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Natali [406]
2 years ago
6

In the diagram, EFG= OPQ complete the statement

Mathematics
1 answer:
Igoryamba2 years ago
8 0
2) EF is congruent to OP
3) angle P is congruent to angle F
4) angle G is congruent to angle Q (that weird upside down parentheses, I think that is a Q)
5) measure of angle O equals 110 degrees and it equals the measure of angle E
6)QO equals GE and it is 7km
7) triangle GFE is congruent to triangle QPO
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The triangle shown in the diagram is going to be dilated by a scale factor of 1 3 . What is the length of the new side that corr
Rufina [12.5K]
What’s is side AB if I don’t have that I don’t know how to figure out how they correspond
3 0
3 years ago
For each expression, combine like terms and write an equivalent expression with fever terms.
ASHA 777 [7]

Answer:

1. 7x

2. 8x - 1

3. 6x + 12

4. 3x + 4

5. 13x - 7

Step-by-Step Explanation:

Hope this helps!

7 0
3 years ago
Read 2 more answers
Gabriel wants to paint the model. How
enyata [817]

Answer:

<h2>The area of the base is 144 square inches.</h2><h2>The area of each triangular face is 66 square inches.</h2><h2>Grabiel needs 408 square inches of paint.</h2>

Step-by-step explanation:

The complete problem is attached.

Notice that the figure is a square pyramid, where its base dimensions are 12 inches by 12 inches, which represents an area of

B=12 \times 12 = 144 \ in^{2}

The slant height of the pyramid is 11 inches, which allow us to find the area of each triangle face

A=\frac{1}{2}bh =\frac{1}{2}(12)(11)= 66 \ in^{2}

But there are four triangle faces, so A_{faces} =4(66)=264 \ in^{2}.

Therefore, the area of each triangular face is 66 square inches.

So, the total surface area would be the sum

S=144+264=408 \ in^{2}

Therefore, Gabriel needs 408 square inches to paint the whole model.

4 0
3 years ago
Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand
victus00 [196]

Answer:

Option D -0.67

Step-by-step explanation:

Given : Preference of Brand A =30% ⇒ P(A)=\frac{30}{100}=0.3

Preference of Brand B =70% ⇒ P(B)=\frac{70}{100}=0.7

Prefer Brand A and are Female = 20% ⇒ P(A/F)=\frac{20}{100}=0.2

Prefer Brand B and are Female = 40% ⇒ P(B/F)=\frac{40}{100}=0.4

To find : Selected consumer is female, given that the person prefers Brand A P(F/A)

Solution : Using Bayes' theorem, which state that

P(A/B)=\frac{P(B/A)P(A)}{P(B)}

where, P(A) and P(B) are probabilities of observing A and B.

P(B/A)= is a conditional probability where event B occur and A is true

P(A/B)= also a conditional probability where event A occur and B is true.

Now, applying Bayes' theorem,

P(F/A)=\frac{P(A/F)P(A)}{P(B)P(B/F)+P(A)P(A/F)}

P(F/A)=\frac{(0.2)(0.3)}{(0.7)(0.4)+(0.3)(0.2)}

P(F/A)=\frac{0.6}{0.28+0.6}

P(F/A)=\frac{0.6}{0.88}

P(F/A)=0.68

Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67

3 0
3 years ago
Read 2 more answers
A total of 300 pine and maple trees will be planted in a park. There will be 2 pine trees planted for every 3 maple trees plante
mars1129 [50]

Answer:

  120

Step-by-step explanation:

2 of every 5 trees are pine trees.

  2/5 · 300 = 120

120 pine trees are going to be planted in the park.

5 0
3 years ago
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