ABCD is a rectangle. Find the mCED

Answer:

.36

Step-by-step explanatio

ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .

Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

Given,

m∠H = 30°

m∠J=50°

m∠P=50°

m∠N=100°

In triangle ΔHKJ

m∠H = 30°

m∠J=50°

m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)

m∠K= 100°

In ΔHKJ and ΔLNP,

m∠J = m∠P= 50°

m∠K= m∠N= 100°

According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.

Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.

Hence, ΔHKJ ~ ΔLNP

learn more about similar triangle

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Answer:

i. 33

ii. 1488

iii. 65

Step-by-step explanation:

i. 4x² − 3y² + 5z²

Putting the values x=2, y=-1 and z=2

4(2)² − 3(-1)² + 5(2)²

4×4 − 3×(1)² + 5×(4)

(16) -  (3×1) + (20)

16 -  3+ 20

36 - 3

33

ii. 3x³ − 2x(4yz+5x²)

Putting the values x=2, y=-1 and z=2

[3(2)³ − 2×2(4×(-1)×2 + 5×(2)²)]

[3(8)³ − 2×2(-8 + 5×4)]

[3 ×512 -  2×2(-8 +20)]

[1536 - 4(12)]

[1536 - 48]

1488

iii. 1−4x(yz+3xy)

Putting the values x=2, y=-1 and z=2

[1 - 4 × 2((-1)×2 + 3×2×(-1))]

[1- 8(-2 + (-6))]

[1- 8 (-2 -6)]

[1 - 8(-8)]

[1 +64]

65

Answer:

104

Step-by-step explanation:

8(rt 13)(rt 13)

8(13)

104

Answer:

I have provided it below

Step-by-step explanation:

- 8/18 > - 17/27

- 0.444444 > 0.62963

So this inequality is TRUE

Hope this helps!!

Answer:

16 tiles

Step-by-step explanation:

Divide the length of the wall by the width of one tile.

4 / 1/4 = 4/1 * 4/1 = 16/1 = 16

Answer: 16 tiles

Answer:

See below

Step-by-step explanation:

a) The vertex is (0,2) so the standard form equation is (x-0)^2=4p(y-2). Since p=1/(4a) and a=1/8, then p=1/(4(1/8))=1/(1/2)=2. This makes the equation now x^2=8(y-2). Given the focus point for a vertical parabola is (h,k+p) then the focus point is (0,2+2) which is (0,4)

b) They are both 4 units away

c) I can't solve

d) I can't solve

Answer:

OLD

Step-by-step explanation:

Answer:

4.543 billion years

Step-by-step explanation:

Answer:

2:1 I think heheheheeh

Step-by-step explanation:

lol

Answer:

69 calories

Step-by-step explanation:

Given that :

Number of calories in 28 grams = 161

9 cashews = 12 grams

Number of calories consumed :

28 grams = 161 calories

12 grams = x

Cross multiply :

28x = 161 * 12

28x = 1932

x = 69 calories

Answer:

C.

Step-by-step explanation:

Negative exponents on the top is equivalent to them being positive in the bottom.

Answer:

It can crawl 24 inches in 1 minute.

Step-by-step explanation:

1. We know 1 ft = 12 in, so 120 ft = 1,440 in.

2. If the turtle can crawl 1440 inches in 1 hour, that's equivalent to crawling 1440 inches in 60 minutes.

3. we can write this as a fraction and then multiply the denominator 60 by itself to find how many inches per minute the turtle can crawl.

4. 1440/60 ×60/60 =24/1

Answer:

B) 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Leg a = x

Leg b = 5

Hypotenuse c = 13

Step 2: Solve for x

Answer:

770

Step-by-step explanation:

30 percent of 1100 is 330. 1100 - 330 is 770.

Answer:

770

Step-by-step explanation:

30 % of 1100 = 330. 1100 - 330 = 770.

Answer:

Number of 3 point goals = 85

Number of 2 point goals = 3(85) - 62 = 193

Number of free throws = 3(85)- 32 = 223

Step-by-step explanation:

Given that :

2 point goals

Number of 3 point goals = x

Number of 2 point goals = 3x - 62

Number of free throws = 3x - 62 - 30 = 3x - 32

3x + 2(3x - 62)+ 3x - 32= 864.

3x + 6x - 124 + 3x - 32 = 864

12x = 864+ 124 + 32

12x =1020

x = 1020 / 12

x = 85

Number of 3 point goals = 85

Number of 2 point goals = 3(85) - 62 = 193

Number of free throws = 3(85)- 32 = 223

Answer:

hope it helps

Step-by-step explanation:

1: 4

2:2

3:1

4:3

GIVE ME BRAINIEST!!!!!

thanks!

Question:

Which two fractions are equal to 2?

