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4 years ago

Which triangles are similar by the angle-angle criterion for similarity of triangles ?

Mathematics

1 answer:

Alex Ar [27]4 years ago

5 0

Answer:

Option D is correct.

$\triangle ADE \sim \triangle ABC$

Step-by-step explanation:

In triangle ADE and triangle ABC

From the figure:

$\angle ADE = \angle ABE$ [Angle] [Given]

$\angle DAE = \angle BAC$ [Angle]

AA(Angle-Angle) similarity criterion states that in two triangles if two pairs of corresponding angles are equal, then these triangle Similar.

By AA similarity:

⇒ $\triangle ADE \sim \triangle ABC$

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Sienna has 5 3/4 pounds of grapes. She eats 1/8 pound and gives 2 1/2 pounds to her brother. How many pounds of grapes does Sien

miskamm [114]

The pounds of grapes left with seinna is 3.125 or $\frac{25}{8}$ pounds

<h3>Solution:</h3>

Given that Sienna has $5\frac{3}{4}$ pounds of grapes

She eats $\frac{1}{8}$ pound and gives $2\frac{1}{2}$ pounds to her brother

To find: pounds of grapes left with seinna

We can find the pounds of grapes left with seinna by subtracting the pounds of grapes she ate and pounds of grapes she gave to brother from the total pounds of grapes she had

Pounds of grapes left with seinna = total pounds of grapes - pounds of grapes she ate - pounds of grapes she gave to brother

$\text {total pounds of grapes }=5 \frac{3}{4}=\frac{4 \times 5+3}{4}=\frac{23}{4}$

$\text {pounds of grapes she ate }=\frac{1}{8}$

$\text {pounds of grapes she gave to brother }=2 \frac{1}{2}=\frac{2 \times 2+1}{2}=\frac{5}{2}$

Substituting the values we get,

$\text {Pounds of grapes left with seinna }=\frac{23}{4}-\frac{1}{8}-\frac{5}{2}$

$\text { Pounds of grapes left with seinna }=5.75-0.125-2.5=3.125$

Thus the pounds of grapes left with seinna is 3.125 or $\frac{25}{8}$ pounds

5 0

3 years ago

Write an equation of the line that passes through (0,4) and (1,2).

cupoosta [38]

Answer:

Step-by-step explanation:

Let's assume this is a straight line, so we can use the basic form of a straight line equation: y=mx+b, where m is the slope and b is the y-intercept (the value of y when x is zero).

The slope is the rate of change of the line, and can be calculated by dividing the change in y by the change in x between any two points. Here: (0,4) and (1,2)

The change in y is known as the "Rise." Going from (0,4) to (1,2), we have a change of -2:

(2 - 4) = -2 This is the Rise (Final minus the initial values)

X changes by 1 (1-0) = 1 (Final minus the initial values)

Rise/Run = -2/1 or -2

The slope, m, is -2. Values of y decrease as x increases.

The equation becomes y = -2x+b

The value of b must be such it forces the line to go between the two points. We can calculate b by i=using one of the two points in out unfinished equation and solve for b. I'll pick (1,2).

y = -2x+b

2 = -2*(1) + b

b = 4

The equation becomes y=-2x+4

6 0

3 years ago

Match each word to its definition

maxonik [38]

All i know is that 1 is the fourth option and 3 is the last option. I would assume 2 is the first option, 4 is the second option, 5 is the fifth option, and 6 is the third option, but be sure to check yourself. I hope this helps!

7 0

2 years ago

Read 2 more answers

I have no clue Someone Please Help!!!!!

erma4kov [3.2K]

Answer:

Step-by-step explanation:

we have to see the value of y on x=-2

which is 2

so g(-2)=2

7 0

3 years ago

Does Maria have enough money for all three items? Explain.

miskamm [114]

Answer:

Yes, the art supplies cost $29.73, and I believe she has what looks on the picture to be $57

Step-by-step explanation:

5 0

3 years ago