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3 years ago

In the problems below, copy the problems and the picture, mark the givens, and prove the statements.

Mathematics

1 answer:

wariber [46]3 years ago

3 0

Answer:

CPCTC

Step-by-step explanation:

Triangle BUT ≅ triangle ETU. Therefore, by CPCTC (Corresponding Parts of Congruent Triangles are Congruent), we can determine that ∠B ≅ ∠E.

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If 3 x 742 = 2,226, then

Shkiper50 [21]

Answer:

Step-by-step explanation:

3 0

3 years ago

On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, ne

Mrrafil [7]

<h3>Answer: Choice C. (1,0)</h3>

============================================================

Explanation:

Point H is at (-2,2) and J is at (4,-2)

Focusing on the x coordinates, the midpoint is (x1+x2)/2 = (-2+4)/2 = 1.

The y coordinates have a midpoint of (y1+y2)/2 = (2+(-2))/2 = 0.

The midpoint is at (1,0). That's why the answer is choice C.

--------------------------

This next section is optional.

Points I and K are located at (4,3) and (-2,-3) respectively

Averaging the x coordinates gets us (x1+x2)/2 = (4+(-2))/2 = 1

Doing the same for the y coordinates gets us (y1+y2)/2 = (3+(-3))/2 = 0

We end up with the same midpoint (1,0)

The midpoint being the same for both diagonals proves that each diagonal is bisected, ie cut in half.

3 0

3 years ago

Danielle found an outfit she liked at two different stores. Store 1 marked the outfit down by 15%. They then marked down the red

guajiro [1.7K]

Answer: Store 2

Step-by-step explanation: sorry I don’t know how to explain.

6 0

3 years ago

The managers of franks snack shack buys hamburgers in packages of 30 and hamburger buns in packages of 24. He cannot buy part of

Andreas93 [3]

Answer:

He has to buy 4 packages of hamburgers in packages of 30 and 5 packages of hamburgers in packages of 24

Step-by-step explanation:

First we have to calculate the least common multiple (LCM) of 24 and 30

We will calculate the LCM of 24 and 30 by prime factorization method

24 = 2*2*2*3 = $2^{3} * 3^{1}$

30 = 2*3*5 = $2^{1} *3^{1}* 5^{1}$

LCM = $2^{3}* 3^{1}*5^{1}$

LCM = 120

So number of hamburger buns = 120

Therefore, he must buy 120/24 = 5 packages of hamburgers in packages of 24 and he must also buy 120/30 = 4 packages of hamburgers in packages of 30

4 0

3 years ago

1. (k+7)² =289<br>2. (2s-1)² =225<br>3. (x-4)² =169<br><br>please help me answer these :)

professor190 [17]

$(k+7)^2 =289\\
|k+7|=17\\
k+7=17\vee k+7=-17\\
k=10 \vee k=-24$

$(2s-1)^2 =225\\
|2s-1|=15\\
2s-1=15\vee 2s-1=-15\\
2s=16 \vee 2s=-14\\
s=8 \vee s=-7$

$(x-4)^2 =169\\
|x-4|=13\\
x-4=13 \vee x-4=-13\\
x=17 \vee x=-9$

6 0

3 years ago

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