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2 years ago

Answer question please

Mathematics

1 answer:

nataly862011 [7]2 years ago

4 0

∠EFH = 6y + 14

since HF bisects ∠GFI then ∠GFH = ∠HFI = 2y + 6

hence ∠EFH = ∠EFG + ∠GFH = 4y + 8 + 2y + 6 = 6y + 14

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Product A is an 8oz. Bottle of cough medicine that sells for $1.36. Product B is a 16oz. Bottle cough medicine that costs $3.20.

Pavlova-9 [17]

Product A= 8oz = 1.36 x 2= 2.72. 16oz = 2.72

product B=16oz= 3.20

so Product A has the lower unit price.

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2 years ago

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In isosceles △ABC (AC = BC) with base angle 30° CD is a median. How long is the leg of △ABC, if sum of the perimeters of △ACD an

SIZIF [17.4K]

Note necessary facts about isosceles triangle ABC:

The median CD drawn to the base AB is also an altitude to tha base in isosceles triangle (CD⊥AB). This gives you that triangles ACD and BCD are congruent right triangles with hypotenuses AC and BC, respectively.
The legs AB and BC of isosceles triangle ABC are congruent, AC=BC.
Angles at the base AB are congruent, m∠A=m∠B=30°.

1. Consider right triangle ACD. The adjacent angle to the leg AD is 30°, so the hypotenuse AC is twice the opposite leg CD to the angle A.

AC=2CD.

2. Consider right triangle BCD. The adjacent angle to the leg BD is 30°, so the hypotenuse BC is twice the opposite leg CD to the angle B.

BC=2CD.

3. Find the perimeters of triangles ACD, BCD and ABC:

$P_{ACD}=AC+CD+AD=2CD+CD+AD=3CD+AD;$

$P_{BCD}=BC+CD+BD=2CD+CD+AD=3CD+AD;$

$P_{ABC}=AC+BC+AB=2CD+2CD+AD+BD=4CD+2AD.$

4. If sum of the perimeters of △ACD and △BCD is 20 cm more than the perimeter of △ABC, then

$P_{ACD}+P_{BCD}=P_{ABC}+20,\\ \\3CD+AD+3CD+AD=4CD+2AD+20,\\ \\6CD+2AD=4CD+2AD+20,\\ \\2CD=20.$

5. Since AC=BC=2CD, then the legs AC and BC of isosceles triangles have length 20 cm.

Answer: 20 cm.

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2 years ago

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Answer:

Step-by-step explanation:

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b) For 95% confidence level, z* = 1.96.

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We are 95% confident that the true proportion of US residents who think marijuana should be made legal lies between 58.6% and 63.4%.

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Since both np and n(1-p), are at least 10, the normal model is a good approximation for these data.

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which means

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2 years ago

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Answer:

isabella can afford neither the sedan nor the station wagon

Step-by-step explanation:

you read it and stop being a lazy

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