All categories

3 years ago

Can someone please help me with 44. And 45?

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

6 0

Problem 44

The term "bisect" means "cut in half".

Since BD bisects angle ABC, this means the smaller angles ABD and DBC are congruent.

angle ABD = angle DBC

x+15 = 4x-45

15+45 = 4x-x

60 = 3x

3x = 60

x = 60/3

x = 20

<h3>Answer: x = 20</h3>

========================================================

Problem 45

We use the same idea as the previous problem

angle ABD = angle DBC

2x+35 = 5x-22

35+22 = 5x-2x

57 = 3x

3x = 57

x = 57/3

x = 19

<h3>Answer: x = 19</h3>

OLga [1]3 years ago

6 0

Answer:

44. x = 20

45. x = 19

Step-by-step explanation:

44:

x + 15 = 4x - 45

Subtract x from both sides.

15 = 3x - 45

Add 45 to both sides.

60 = 3x

Divide both sides by 3.

x = 20

45:

2x + 35 = 5x - 22

Subtract 2x from both sides.

35 = 3x - 22

Add 22 to both sides.

57 = 3x

Divide both sides by 3.

x = 19

You might be interested in

A laptop is in the shape of a rectangular prism. The laptop has a length of 14 inches, a width of 10 inches, and a height of 1 i

Aleks04 [339]

Answer:

140 inches

Step-by-step explanation:

The formula for volume or a rectangular prism is v=lwh

Length = 14

Width= 10

Height= 1

Multiplying them together gives you the volume which is 140

6 0

4 years ago

Points A, B, and C are midpoints of the sides of right triangle DEF.

Radda [10]

Answer:

1) True 2) True 3) False 4) True

Step-by-step explanation:

In this question let's verify those options

1.Triangle A B C is inside triangle D E F. (true)

If A, B and C are midpoints of DEF then connecting those midpoints we have an interior triangle.

2. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. (true)

3. Angles D F E and A B C are right angles. (false)

These triangles are similar. And In this case, the right angles are:

$E\hat{D}F\cong A\hat{C}B=90^{\circ}\\\measuredangle D=\measuredangle C=90^{\circ}$

D and C are opposed to the larger side, and not F, and B

Because: $\measuredangle F\cong\measuredangle B \neq90^{\circ}$

4. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters. (true)

Let's test this by the Pythagorean Theorem. For DE is the hypotenuse and FD and FE is their legs.

$\overline{DE}=\sqrt{FD^{2}+FE^{2}}\\\overline{DE}=\sqrt{8^{2}+6^{2}}\\10= \sqrt{100}\\10=10$

8 0

3 years ago

Read 2 more answers

One label on a package of bolts says that each bolt has a diameter of 0.55 inch. To be in the package, the percent error of the

Illusion [34]

Answer:

If the bolt is .52, it is between .517 and .583, so it can go in the package.

Step-by-step explanation:

The first step is to determine what the error amount is

6% of .55

.06*.55 =.033

The bolt must be within .033 of .55

.55 - .033 = .517

.55 + .033 = .583

The bolt must be between .517 and .583 inches

If the bolt is .52, it is between .517 and .583, so it can go in the package.

4 0

4 years ago

Jay has two boards. The length of the first board is 1 and 2-thirds feet, and the length of the second board is 5-eighths foot.

LekaFEV [45]

She is not correct, since the combined length of both boards is more than 2 feet

4 0

3 years ago

What is the product of −225 and −356 ? −915 −6730 613 915

Sunny_sXe [5.5K]

Hello from MrBillDoesMath!

Answer:

80,100 (which is NONE of the provided answers)

Discussion:

-225 * -356 =

+ (225 * 356) = as the product of two negative numbers is positive

80,100

Regards,

MrB

P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

7 0

3 years ago

Read 2 more answers