex]

So, Common Ratio r = 2

Finding First term using eq(1)

[tex]a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}[/tex]

So, First term a₁ = 3/2 and common ratio r = 2

Answer:

slope = undefined

y-intercept=0

Step-by-step explanation:

theres no y - intercept and the slope of vertical line is undefined

Answer:

i. 5(x + 0.2x) yards

ii. 6x yards

Step-by-step explanation:

Since the requested quilts are 20% larger than the normal pattern, then;

20% of x = 0.2 x

Thus,the yards of material to make each of the requested quilts increased by 0.2x yards.

So that;

To make one of the requested quilt, the yards required = x + 0.2x

For 5 requested quilts, the total yards required = 5(x + 0.2x)

Total yards of material for the requested quilts is 5(x + 0.2x).

Also,

5(x + 0.2x) = 5x + 5(0.2x)

                  = 5x + x

                  = 6x

Thus, the total yards required is 5(x + 0.2x) or 6x.

Answer:

.000915x

Step-by-step explanation:

Answer:

0.000915x

Step-by-step explanation:

Check it out it works man(woman)

Answer:

The slope is 3

Step-by-step explanation:

Use the slope-intercept form to find the slope

Answer:

c.3

Step-by-step explanation:

Answer:

Just place a point on (2,-1) and another on (-2,-2)

this should create the line you need

Answer:

the answer is c they bother are the same and have the same equals

Answer:  Please look at the steps to see the answers.

Step-by-step explanation:

The line y= 2 has a slope of 0 meaning that for any input of x  the results will always be 2.

This means the the graph will be a horizontal line through the point, (0,2)

You can also use this table to graph it;

x         y  

0          2

1            2

2            2

3            2

4            2

5            2

6            2

-1           2

-2          2.

Answer:

x=4

Step-by-step explanation:

distribute first 3x+18-13=17

combine like terms 3x+5=17

subtract 5 from both sides 3x=12

divide 3 from both sides x=4

Answer:

1. SSS

2. SAS

3. SAS

4. SSS

5. SAS

6. SAS

Step-by-step explanation:

1) Side FY ≅ Side CW  Given

Side FP ≅ Side CM     Given

Side YP ≅ Side MW    Given

∴ΔMCW ≅ ΔFPY by the Side-Side-Side (SSS) rule of congruency

2) ∠CBD ≅ ∠BCA given that both are alternate interior angles

Side EB ≅ Side EC and Side DB ≅ Side CA Given

ΔBED ≅ ΔAEC by Side-Angle-Side (SAS) rule of congruency

3. ∠SVU ≅ ∠SVT   Given

Side SV ≅ Side SV  by reflexive property

Side VT ≅ Side VU   Given

∴ ΔVSU ≅ ΔVST by Side-Angle-Side (SAS) rule of congruency

4. Side MN ≅ Side QP  Given

Side MQ ≅ Side NP     Given

Side NQ ≅ Side NQ    by reflexive property

∴ΔQNM ≅ ΔQNP by the Side-Side-Side (SSS) rule of congruency

5. Indirect proof

Side GL ≅ Side HL  Given

Side GJ ≅ Side HK     Given

∠JLG ≅ ∠HLK    vertically opposite angles

By sine rule

GJ/sin(∠JLG) = GL/n(∠GJL)

Similarly

HK/sin(∠HLK) = HL/n(∠HKL)

∴ ∠GJL ≅ ∠HKL

∴ ∠LGJ ≅ ∠LHK third angle of two triangles given the other two angles are congruent

∴ΔQNM ≅ ΔQNP by the Side-Angle-Side (SAS) rule of congruency

6. ∠XZY ≅ ∠XZW   Supplementary ∠s with ∠XZY = 90°

Side XZ ≅ Side XZ  by reflexive property

Side ZW ≅ Side ZY   Given

∴ ΔXYZ ≅ ΔXWZ by Side-Angle-Side (SAS) rule of congruency.

The congruence theorems that can be used for each of the given pair of triangles are;

1) SSS

2) SAS

3)SAS

4) SSS

5) SAS

6) SAS

1) From the image we see that;

FY ≅ CW  

FP ≅ CM  

YP ≅ MW

This means that 3 corresponding sides of the 2 triangles are congruent and as such it means  ΔMCW ≅ ΔFPY using the Side-Side-Side (SSS) congruency theorem.

2) From the image we see that;

∠CBD and ∠BCA are both alternate interior angles and are therefore congruent. Thus;

∠CBD ≅ ∠BCA

Also, we see that;

EB ≅ EC

DB ≅ CA

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;

ΔBED ≅ ΔAEC using the Side-Angle-Side (SAS) congruency theorem.

