In the diagram, △ABC∼△DEF. Find the value of x.

Answer:

Heyy, you'd have too answer this in using base numerals. Which would just be 11 thousand blocks( you would use thousand place blocks to be specific) . Then 2 " 100 " blocks. And 12 ones blocks n theirs ur answer! Hopefully I helped you out. Have an amazing day

Step-by-step explanation:

Answer: 11,212

Step-by-step explanation:

base-ten numerals: 11,000 + 200 + 12+ = 11,212

number in expanded form:  11,212 =

+  10,000  

+ 1,000  

+ 200  

+ 10  

+ 2  

By solving a system of equations, we will see that the values of n and m are 3 and -4.

We need to get two values n and m such that:

n*m = -12

n + m = -1

So this is a system of equations, to solve it, we first need to isolate one of the variables in one of the equations. I will isolate n on the second equation:

n = -1 - m

Then, replacing that on the other equation we get:

(-1 - m)*m = -12

-m - m^2 = -12

-m^2 - m + 12 = 0

This is a quadratic equation, the solutions are given by Bhaskara's formula:

[tex]m = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*(-1)*12} }{2*-1} \\\\m = \frac{1 \pm 7}{-2}[/tex]

Now, let's take the first solution for m:

m = (1 + 7)/-2 = -4

Then the value of n is the other solution, (or we can use the equation for n that we found above):

n = -1 - m = --1 - (-4) = 3

Then the two numbers are 3 and -4, meaning that the correct option is the first one.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Answer:

x = 7

y = 2

--

x = 7

y = −x + 9

- Consider the second equation. Insert the known values of variables into the equation.

y = −7 + 9

Add −7 and 9 to get 2.

y = 2

The system is now solved.

x = 7

y = 2      ( 7,2 )

Answer: See attached table

Step-by-step explanation:

[tex]\begin{table}[]\begin{tabular}{lllll} & & & & \\ & & & & \\ & & & & \\ & & & & \end{tabular}\end{table}[/tex]+---+---+---+

| 1 | 8 | 2 |

+---+---+---+

| 6 | 4 | 2 |

+---+---+---+

| 5 | 0 | 7 |

+---+---+---+

Proofs:
First row: 1+6+5 = 12

Second row: 8+4+0 = 12

Third row: 2+2+7 = 12

First column: 1+8+2 = 12

Second column: 6+4+2 = 12

Third column: 5+0+7 = 12

Diagonal starting from top left to bottom right: 1+4+7 = 12

Diagonal staring from top right to bottom left: 2+4+5 = 12

i)

ii)

iii)

iv)

With x = -12, Not applicable so x will be 10

Length → x + 5 → 10 + 5 → 15

Breath → x -3 → 10 - 3 → 7

Therefore,

Length : 15 cm

Breadth : 7 cm

Answer:

Given:

i) Length of rectangular shaped lamina = (x + 5) cm

ii) Breadth of rectangular shaped lamina = (x - 3) cm

ii) Area of a rectangle = length × breadth

⇒ area of rectangular shaped lamina = (x + 5)(x - 3) cm²

Given:

⇒ (x + 5)(x - 3) = 105

Expand:

⇒ x² - 3x + 5x - 15 = 105

Combine like terms:

⇒ x² + 2x - 15 = 105

Subtract 105 from both sides:

⇒ x² + 2x - 120 = 0

iv) Solve x² + 2x - 120 = 0

Rewrite:

⇒ x² + 12x - 10x - 120 = 0

Break into groups:

⇒ (x² + 12x) - (10x + 120) = 0

Factorize the parentheses:

⇒ x(x + 12) - 10(x + 12) = 0

Factor out common term:

⇒ (x - 10)(x + 12) = 0

Therefore,

x - 10 = 0  ⇒  x = 10

x + 12 = 0  ⇒  x = -12

As length is positive, x = 10 only

Therefore,

Length of rectangular shaped lamina = 15 cm

Breadth of rectangular shaped lamina = 7 cm

Answer:

1655

Step-by-step explanation:

add 100+15 together then add that answer with 1540

Answer:

9,600

Step-by-step explanation:

100+.15x=1540

.15x=100-1540

.15x=1440

X=9,600

okay so basically we see two rectangles right, so we can subtract the small from the big to leave the shaded region behind: so we take the area of the big rectangle first, (x+5)*4 and then we subtract the small area which is 2*2 so that we get an equation like this: (x+5)*4 - 4 --> 4x+20-4 --> 4x+16

Answer:

c, a, a, c, a

Step-by-step explanation:

let me know if you want me to explain everyone, but I think you're more looking for the answer, so here they are(with short explanations)

11.c, 100. Vertical angles are congruent.

