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3 years ago

What can you conclude about the hypotenuse of the two triangles?

Mathematics

1 answer:

kogti [31]3 years ago

5 0

Answer: C

Step-by-step explanation:

Since the sides are marked with the little lines, you know they are congruent with each other. Since the sides are congruent, you know the hypotenuse will be congruent.

You can argue that these triangles are similar, but the difference is that similar triangles are the same shape, but not the same size. These triangles are congruent because they are the same size and shape. Therefore, the hypotenuse is congruent.

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D. Write a system of two linear equations that has more than one solution.

ddd [48]

D. y=5x+6 and 2y-12-10x=0 has infinitely many solutions and both lines are linear

E. y=4x+1, y=9x+4 has the solutions x = -3/5, y = -7/5

3 0

3 years ago

Ann increased the quantities of all the ingredients in a recipe by 60\%60%60, percent. She used 808080 grams (\text{g})(g)left p

kari74 [83]

Answer:

50 grams

Step-by-step explanation:

Let the amount of cheese required by the recipe be "x"

Ann increased 60% from original amount and then used up 80 grams. Thus:

Original, increased by 60%, became 80

This translated to algebraic equation would be:

x + 0.6x = 80

Note: 60% = 60/100 = 0.6

So we can solve the above equation for "x" and get our answer. Shown below:

$x + 0.6x = 80\\1.6x=80\\x=\frac{80}{1.6}\\x=50$

Hence,

the recipe required 50 grams of cheese

6 0

3 years ago

Sally will measure the length of a wall in both centimeters and meters. Will there be fewer centimeters or fewer meters? Explain

harkovskaia [24]

There would be fewer meter. Since 1 m=100 cm.

6 0

4 years ago

Read 2 more answers

LCM of 14 and 49? Evaluate plz

ICE Princess25 [194]

Answer:

Step-by-step explanation:

Express the numbers in terms of the product of their prime factors

14 = 2 × 7

49 = 7 × 7 = 7²

Choose the factors which occur most often between the 2 numbers

LCM = 2 × 7² = 2 × 49 = 98

5 0

3 years ago

HELP!! PLEASE A carpenter is framing a window with wood trim where the length of the window is 9 and 1/3 feet. If the width of t

ohaa [14]

We need the perimeter of the window for framing

The window is in the shape of a rectangle with the height of $9 \frac{1}{3}$ feet and width of $6 \frac{3}{4}$ . The diagram of the shape is shown below

The perimeter of a shape is obtained by adding up the length of all the sides that form the shape.

The perimeter of the window is $9 \frac{1}{3}+9 \frac{1}{3}+6 \frac{3}{4}+6 \frac{3}{4}$ = $18 \frac{2}{3}+12 \frac{6}{4}$

We have two whole numbers 18 and 12 and two fractions $\frac{2}{3}$ and $\frac{6}{4}$

Adding the two fractions that have different denominator
$\frac{2}{3}+ \frac{6}{4} = \frac{8}{12}+ \frac{18}{12}= \frac{26}{12}$ , which is an improper fraction which we can change into a mixed number $2 \frac{1}{6}$

So the perimeter of the window is
$18+12+2 \frac{1}{6} =32 \frac{1}{6}$

and the length of wood needed for the frame is $32 \frac{1}{6}$ feet

4 0

3 years ago