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mina [271]
2 years ago
13

Parker grew

Mathematics
1 answer:
chubhunter [2.5K]2 years ago
3 0

Answer:

it will be 7 and 1/2

Step-by-step explanation:

2 and 1/2 x 3=7 and 1/2

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In ΔABC, m∠B = m∠C. The angle bisector of ∠B meets AC at point H and the angle bisector of ∠C meets AB at point K. Prove that BH
solniwko [45]

Answer:

See explanation

Step-by-step explanation:

In ΔABC, m∠B = m∠C.

BH is angle B bisector, then by definition of angle bisector

∠CBH ≅ ∠HBK

m∠CBH = m∠HBK = 1/2m∠B

CK is angle C bisector, then by definition of angle bisector

∠BCK ≅ ∠KCH

m∠BCK = m∠KCH = 1/2m∠C

Since m∠B = m∠C, then

m∠CBH = m∠HBK = 1/2m∠B = 1/2m∠C = m∠BCK = m∠KCH   (*)

Consider triangles CBH and BCK. In these triangles,

  • ∠CBH ≅ ∠BCK (from equality (*));
  • ∠HCB ≅ ∠KBC, because m∠B = m∠C;
  • BC ≅CB by reflexive property.

So, triangles CBH and BCK are congruent by ASA postulate.

Congruent triangles have congruent corresponding sides, hence

BH ≅ CK.

5 0
3 years ago
In testing the lethal concentration of a chemical found in polluted water. it is found that a certain concentration will kill 20
sasho [114]

Answer:

a) 0.1091

b) 0.9994

c) 0.5886

Step-by-step explanation:

X = the number of fish out of 20 that die after 24 hours

x = 0, 1, 2, . . . , 20

X~ Binomial (n= 20, p =0.20)

P(14 survive) = P(X = 6)

= nC_r p^r q^{n-r}= 20C_6 0.2^6\times0.8^{14}=0.1091

Similarly we can find out

P(at least 10 survive) = P( X <= 10 ) = (Using technology) = 0.9994

P(at most 16 will survive) = P(X <= 16) = (Using technology) = 0.5886

7 0
3 years ago
What is that equation written in standard form
melisa1 [442]
That would be 21378,6
6 0
3 years ago
Read 2 more answers
Wich set of ordered pairs does not represent a function.<br> Please help.
pantera1 [17]

Answer:

D.

Step-by-step explanation:

A function has to have only one y-value for every x-value. This means that D is not a function because it contains (6,2) and (6, 4), which means that there are 2 different y-values for the x-value of 6.

7 0
2 years ago
A credit card company wants to test the hypothesis that its account holders spend an average of $100 per month at gasoline stati
Oksi-84 [34.3K]

Answer:

test statistics = 11.57

Step-by-step explanation:

test statics = \frac{average spend from the sample - average spend  from theory}{Standard  deviation / \sqrt{no  of samples} }

= \frac{115-100}{41/\sqrt{1000} }  = 11.57

6 0
3 years ago
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