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spayn [35]
2 years ago
15

In the diagram, which angles are vertical angles? Select two

Mathematics
2 answers:
lakkis [162]2 years ago
8 0

Answer:

∠ABE and ∠CBD

∠ABC and ∠EBD

Step-by-step explanation:

we know that

<u>Vertical angle</u>s are a pair of opposite and congruent angles formed by intersecting lines

In this problem we have that

∠ABE=∠CBD ------> by vertical angles

∠ABC=∠EBD ------> by vertical angles

therefore

The angles that are vertical angles are

∠ABE and ∠CBD

∠ABC and ∠EBD

lilavasa [31]2 years ago
3 0

Answer:

B:\angle ABE=\angle CBD

D:\angle ABC=\angle EBD

Step-by-step explanation:

We are given that a figure

We have to find the pair of vertical angle and select two options

Vertical angle:When two lines are intersect to each other then opposite angles are called vertical angle.

From a given diagram

We can see that

\angle ABE=\angle CBD (vertical angle )

\angle ABC=\angle EBD (vertical angle )

Hence, option D and E are true.

Answer:D:\angle ABC=\angle EBD

B:\angle ABE=\angle BCD

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Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 4x = 5
Ksenya-84 [330]
Solve for x over the real numbers:
x^2 - 4 x = 5

Subtract 5 from both sides:
x^2 - 4 x - 5 = 0

x = (4 ± sqrt((-4)^2 - 4 (-5)))/2 = (4 ± sqrt(16 + 20))/2 = (4 ± sqrt(36))/2:
x = (4 + sqrt(36))/2 or x = (4 - sqrt(36))/2

sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:
x = (4 + 6)/2 or x = (4 - 6)/2

(4 + 6)/2 = 10/2 = 5:
x = 5 or x = (4 - 6)/2

(4 - 6)/2 = -2/2 = -1:

Answer:  x = 5 or x = -1
8 0
2 years ago
Read 2 more answers
Each month, Kaisorn deposits $50.00 onto her public transportation card. It costs her $2.50 per trip to ride the subway. Thom de
ratelena [41]

Answer:

\left \{ {{50-2.5x = y} \atop {40-2x=y}} \right.

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In general, the probability that a blood donor has Type A blood is 0.40.Consider 8 randomly chosen blood donors, what is the pro
postnew [5]

Answer:

The probability that more than half of them have Type A blood in the sample of 8 randomly chosen donors is P(X>4)=0.1738.

Step-by-step explanation:

This can be modeled as a binomial random variable with n=8 and p=0.4.

The probability that k individuals in the sample have Type A blood can be calculated as:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{8}{k} 0.4^{k} 0.6^{8-k}\\\\\\

Then, we can calculate the probability that more than 8/2=4 have Type A blood as:

P(X>4)=P(X=5)+P(X=6)+P(X=7)+P(X=8)\\\\\\P(x=5) = \dbinom{8}{5} p^{5}(1-p)^{3}=56*0.0102*0.216=0.1239\\\\\\P(x=6) = \dbinom{8}{6} p^{6}(1-p)^{2}=28*0.0041*0.36=0.0413\\\\\\P(x=7) = \dbinom{8}{7} p^{7}(1-p)^{1}=8*0.0016*0.6=0.0079\\\\\\P(x=8) = \dbinom{8}{8} p^{8}(1-p)^{0}=1*0.0007*1=0.0007\\\\\\\\P(X>4)=0.1239+0.0413+0.0079+0.0007=0.1738

3 0
2 years ago
Mindy and Daisy are making necklaces using beads. Mindy uses 4 red beads for every 5 white beads. Daisy uses 6 red beads for eve
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Answer:

Daisy

Step-by-step explanation:

Daisy:

12/4=3

3*5=15 white beads

Mindy:

12/6=2

2*7=14 white beads

7 0
2 years ago
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