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Viktor [21]
2 years ago
8

Determine if the two triangles are congruent. If they are, state how you know.

Mathematics
1 answer:
Elza [17]2 years ago
6 0
Angle-side-angle is a rule used to prove whether a given set of triangles are congruent. The ASA rule states that: If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent
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The slope of a line is -1/4 and the y-intercept is 8. Whats the x-intercept?
Fed [463]
Slope = -1/4
y-interept = 8
⇒equation:  y = -1/4x + 8

x-intercept ⇒ when y = 0
0 = -1/4x + 8
1/4x = 8
x = 8 x 4 
x = 32

Answer: x-intercept = (32,0)
7 0
2 years ago
A rectangle is 18 inches long and 9 inches wide. Find it’s area.
galina1969 [7]

Answer:

162 square inch

Step-by-step explanation:

Area = Length * Width

Area = 18*9=162

4 0
3 years ago
Alma was shopping for a T-shirt. It was 15% off everything in the store. The regular price of the shirt was $16.00 it was on sal
sergiy2304 [10]

Answer:B.) No-40 cents too high


Step-by-step explanation:

To find the answer you need to fin the discount. So basically I did 16x15 and got 240. Than I divided that by 100. I got 2.40.Than I subtract 2.40 from 16 and got $13.60. Therefore it would be B

8 0
3 years ago
Weights of different sandwiches in two lengths are shown in the table.
Alexandra [31]

Answer:

Egg salad sandwich is proportional to its length

Step-by-step explanation:

Weight of Sandwiches by Length of Roll

                                        6-inch Roll      12-Inch Roll

Cheese sandwich               \frac{1}{4}                      \frac{3}{4}

Chicken salad sandwich     \frac{3}{4}                     1\frac{3}{4}

Egg salad sandwich            \frac{2}{3}                   1\frac{1}{3}

For cheese sandwich proportion

\frac{6}{\frac{1}{4}}=\frac{12}{\frac{3}{4}}\\24 \neq 16

So, Cheese sandwich weight is not proportional to its length

For Chicken salad sandwich proportion

\frac{6}{\frac{3}{4}}=\frac{12}{\frac{7}{4}}\\8 \neq \frac{48}{7}

So, chicken salad sandwich is not proportional to its length

For Egg salad sandwich  proportion

\frac{6}{\frac{2}{3}}=\frac{12}{\frac{4}{3}}\\9=9

So, egg salad sandwich is proportional to its length

6 0
2 years ago
A bird sees a worm on the ground 50 m. below. The bird dives for the worm at a speed of 6 m/sec. The function h\left( t \right)
iragen [17]

<u>Given</u>:

The height of the bird at time t is given by the function h(t)=-4.9t^2+6t+50

We need to determine the time it takes the worm to be eaten by the bird.

<u>Time taken:</u>

The time can be determined by substituting h(t) = 0 in the function.

Thus, we have;

0=-4.9t^2+6t+50

Switch sides, we get;

-4.9t^2+6t+50=0

Let us solve the equation using the quadratic formula.

Thus, we get;

t=\frac{-6 \pm \sqrt{6^{2}-4(-4.9) 50}}{2(-4.9)}

Simplifying, we get;

t=\frac{-6 \pm \sqrt{36+980}}{-9.8}

t=\frac{-6 \pm \sqrt{1016}}{-9.8}

t=\frac{-6 \pm 31.87}{-9.8}

The values of t are given by

t=\frac{-6 + 31.87}{-9.8}   and   t=\frac{-6 - 31.87}{-9.8}

t=\frac{25.87}{-9.8}    and   t=\frac{-37.87}{-9.8}

t=-2.4    and   t=3.9

Since, the value of t cannot be negative, then t=3.9

Thus, the time taken by the bird to eat the worm is t=3.9 seconds.

Hence, Option B is the correct answer.

5 0
3 years ago
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