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xenn [34]
3 years ago
8

15 points. Please explain your answer thanks so much.:)

Mathematics
1 answer:
Anni [7]3 years ago
7 0

Answer:

CDJ= 34

Step-by-step explanation:

We know that ADJ = 90 degrees  

ADK = 180 degrees  and JDK equals 90 degrees so ADJ must equal 90 degrees

ADJ = ADC+CDJ

ADJ =4x+ 3x-8

Since ADJ = 90 degrees

90 = 4x+3x-8

Combine like terms

90 = 7x-8

Add 8 to each side

90+8 = 7x-8+8

98 = 7x

Divide each side by 7

98/7 = 7x/7

14 =x

We want to know CDJ

CDJ = 3x-8

CDJ = 3(14) -8

CDJ = 42-8

CDJ= 34

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Please answer as quickly as possible!
vodomira [7]

Answer:

y = x + 2

Step-by-step explanation:

y - 3 = x - 1

  +3       +3

y = x + 2



7 0
3 years ago
The difference between a number and three is multiplied by negative six. The result is eighteen. What is the number?
Arte-miy333 [17]

Answer:

<em>n = 0</em>

Step-by-step explanation:

- 6(n - 3) = 18

n - 3 = 18 ÷ ( - 6)

n - 3 = - 3 ⇒ <em>n = 0</em>

3 0
3 years ago
Estimate the original volume of the pyramid in Fig. 15.28, given that its frustum has a 4 m by 4 m square top which is 12 m vert
puteri [66]

The volume of the pyramid is 2496 cu.m.

<h3>What is a Pyramid ?</h3>

A pyramid is a three dimensional structure which has a polygon base and  in general triangular faces which join at the top .

It is given that

A pyramid \rm frustum has a 4 m by 4 m square top

Height = 12 m

Base = 20 m

The volume of a square pyramid with a  \rm frustum is given by

V = (1/2) * ( Area of base + Area of  \rm frustum ) * height of the  \rm frustum from the base

V = 0.5 * ( 20 *20 + 4*4 ) * 12

V = 2496 cu.m

The volume of the pyramid is 2496 cu.m.

To know more about Pyramid

brainly.com/question/13057463

#SPJ1

8 0
2 years ago
Solve for x in the triangle<br> A 25.6<br> B 27.8<br> C 45.6<br> D 64.4
labwork [276]

Answer:

The measure of angle x is 64.4\°

Step-by-step explanation:

To find the measure of angle X, apply the law of cosines

The law of cosines states that

c^{2}=a^{2}+b^{2}-2(a)(b)cos(C)

In  this problem we have

a=19\ cm

b=25\ cm

c=24\ cm

C=x\°

substitute

24^{2}=19^{2}+25^{2}-2(19)(25)cos(C)

576=986-950cos(C)

cos(C)=(986-576)/950

C=arccos[(986-576)/950]=64.4\°

Therefore

The measure of angle x is 64.4\°

7 0
4 years ago
Subtract the quotient of 18 and 2 from the sum 22 and 9
dexar [7]

Quotient, implies division, so the quotient of 18 and 2 is 6:

18/2=6

Sum implies addition, so the sum of 22 and 9 is 31:
22+9=31

Now we can subtract the quotient of 18 and 2, '6', from the sum of 22 and 9, '31'.

31-6=25

Answer=25
6 0
3 years ago
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