A .1/2      B.2/4      C.2/1     D.2/2     E.4/2

Answer:

C.2/1     and E.4/2

Step-by-step explanation:

Required

Determine equivalent of 2

To do this, we simply evaluate each option

A .1/2      

[tex]\frac{1}{2} = 0.5[/tex]

B.2/4      

[tex]\frac{2}{4} = 0.5[/tex]

C.2/1    

[tex]\frac{2}{1} = 2[/tex]

D.2/2    

[tex]\frac{2}{2} = 1[/tex]

E.4/2

[tex]\frac{4}{2} = 2[/tex]

From the calculations above:

Options (c) and (e) are equivalent to 2

Answer:

x = 4, z = 77

Step-by-step explanation:

From the figure attached,

(15x + 43)° = (8x + 71)° [Vertically opposite angles]

15x - 8x = 71 - 43

7x = 28

x = 4

Therefore, (15x + 43)° = (15×4 + 43)°

                                   = 103°

Now, z° + (15x + 43)° = 180° [Linear pair of angles]

z° + 103° = 180°

z° = 180 - 103

z = 77

Therefore, x = 4 and z = 77 is the answer.

Answer:

£4.65 is her bill

Step-by-step explanation:

Here, we firstly need to calculate the unit price of a pint

Mathematically, in this case, that will be 3.72/12 = 0.31

ordering 3 extra pints means she would be buying a total 15

The price of this will be;

0.31 * 15 = £4.65

Answer:

45

Step-by-step explanation:

its hard o type but trust me

Answer:

45

Pencils: 18

Pens: 27

Step-by-step explanation:

for every 2 pens there is 3 pencils

to have 18 pens ou multiply by 9

what you do to one you do to the other so just multiply the pencil by 9 so,

9 x 3 = 27

there is 18 pens and 27 pecils

PENS AND PENCILS:

18 + 27 = 45

Answer:

why is it is Spanish? you lucky i got googl e translate. it is B.

Step-by-step explanation:

Answer:

33.75 red counters

Step-by-step explanation:

Given the ratio of the  red counters to  blue counters as 5:4. The total ratio will be 5 + 4 = 9

If there are 27 blue counters in the bag, the total amount of counters there will be gotten using the expression;

4/9 * x = 27

x is the total counter in the bag.

4x/9 = 27

4x = 9*27

x = (9*27)/4

x = 60.75

The amount of red counters there will be

red counters = Total - blue counter

red counter = 60.75 - 27

red counter = 33.75 red counters

Answer:

JK ≅ MN

Step-by-step explanation:

SAS states that any two sides of the angle and the angle itself, if , of two triangles are equal the two triangles are equal.

It is given that  ∠J ≅ ∠M and JL ≅ MR   i.e an angle and a side are equal. We need one more side to prove that the two triangles are equal.

If we look at the diagram closely we see that the angles J and M are formed by the sides JK & JL  and MN& MR.

It is given that JL ≅ MR  so we are left with JK ≅ MN

The additional information needed prove that ΔJKL ≅ ΔMNR by SAS Congruence Theorem is: D. JK ≅ MN

Recall:

The image attached below shows ΔJKL and ΔMNR where we are given the following:

∠J ≅ ∠M (one pair of congruent angles).

JL ≅ MR (one pair of congruent sides).

Therefore, the additional information needed prove that ΔJKL ≅ ΔMNR by SAS Congruence Theorem is: D. JK ≅ MN

Learn more about the SAS Congruence Theorem on:

https://brainly.com/question/2644126

Answer:

so the equation would be

u+t+h=12

lets break it down

we know that t is equal to

h+ 2

and we know that u is equal to

h+t

okay so first we need to focus on finding one of the units then we can find the next ones

so lets find h first,

with the equations we found h is involved in all of them so we can use them in the equation that equals 12 ( ill make it easier for you and make all of the units equal to their equation including h)

u= h+t

h+2=t

t= h+2

h=h

u= h+h+2

so lets put it together

(h+h+2)+(h)+(h+2)=12

4h+4=12

    -4  -4

4h=8

/4   /4

h=2

okay now using our other equations lets find t and u

h+2=t

2+2=t

4=t

h+t=u

2+4=u

6=u

now lets check our answers

u+t+h

6+4+2=12

10+2=12

12=12

so now that we know the values lets put them into their places in the number

uth

u=6

t=4

h=2

642 is your number

if you need anymore clarification just ask or help with another problem

Step-by-step explanation:

Answer: 456

Step-by-step explanation:

Given :

cos x = 1.7/2 .

Also, x is an acute angle.

To Find :

The value of angle x.

Solution :

cos x = 1.7/2

Applying cos inverse both the sides, we get :

[tex]cos ^{-1} (cos\ x ) = cos^{-1} \dfrac{1.7}{2}\\\\x = cos^{-1} \dfrac{1.7}{2}[/tex]

Calculating the value of  [tex]cos ^{-1} \dfrac{1.7}{2}[/tex] from calculator, we get :

x = 31.79°

Therefore, the acute angle x is 31.79°.

15 plus 4 times 2Step-by-step explanation:

38

Answer:

2.5 hrs

Step-by-step explanation:

4x2.5=10

2x2.5=5

10+5=15

:)