12.a, 70. Supplementary=180*. We know that B=110(from drawing). 110+70=180

13.a, 70. We know that a is 70 from question 12. vertical angles are congruent, so c=70

14.c, 90. from the attached image, we see that 12 and 3 makes 90* angle.

15.a, AY. Both have the letters AY in their names.

let me know if im correct!

Answer:

3.6 cm

Step-by-step explanation:

Triangle Proportionality Theorem

BD : DE = BA : AC

⇒ 6 : 10 = BA : 16

⇒ [tex]\mathsf{\dfrac{6}{10} = \dfrac{BA}{16}}[/tex]

⇒ [tex]\mathsf{BA=\dfrac{6}{10} \times16}[/tex]

⇒ BA = 9.6

AD = BA - BD

⇒ AD = 9.6 - 6 = 3.6 cm

Answer:

135

Step-by-step explanation:

Multiply .15 by 900
0.15 x 900 = 135
Hope this helps :)

Answer:

135

Step-by-step explanation:

To find 15% of a number, we can find 10% first then 5%

We can also turn 15% into a decimal by dividing 15 by 100: 15 ÷ 100 = 0.15 Now, we can treat 'of' as × and do 0.15 × 900 which is 135.

Hope this helps!

Answer:

you can it's too easy but I haven't any time so I can't solve this

Answer:

False

Step-by-step explanation:

3x9=27

3x9=2712+13=25

3x9=2712+13=2527=25

3x9=2712+13=2527=25These 2 numbers don't match.

Hence, the equation is false.

Answer:

There!!

Step-by-step explanation:

mark me brainliest!!

Answer:

x=105, y=75 and z=105.....this is a map of parallellines and a transversal. ....angles x and 75 are supplementary angles x=180-75 ×=105...angles y and 75 are corresponding angles so, y=75..angles x and z are alternate exterior angles z=x

Answer:

  301

Step-by-step explanation:

Assuming the proportion holds over longer distances, the ratios can be written ...

  peas/beans = p/133 = 43/19

  p = 133(43/19) = 301

301 peas are equal to 133 beans.

Answer:

Sorry but u need another photo i can't see

Answer:

5 more students caw n enroll in 5th grade

Step-by-step explanation:

21 +23 + 23 = 67

72- 67 = 5

Answer:

1.75 + 1.25 + 1.50 + .75(3) = $6.75 total

Step-by-step explanation:

Make sure to multiply .75 x 3 because there are 3 bags of chips. That gives you $2.25 in chips to add to the hotdog, popcorn, and soda total.

The time Ann finished playing in the backyard is 12 : 15 pm

Total time = 9:38 + 41 minutes + 1 hour 56 minutes

= 10:19 + 1 hour 56 minutes

= 12 : 15 pm

Therefore, the time Ann finished playing in the backyard is 12 : 15 pm

Learn more about time:

https://brainly.com/question/4931057

Answer: -2x² - 15x + 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Comment

This is a proportion question. That means that the ratios given are equal. There are 4 facts all together. 3 are given, you have to solve for the 4th. The procedure is the same every time.

Equation (proportion)

cost of apples 1.09/ Number of apples (3) = cost of nearly a dozen (x)/Number = 11.

1.09/3 = x / 11                 Cross Multiply

3x = 1.09 * 11                  Combine the right

3x = 11.99                       Divide by 3

3x/3 = 11.99/3      

x = 3.99

Answer

4.00 per pound

Answer:

2, because 100,000 is said one hundred thousand which means 1 is in the hundred thousand place, and the same applies to this number meaning 2 is in that place.

Step-by-step explanation:

Answer:

2 is in the hundred-thousands place.

ATQ

[tex]\\ \rm\longmapsto 3x+28+x=180[/tex]

[tex]\\ \rm\longmapsto 4x+28=180[/tex]

[tex]\\ \rm\longmapsto 4x=152[/tex]

[tex]\\ \rm\longmapsto x\approx 38[/tex]

Let's assume that ,

x is the smaller angle

3x+28 is the larger angle

then,

ATQ,

x + 3x+28 = 180°

4x +28 = 180°

4x = 180°-28°

4x = 152°

x = 38°

putting the value of x in the larger angle

⇢3x +28 = 3 x 38° +28° = 142°

hence , the measure of the smaller angle is 38° & the larger one = 142°

Answer:

Every number to the right of 5 is greater on a number line

Step-by-step explanation:

Answer:

the answer is

[tex]24 \sqrt{2} [/tex]