3) From the image, we see that;

∠SVU ≅ ∠SVT

Using reflexive property, the shared sides give;

SV ≅ SV  

VT ≅ VU

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;

ΔVSU ≅ ΔVST using Side-Angle-Side (SAS) congruency theorem.

4) From the image, we see that;

MN ≅ QP

MQ ≅ NP

Using reflexive property, the shared sides give;

NQ ≅ NQ

This means that 3 corresponding sides of the 2 triangles are congruent and as such it means  ΔQNM ≅ ΔQNP using the Side-Side-Side (SSS) congruency theorem.  

5) From the image, we see that;

GL ≅ HL

GJ ≅ HK  

∠JLG and ∠HLK are vertically opposite angles and as such;

∠JLG ≅ ∠HLK

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;  

ΔQNM ≅ ΔQNP using Side-Angle-Side (SAS) congruency theorem.

6) We observe from the given triangles that;

∠XZY ≅ ∠XZW (They are both right angles = 90°)

Using reflexive property, the shared side is congruent to itself and so;

XZ ≅ XZ  

Also;

ZW ≅ ZY

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;  

ΔXYZ ≅ ΔXWZ  using Side-Angle-Side (SAS) congruency theorem.

Read more at; https://brainly.com/question/14399801

Answer:

k=88

Step-by-step explanation:

as 8*11=88

Answer:

k = 88

Step-by-step explanation:

Given

[tex]\frac{k}{8}[/tex] = 11 ( multiply both sides by 8 to clear the fraction )

k = 88

Answer:

b or 1.2*10⁻1

Step-by-step explanation:

10^8=one hundred million and that *3=three hundred million

10^7=ten million*3.6=36 million.

it has to be about 0.1 seconds so b

Answer:

1.2 × [tex]10^{-1}[/tex] of a second

Step-by-step explanation:

d = vt , t = d / v

t = ( 3.6 × [tex]10^{7}[/tex] )( 3 × [tex]10^{8}[/tex] ) = (3.6 ÷ 3) × ( [tex]10^{7}[/tex] ÷ [tex]10^{8}[/tex] ) = 1.2 × [tex]10^{7 - 8}[/tex] = 0.12 of second

t = 1.2 × [tex]10^{-1}[/tex] of a second

Answer: x = 5

Use cross multiplication: A/B = C/D ⇒ AD = BC

(2x-5)/(3) = (x+5)/(6)

6(2x-5) = 3(x+5)

12x-30 = 3x+15 (Group the like terms)

12x-3x = 15+30

9x = 45 (Divide both sides by 9 to isolate for x)

x = 5

Answer:

x=5

Step-by-step explanation:

3x+15=12x-30>>>>9x=45>>>>x=5

Answer:

I'm assuming you want the distance between the two point

EF = [tex]\sqrt{17\\}[/tex]

GH = [tex]\sqrt{26}[/tex]

Step-by-step explanation:

Answer:he would miss three times

Step-by-step explanation:because he missed once every 3 times so which would equal 2.5 which i will round up to 3 to get my answer.

Answer:

It should be 168 seconds

Step-by-step explanation:

840 divided by 5 is 168, let me know if I'm wrong!

Answer:

I think its 14

Step-by-step explanation: 12x5=60 so 60 instructions per second then they need 840 instructions so 840/60=14 so 14 seconds I THINK

Answer:

In standard form -3x⁵ + x³ + 4x² - 8x

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

a negative exponent adds more decimal places and since a blood cell is very small you want the smallest value

Answer:

I think it's 7.5 correct me if i'm wrong

Step-by-step explanation:

7.5 is half of 15

Use the midsegement theorem

Answer:

x = 3

Step-by-step explanation:

32 * 2^x = 2^8

32 * 2^x = 256

divide 32 from both sides

2^x = 8

then solve for x

2^3 = 8

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

You did not ask for the answer so I will just tell you the steps. First, you have to add 0.12 on both sides. Then you are going to subtract 1.1j from both sides. Finally you are going to divide both sides by 5.6 to get your final answer.

Answer:

Subtract 1.1j from both sides.

Step-by-step explanation:

Answer:

224 ounces

Step-by-step explanation:

Answer:

$ 48.69

Step-by-step explanation:

Hope this helps give me some stars and a Thank you if its correct!

Answer:

7, 11

Step-by-step explanation:

because those sides are congruent so their measurs are equal

3a+7=4a find a

b+11=2b find b

7=4a-3a,  subtract 3a from both sides so a=7

11=2b-b, subtract b from both sides so b=11