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Simora [160]
3 years ago
5

Summer school please help

Mathematics
1 answer:
GalinKa [24]3 years ago
5 0
Step One
Set up a proof for congruent triangles.
By SAS The triangles are congruent. That comes from the fact that <ABD = <ABE (a perpendicular to a straight line will produce 2 right angles) if they are interior to a triangle as well)
DB = BE That comes from the bisector part of the givens.
AB = AB That's always true.

AD = AE Congruent triangles have equal corresponding sides.

Step Two
Set up the equation.
AD = AE
x - 10 = 2x - 34    Add 34 to both sides.
x - 10 + 34 = 2x   
x + 24 = 2x          Subtract x from both sides.
24 = 2x - x
24 = x  

Answer C <<<<<

Problem 2
Find AD if AD = x - 10

Givens 
x = 24 from the previous question.

Solve
AD = 24 - 10
AD = 14
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I need help on a mathematics question. I need an explanation.
romanna [79]
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4 0
3 years ago
the width of a rectangle is x centimetres and its length is (x+ 2) cm. Write down an expression for the perimeter of the rectang
yKpoI14uk [10]

Given:

The width of a rectangle is x centimeters and its length is (x+ 2) cm.

To find:

The expression for the perimeter of the rectangle.

Solution:

We know that, perimeter of a rectangle is

Perimeter=2(Length+Width)

We have,

Width = x cm

Length = (x+2) cm

Putting these values in the above formula, we get

Perimeter=2((x+2)+x)

Perimeter=2(2x+2)

Perimeter=2(2x)+2(2)

Perimeter=4x+4

Therefore, the required expression for the perimeter of the rectangle is (4x+4) cm.

6 0
3 years ago
Name two solutions for each inequality.
ahrayia [7]
So,

#1: n  \geq 3 \frac{11}{16} + 4 \frac{1}{2}

Convert to like improper fractions.
n  \geq  \frac{59}{16} +  \frac{72}{16}

Add.
n  \geq  \frac{131}{16}\ or\ 8 \frac{3}{16}

So, one solution could be 8 \frac{3}{16}.

Another solution could by 9.  There is also 10, 11, 12, etc., and all numbers in between.


#2: k \ \textless \  6  \frac{2}{5} * 15

Convert into improper fraction form.
k \ \textless \ \frac{32}{5} * 15

Multiply.
\frac{(2^5)(3)(5)}{5}

Cross-cancel, and we have our final result.
(2^5)(3) = 96
k < 96

96 is not a solution.

95 is a solution.

So is 94, 93, 92, etc, and all numbers in between.
6 0
3 years ago
Write the numerical expression 34 in expanded form.
garik1379 [7]

Answer:

not sure what type you mean but here are options

Step-by-step explanation:

30+4=34

thirty-four

5 0
2 years ago
A jeweler orders necklaces from a website that offers $6 shipping for any-size order. Each necklace costs $7. The jeweler wants
Furkat [3]

Answer:

c = $7n + $6

Step-by-step explanation:

$6 shipping for any size

$7 per necklace

let n equal the quantity of necklaces and c equal the total cost.

you buy n amount of necklaces and add the shipping cost to find your cost.

7 0
3 years ago
Read 2 more answers
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