1. You can finish 9 math problems in 20/3 minutes. What is your unit rate of problems per minute?

In Exercises 37– 40, BD ⃗ bisects ∠ABC. Find m∠ABD, m∠CBD, and m∠ABC.

MrRissso [65]

Answer:

37, ABD = CBD = 44 degrees, and ABC = 88 degrees

38. ABD = CBD = 24 degrees, and ABC = 48 degrees

39. ABD = CBD = 65 degrees, and ABC = 130 degrees

40. ABD = CBD =67 degrees, and ABC = 134 degrees

Step-by-step explanation:

Recall that when a segment bisects an angle, the angle is divided in equal parts then we have:

37.

6 x + 14 = 3 x + 29

3 x = 19 - 14 = 15

x = 15/3

x = 5

then ABD = 6 (5) + 14 = 30 + 14 = 44 degrees

CBD must equal ABD , so CBD = 44 degrees

And the total angle ABC = 88 degrees

38.

3 x + 6 = 7 x - 18

24 = 4 x

x = 24/4 = 6

Then ABD = 3 (6) + 6 = 24 degrees. Also CBD = 24 degrees and ABC = 48 degrees

39.

- 4 x + 33 = 2 x + 81

- 6 x = 81 - 33

-6 x = 48

x = - 48/6

x = -8

Then ABD = -4 (-8) + 33 = 32 + 33 = 65 degrees

The also CBD = 65 degrees, and ABC = 130 degrees

40.

8 x + 35 = 11 x + 23

35 - 23 = 11 x - 8 x

12 = 3 x

x = 12/3

x = 4 degrees

Therefore:

ABD = 8 (4) + 35 = 32 + 35 = 67 degrees.

Then also CBD = 67 degrees, and ABC = 134 degrees

3 0

2 years ago

Which of the following is not an expression?

miskamm [114]

$\huge \bf༆ Answer ༄$

The Correct choice among them is ~ B

$\large \boxed{3x + 4 = 7}$

because it's a equation !

4 0

2 years ago

Read 2 more answers

There are 3 types of sweets in a jar.

KengaRu [80]

Answer:

$\frac{2}{3}$

Step-by-step explanation:

Given:

Number of eclairs = 3

Number of humbugs = $2x + 6=2(x+3)$

Number of mints = $x$

Therefore, total number of sweets in the jar is,

$S=3+2x+6+x=3x+9=3(x+3)$

Now, probability of selecting a sweet to be humbug is given as:

$P(humbug)=\frac{\textrm{number of humbugs}}{\textrm{number of sweets}}\\P(humbug)=\frac{2(x+3)}{3(x+3)}=\frac{2}{3}$

Therefore, the probability that it is a humbug is $\frac{2}{3}$ .

7 0

2 years ago

3 numbers are in arithmetic progression their sum is15 and their product is 80 determine the 3 numbers

Mashcka [7]

Answer:

2, 5, 8

Step-by-step explanation:

For starters, let us assume that the numbers are x-d, x, and x+d.

Where d is the common difference between terms.

This mean that we can say, from the question

x-d + x + x+d = 15

3x = 15,

x = 5,

This means that the terms are 5, 5-d and 5+d.

On the other hand,

(5-d) * 5 * (5+d) = 80

(5-d) * (5+d) = 80/5

(5-d) * (5+d) = 16

25 - d² = 16

d² = 9

d = + or - 3.

Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.

6 0

2 years ago

10. A In the adjoining Figure, ab is perpendicular to bc and ed is to cd while bc=cd . prove i) triangle abc is corresponding to

xxTIMURxx [149]

Part (i)

1) AB is perpendicular to BC, ED is perpendicular to CD, BC = CD (given)

2) Angles ABC and CDE are right angles (perpendicular lines form right angles)

3) Angles ABC and CDE are equal (all right angles are equal)

4) Angles ACB and DCE are equal (vertical angles are equal)

5) Triangles ABC and EDC are congruent (ASA)

Part (ii)

6) AB = DE (corresponding parts of congruent triangles are equal)

4 0

1 year ago