Draw a segment perpendicular to each given segment. Show your thinking by sketching triangles as needed.

Answer:

[tex]1\frac{3}{8}[/tex] hours, or 1 hour and 22.5 minutes

Step-by-step explanation:

Wanda spends a third of her [tex]4\frac{1}{8}[/tex] hours studying math. Let us multiply these two fractions to find how much time she spent. Our first step would be to convert the mixed number into an improper fraction, as mixed numbers are hard to manipulate with:

[tex]4\frac{1}{8} =\\\frac{33}{8}[/tex]

Now let us multiply:

[tex]\frac{1}{3} *\frac{33}{8} =\\\frac{11}{8}[/tex]

If we wish, we can convert this into a mixed number:

[tex]\frac{11}{8}= \\1\frac{3}{8}[/tex]

or, 1 hour and 22.5 minutes.

Therefore, Wanda spent [tex]1\frac{3}{8}[/tex] hours, or 1 hour and 22.5 minutes studying math.

I hope this helps! Let me know if you have any questions :)

Answer:

where's the diagram can you tell

Answer:

the last one is correct

Step-by-step explanation:

because 3000/12 = 250 and 3500/14 = 250 so they are porportional.

Answer:

The volume is 60 cubic units

Step-by-step explanation:

It is given that Savannah is using the unit cubes for determining the volume of her desk drawer.

Each of the cube have dimensions of 1 unit by 1 unit by 1 unit

The base of the drawer is 4 unit cubes by 3 units cubes. And the height of the desk drawer is 5 units cube.

Thus the volume of her desk drawer is = 4 x 3 x 5

                                                                = 60 cubic units

Answer:

See below.

Step-by-step explanation:

No, a reasonable estimate is around 7 * 6 = 42.

Round $6.99 to $7 and multiply by the 6 family members.

Answer:

80

Step-by-step explanation:

This is a pentagon (5 sides), n=5

The sum of internal angles equals (n-2)*180 = 540°

We have

A = 90

B = 180-40

C = 180-x

D = 180-60

E = 180-90

Sum all the angles to equal 540°

90 + 180-40 + 180-x + 180-60 + 180-90 = 540

620-x = 540

solve for x

x = 620 - 540 = 80

Answer:

80

Step-by-step explanation:

the answer should be 80 just as mathmate explained

Bye !

Answer:

send one

the second one boi

Step-by-step explanation:

pls help

Answer:

−72x

Step-by-step explanation:

Answer:

(1+b)(a+4)

Step-by-step explanation:

Answer:

152 and 9

Step-by-step explanation:

Answer:

hkxkjfxjflxjlnfzjjgzligxlkxljyyflkxklxyklclllyfylldkfol

Answer:

D

Step-by-step explanation:

we'll use the complex number system to solve this exercice

the coordinates of the last triplet are : (1,2) , (2,4) and (4,8) The affixes are then

 [tex]1 + 2i = a \\2 + 4i= b = 2a \\4+8i = c = 2b = 4a[/tex]

for the points to be aligned the fraction [tex]\frac{c-a}{b-a}[/tex] should be a real number

[tex]\frac{c-a}{b-a} = \frac{4a-a}{2a-a} = \frac{3a}{a} = 3[/tex]

so the points are aligned

Answer:

D (1, 2), (2, 4), (4, 8)

Step-by-step explanation:

Hope this helps

Answer:

Area = 1500 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area= height ×(Base 1 +base 2)

Area = 20 × (40+35)

Area = 20×75

Area = 1500 [tex]cm^{2}[/tex]

Answer:

a₂₅ = - 367

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = - 22 - (- 7) = - 37 - (- 22) = - 15

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 7 and d = - 15 , then

a₂₅ = - 7 + (24 × - 15) = - 7 - 360 = - 367

Answer:

Sara can buy 2 notebooks with the money that she has and she will have a remainding 23.1

Step-by-step explanation:

93.1-35-35=23.1

Answer:

13 Rungs

Step-by-step explanation:

According to the Question,

The plan recommends that the rungs of the ladder be spaced at 8-inch intervals.

Thus, the rungs Cover on 108 -(6+6) = 96 inches with 8-inch gaping between each rung.

Answer:

45

Step-by-step explanation: If you turn 90 counter clockwise ( aka divided by half ), the result would be 45.

9

Answer:

[tex]Pr(x) = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]n = 30[/tex] --- number of rolls

Required

The theoretical probability of rolling: (a) 1    (b) 4    (c) 6    (d) 7

Assume the cube is 6 sided.

The sample space is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

And the probability of each is:

[tex]Pr(x) = \frac{1}{6}[/tex]

Irrespective of the number of rolls, the theoretical probability of (a). (b), (c) and (d) is:

[tex]Pr(x) = \frac{1}{6}[/tex]

Answer:

b. Pure Imaginary Numbers.

Step-by-step explanation:

[tex] (i \sqrt{3})^2 = i^2 \times (\sqrt{3})^2 = -1 \times 3 = -3 [/tex]

-3 is an integer, a complex number, and a rational number.

Answer: b. Pure Imaginary Numbers.

Answer:

Eleanor and Harold

Step-by-step explanation:

The decimal [tex]0.13\overline{7}[/tex] consists of the sum of two terminating decimals and one non-terminating decimal:

[tex]0.13\overline{7}=0.1+0.03+0.00\overline{7}[/tex]

Therefore, we have:

[tex]0.13\overline{7}=\frac{1}{10}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{10}{100}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{13}{100}+\frac{7}{900}=\frac{117}{900}+\frac{7}{900}=\boxed{\frac{124}{900}}[/tex]

Hector's answer is equivalent but not simplified. However, they are both technically correct.

