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Alinara [238K]
3 years ago
6

Answer all questions please

Mathematics
1 answer:
Marat540 [252]3 years ago
4 0

Answer:

4.

a. base angle

b. leg

c. vertex

d. leg

e. base

f. base


5. You have 3 pairs of corresponding congruent sides, so the property that proves the triangles are congruent would be SSS.  



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A building 84 ft high casts a 231-ft shadow. Sarah casts an 11-ft shadow. The triangle formed by the building and its shadow is
julia-pushkina [17]

Answer:

Sarah is 4 ft tall.

Step-by-step explanation:

231÷84= 2.75

11 ft ÷ 2.75 = <u>4 ft</u>

3 0
3 years ago
Jane and Jill both love to collect books. Jane has twice as many books as Jill. Together, they have a total of 216 books in thei
mezya [45]

Answer:

144

Step-by-step explanation:

Jane has 2 times as many books as Jill, so there are 3 parts. Two parts Jane and one part Jill. So, divide 216 by 3 and it's 72, which equals one part. Jane has two parts, so 72 x 2. Jane has 144 books.

5 0
3 years ago
You are a furniture restorer who is mixing a solution of olive oil and lemon juice. The solution is for polishing wooden furnitu
zzz [600]

The correct answer is A. 1.5 cups

Explanation:

The total of polishing wooden furniture is equivalent to the total of olive oil plus the total of lemon juice. Additionally, in this case, the result should be given in cups. First, let's consider the values given.

50% of a cup of lemon juice + 25% of a quart with olive oil

The first quantity 50% of a cup of lemon indicates half cup of lemon was added, which is equivalent to 0.5 cups as 1 cup = 100% of a cup and 50% is the half.

Now, the second quantity is provided in quarts, which is not the same as a cup. Indeed 1 quart is equivalent to 4 cups, which represents 100%. This means 100% = 4 cups. Now, to calculate the 25% follow this procedure.

1. Write the values

4  =  100 (total  percentage)

x =    25 (percentage to be calculated

2. Solve this by using cross multiplication

x100 = 4 × 25

x100 = 100

x = 100 ÷ 100

x = 1 (cups in 25%)

This means 1 cup of olive oil was added and this plus 0.5 cup of lemon juice is equivalent to 1.5 cups of solution.

6 0
3 years ago
6x^2 - 19x + 10 <br> Factor
3241004551 [841]

Answer:

(2x-5)(3x-2)

Step-by-step explanation:

1)When factoring quadratic equations in for ax²+bx+c you need to separate the b term in a way that the two addends you separate it by should equal a•c. Just do trial and error. In this case you should get -4 and -15. Your separated equation should be:

6x²-4x-15x+10

2)now factor out a common factor from the first two terms and one from the last two terms you should have:

2x(3x-2)-5(3x-2)

3)finally rewrite this equation into two separate factors and you have your answer.

5 0
3 years ago
The perimeter of a rectangle in which b =4 cm and A=28​
algol13

Answer:

Answer is 64.

Step-by-step explanation:

Perimeter of a rectangle is 2(l+b)

2(length + breadth)

2(28+4)

2(32)

64

Answer is 64.

5 0
3 years ago
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