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BaLLatris [955]
3 years ago
14

WILL GIVE BRAINLIEST! DO NOT COPY ANSWERS OFF INTERNET

Mathematics
2 answers:
Alla [95]3 years ago
5 0

Answer:

ITS EITHER B OR C but im 75 percent sure its b

Step-by-step explanation:

Anarel [89]3 years ago
3 0

Answer:

Option A    

Step-by-step explanation:

angles ABD and DBC are complementary                     given

angle ABD=50 degrees                                                   given

angles ABD and DBC = 90 degrees                              def. of complementary

angle DBC = 40 degrees                                                algebra (90-50=40)

angles EBF and ABD are vertical angles               vertical angles postulate

angle EBF is congruent to angle ABD                           def. of vertical angles

angle EBF = 50 degrees                                                def. of congruence

angles EBF and ABF are a linear pair                            def. of linear pair

angles EBF and ABF are supplementary                       def. of linear pair

angles EBF and ABF = 180                                              def. of supplementary

angle ABF = 130 degrees                                                algebra (180-50=130)

angles ABF and EBD are vertical angles                   vertical angles postulate

angles ABF and EBD are congruent                               def. of vertical angles

angle EBD = 130 degrees                                                def. of congruence

angles CBE + DBC = EBD                                                diagram

angles CBE + DBC = 130 degrees               transitive property of congruence                

angle ABD = 90                                            algebra (130-40=90)

B is needed in the process, but the main statement that actually does the justification is A, so option A

You might be interested in
What is negation of any number
mamaluj [8]

Answer:

More informally: The two's complement of an integer is exactly the same thing as its negation. ... It means "to find the negation of a number (i.e., its two's complement) you flip every bit then add 1"

7 0
3 years ago
Please help thanks thanks thanks ty
Archy [21]

Answer:

104 degrees

Step-by-step explanation:

First let's start by finding Angle DGC. Since Angle FGD and DGC are a linear pair, Angle DGC = 180-90 = 90 degrees.

Next we need to find GDC

Angles in a triangle add up to 180 degrees therefore...

Angle GDC + DCG + DGC = 180

Plug in the values we found into the equation

Angle GDC + 37 + 90 = 180

Angle GDC + 127 = 180

Angle GDC = 53

Therefore Angle ADC = 53 + 51 = 104 degrees

Since ABCD is a parallelogram, then opposite angles are equal therefore...

Angle B = 104 degrees

3 0
2 years ago
1. Which ordered pairs are solutions to the inequality –3x + y ≥ 7?
Murrr4er [49]
Q1. The answers are (–1, 8), (0, 7), (3, 18)

<span>–3x + y ≥ 7
</span>Let's go through all choices:

<span>(–2, –3) 
</span>(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
3 ≥ 7       INCORRECT

(–1, 8) 
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7       CORRECT

(0, 7) 
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7       CORRECT

(1, 9) 
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
6 ≥ 7       INCORRECT

(3, 18) 
(-3) * 3 + 18 ≥ 7
-9 + 18 ≥ 7
9 ≥ 7       CORRECT



Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
<span>y ≥ 0
</span>
<span>x - small boxes
</span><span>y - large boxes

</span>He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each <span>on a shelf that holds up to 80 lb:
5x + 12y </span>≤ 80

Jude needs at least 4 small boxes on the shelf: x ≥ 4

Let's check if y can be 0:
5x + 12y ≤ 80
5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
x ≤ 80 / 5
x ≤ 16

x ≥ 4 can include x ≤ 16

So, y can be 0: y ≥ 0
8 0
2 years ago
Substitution method- y=-x+4 and y=3x
kumpel [21]
Substitue y=3x into the other equation to get 3x=-x+4. Solve this to get 4x=4 therefore x=1.
knowing this, y=3
5 0
3 years ago
TotCo is developing a new deluxe baby bassinet. If the length of a newborn baby is normally distributed with a mean of 50 cm and
slavikrds [6]

Answer:

91.63 cm is the interior length of the bassinet to ensure that 99 percent of newborn babies will fit, with a safety margin of 15 cm on each end of the bassinet.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50 cm

Standard Deviation, σ = 5 cm

We are given that the distribution of  length of a newborn baby is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(X<x) = 0.99

We have to find the value of x such that the probability is 0.99

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 50}{5})=0.99  

Calculation the value from standard normal table, we have,  

P(z

\displaystyle\frac{x - 50}{5} = 2.326\\x = 61.63  

Thus, 99% of newborn babies will have a length of 61.63 cm or less.

There is a safety margin of 15 cm on each end of the bassinet

Length of bassinet =

61+63 + 15 +15 = 91.63\text{ cm}

6 0
3 years ago
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