Answer:

x>6

Step-by-step explanation:

Answer:

Your answer is A) points G and H

Step-by-step explanation:

I took the test on edge 100%

Answer:

ok so if he pays 465.98 and we want to find the price if we reduce it by 3.6 we can multiple it by

465.98*0.964=

449.20472

so now we round to two points to get

449.21

Answer:

ok from this we know the angle of this triange are

90+47+x=180

x=43

with these if we use the proper formula we know that the two other sides are

about 21 and 23

since the top side is longer we know that X=23

Answer:

2b-10≤27

Step-by-step explanation:

In this problem, we use b to represent the unkown number. Please be careful of order of operations when writing the inequality. (The difference of a number and 5) multiplied by 2 is at most 27. Also, note that the both sides of the inequality can be 27, but no more than 27.

[tex]2(b-5)\leq 27\\2b-10\leq 27\\[/tex]

If you wish to solve for b from here, simply isolate the term containing b and solve from there.

I hope this helps! Let me know if you have any questions :)

Answer:

2(x - 5) < 27

Step-by-step explanation:

Equation

2(b - 5)<27

Explanation

Break this down

difference means subtract.

The number is b

and finally for now, the difference between a number and 5 is

x - 5

Twice that difference is

2(x - 5)

And the keyword less (than) 27. Always make sure you know what less than means. It means that it is never equal to 27, but it can be pretty close.

26.999999999999 < 27

So the final result is

2(x - 5) < 27

Answer:

Point T is the right angle of the triangle, so RTS = 90 degrees

8x + 18 = 90 (degrees)

8x = 72

x = 9 degrees

Step-by-step explanation:

If  [tex]\angle RTS = 8x + 18[/tex] and line [tex]TR[/tex] is perpendicular to line [tex]TS[/tex], then  [tex]x[/tex]  will be [tex]9^0[/tex].

A line is said to be perpendicular to another line if the two lines intersect at a right angle i.e. make [tex]90^0[/tex] angle with that line.

We have,

[tex]\triangle RTS[/tex] in which,

[tex]\angle RTS=8x+18[/tex]

Also it is mentioned that [tex]TR \perp TS[/tex] i.e.

[tex]\angle RTS=90^0[/tex]

So, compare values of [tex]\angle RTS[/tex],

We get,

[tex]8x+18=90[/tex]

[tex]8x=72[/tex]

[tex]x=9^0[/tex]

Hence, we can say that If  [tex]\angle RTS = 8x + 18[/tex] and line [tex]TR[/tex] is perpendicular to line [tex]TS[/tex], then  [tex]x[/tex]  will be [tex]9^0[/tex].

To know more about perpendicular click here

https://brainly.com/question/18271653

#SPJ2

Step-by-step explanation:

on the first one you would take 106 and subtract 22 from that since the bigger number is 22 more than the smaller number 106 - 22=84 then you would divide that by two because there are two numbers. which would be 42 as a smaller number so half of the smaller number would be 21. I think

To solve the above, the solutions are given below.

1. b) 21

7. b) x + 3x + 5 = 66

8. b) Both equations have solutions which are rational numbers

9. a) The above figure is a Polygon with 5 sides

10. b) 360 degrees

11. In a quadrilateral, if all sides are equal and the diagonals bisect each other at right angles, then the quadrilateral …

a) Is a Square

12. A rectangular wire frame could be bent and turned into a Parallelogram keeping the same 4 original sides, but the following must be true for this to happen…..

b) That the diagonals continue to bisect the angles at the vertices equally

13. Which statement is True for the following two Figures A and B, given below

b) Figure A and B are both Rhombus

14Which statement out of the four options below, is True?

b) All Rhombuses are Parallelograms

16. If 4368 ÷ 28 = 156, then if the same 4368 is now divided by 0.28, what will be the answer?

b) 15600

17. 12.00001 ÷ 0.600001 is closest to ……..

c) 20

19. The equation : 12 x + 16 = 20 is the same as ……

a) 12 x + 8 = 12

20. Find the value of a quarter of the angle QRT

which is ‘x’ if angle PRS is 2x as shown in the

figure below. Consider Triangle PRQ and Triangle

RST to be equilateral triangles of different sizes.

80°

21. Which number will give us a quotient of - 4, if we divide - 24 by ……..

d) 6

22. If 2 ( 3 – 2 x ) = 3 ( x – 5 ) then x = ……….

b) 3

23. The teacher asked the class to divide a given number by 24

- Rohit divided the number by 24 and got the correct answer 20

- Mohit divided the number by 6 and got an answer which he again divided by 4 and

obtained the final answer

- Rakesh divided the number by 2.4 and then divided the answer again by 10

- Allen divided the number by 2.4 and then multiplied the answer obtained by 10

Now choose the best solution from the below options.

a) Only Rohit got the correct answer

24. Abhay and Binu both started walking starting at the same time and at the same rate of 5 km / hour. Abhay walked on the boundary of a big circle and Binu walked on the boundary of a small circle and both these circles were having the same center. Abhay completed 3 circles, whereas Binu completed 7 circles after half an hour. After half an hour …...................

c) Both of them have covered the same distance

25. Which sign will you put in between [ 120 ….. ( 3 / 11 ) ], so that the answer or result is the highest number

c) x

Therefore, the answers are as given above.

learn more about factorization from here: https://brainly.com/question/25829061

Answer:

VX=50

Step-by-step explanation:

VX=[tex]\frac{1}{2} *UT[/tex] (The straight line joining the mid points of two sides of a triangle is parallel to the third side and equal to half of it.

[tex]z-41=\frac{1}{2} *z+9[/tex]

[tex]z-41=z+9/2[/tex]

do cross multiplication

2(z-41)=z+9

2z-82=z+9

2z-z=9+82

z=91

VX=z-41

=91-41

=50