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4 years ago

TIMED PLZ HELP Analyze the diagram below and complete the instructions that follow.

Mathematics

1 answer:

ollegr [7]4 years ago

8 0

Both angles are supplementary, as line DB bisects line AC. This means that both angle ABD and angle DBC will add up to 180.

Set up an equation that represents their adding up to 180:

$7x + (x - 4) = 180$

Simplify the equation:

$7x + x = 8x$
$8x - 4 = 180$

Add 4 to both sides:

$8x = 184$

Divide both sides by 8 to get x by itself:

$x = 23$

Plug the value of x into the given equation for angle DBC:

$23 - 4 = 19$

m<DBC is 19 degrees wide.

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6 – 2x = 24 -6 - 6 2x = 18 2 2 x = 9 Is this statement true or false?

love history [14]

False . x=4
6-2x=24
+2
6x=24
24/6=4

8 0

3 years ago

Two poles, AB and ED, are fixed to the ground with the help of ropes AC and EC, as shown:

kipiarov [429]

Answer:

15.59 feet

Step-by-step explanation:

We need to find BC and CD

First find BC

We can use the Pythagorean theorem

AB^2 + BC^2 = AC^2

11^2 + BC^2 = 13^2

121 + BC^2 =169

Subtract 121 from each side

121-121+BC^2 = 169-121

BC^2 = 48

Take the square of each side

sqrt(BC^2 ) = sqrt( 48)

BC = 6.92820323

then we need to find CD

We can use the Pythagorean theorem

CD^2 + DE^2 = CE^2

CD^2 + 5^2 = 10^2

CD^2 + 25 =100

Subtract 25 from each side

CD^2 + 25-25 =100-25

CD^2 = 75

Take the square of each side

sqrt(CD^2 ) = sqrt( 75)

BC = 8.660254038

BD = BC +CD

= 6.92820323 + 8.660254038

15.58845727

7 0

4 years ago

Find the volume of the right cone below in terms of π. hight 9 diamiter 6

Eduardwww [97]

About 84.82

Step-by-step explanation:

The formula to find the volume of a cone is pi*r^2*(h/3). The formula to find radius is diameter/2. 6/2=3. Since r=3 and h=9, pi*3^2*(9/3)=84.82

4 0

3 years ago

In whole milk, 13 parts out of 400 are milk fat. In 2% milk, 1 part out of 50 is milk fat. Which type of milk has more milk fat

ale4655 [162]

Whole milk because 1 out 50 milk fat is equal to 9 out of 400 milk fat so whole milk has more.

4 0

3 years ago

Read 2 more answers

what is the answer here 90 student went to the zoo, 3 had hamburger milk and cake; had 5 milk and hamburger; 10 had cake and mil

dangina [55]

Answer:

a) 37

b) 2

c) 17

d) 8

Step-by-step explanation:

90 Students went to the zoo. 3 had hamburger, milk and cake; 5 had milk and hamburger, 10 had cake and milk; 8 had cake and hamburger; 24 had hamburger; 38 had cake; 20 had milk. How many had a. nothing b. cake only c. milk only d. hamburger only

Solution:

Let h represent students that ate hamburger, m represent students that had milk and c represent students that had cake.

Given that:

n(h ∩ m ∩ c) = 3, n(m ∩ h) = 5, n(c ∩ m) = 10, n(c ∩ h) = 8, n(h) = 24, n(c) = 38, n(m) = 20

The number of students that had nothing = n(h ∪ m ∪ C)'

The number of students that had only milk = n(m ∩ h' ∩ C')

The number of students that had only cake = n(m' ∩ h' ∩ C)

The number of students that had only hamburger = n(m' ∩ h ∩ C')

a) n(m ∩ h' ∩ C') = n(m) - n(m ∩ h) - n(c ∩ m) - n(h ∩ m ∩ c) = 20 - 5 - 10 - 3 = 2

n(m' ∩ h ∩ C') = n(h) - n(m ∩ h) - n(c ∩ h) - n(h ∩ m ∩ c) = 24 - 5 - 8 - 3 = 8

n(m' ∩ h' ∩ C) = n(m) - n(m ∩ c) - n(c ∩ h) - n(h ∩ m ∩ c) = 38 - 10 - 8 - 3 = 17

n(m ∩ h' ∩ C') + n(m' ∩ h ∩ C') + n(m' ∩ h' ∩ C) + n(h ∪ m ∪ C)' + n(h ∩ m ∩ c) + n(m ∩ h) + n(c ∩ m) + n(c ∩ h) = 90

2 + 8 + 17 + 5 + 10 + 8 + 3 + n(h ∪ m ∪ C)' = 90

53 + n(h ∪ m ∪ C)' = 90

n(h ∪ m ∪ C)' = 37

b) n(m' ∩ h' ∩ C) = 17

c) n(m ∩ h' ∩ C') = 2

d) n(m' ∩ h ∩ C') = 8

4 0

3 years ago