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2 years ago

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

Mathematics

2 answers:

kicyunya [14]2 years ago

8 0

Yea they are cuz they have the same side and angle measurements

barxatty [35]2 years ago

8 0

Answer:

They are congruent

Step-by-step explanation:

The SSS congruency theorem states that the triangles are congruent. They have a shared line which is congruent becasue it si a shared line. The I and II marking on each triangle show that those lines are congruent to eachother. So II is congruent to II and I is congruent to I.

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Use the distributive property and combining like terms to solve the following equation for mm.

tangare [24]

Answer:

there are no solutions to m

Step-by-step explanation:

$- 2(m + 4) - 9 = \\ 5 - 2(m + 4) - 9 = 5$

$- 2m - 8 - 9 = 5 - 2m - 8 - 9 = 5$

$- 2m - 17 = - 2m + 5 - 8 - 9 = 5$

$- 2m - 17 = - 2m - 3 - 9 = 5$

$- 2m - 17 = - 2m - 12 = 5$

$- 2m = - 2m + 5 = 5$

$- 2m = - 2m + 5 = 5 \\ - 2m = - 2m = 0 \\ - 2m = m = 0 \\ - 2(0) = 0 \\ 0 = 0$

check

$- 2(0 + 4) - 9 = 5 \\ - 2(0 + 4) - 9 = 5 \\ \\ 0 - 8 - 9 = 5 \\ 0 - 8 - 9 = 5 \\ - 17 = 5 \\ there \: are \: no \: solutions$

4 0

3 years ago

A shopper bought 7 ears of corn and 6 pounds of bananas and paid $5.15. At the same store, another shopper bought 4 ears of corn

Novay_Z [31]

Answer:

$0.70 per ear of corn

Step-by-step explanation:

Let c = Ear of corn

Let b = pound of bananas

First shopper:

7c + 6b = $5.15

Second Shopper:

4c + 1b = $1.85

Solve one equation for b since you are solving for c:

4c + 1b = $1.85

b = $1.85 - 4c

Substitute into other equation:

7c + 6b = $5.15 <--- b = $1.85 - 4c

7c + 6 ($1.85 - 4c) = $5.15

7c + $11.1 - 24c = $5.15

-17c + $11.1 - $11.1 = $5.15 - $11.1

-17c /-17 = -$11.85 /-17

c = $0.70 per ear of corn

Leave a like and mark brainliest if this helped

3 0

3 years ago

What is the lcm of two numbers if one number is a multiple of the other. Give an example

Aleks04 [339]

The LCM of these two numbers would be the number that is the multiple of the other.

For example:

The LCM of 8 and 56 is 56 because 8 is a factor of 56 and can go into 56 seven times, and 56 is a factor of itself.

8 0

3 years ago

David has a rectangle and a right triangle.

emmasim [6.3K]

Answer:

2w^2+10w

Step-by-step explanation:

Let's start with the rectangle.

The length of the rectangle is:

L = 5 + w

The width of the rectangle is:

So, the equation of the area for the rectangle would be:

(w)(5+w) due to the area of a rectangle being length x width

Now, onto the triangle.

The length of the shorter side is equal to the width of the rectangle:

L(1) = w

The length of the longer side of the triangle is twice the length of the rectangle, so going back to what we have the rectangles length being:

L(2) = (2)(5+w) or 10 + 2w

Now to find the area of the triangle, use the equation 1/2(b)(height)

So plug it in:

1/2(w)(10 + 2w)

Which equals 1/2(10w + 2w^2)

Now, we times it by 1/2, so we will put it into a fraction:

1 x (10w + 2w^2)/2

10w + 2w^2/2

Now factor it:

2w(5 + w)/2

2 cancels out 2, so we are left with

w(w+5) = w^2 + 5w

So, the equation says what is the combined area of the rectangle and triangle

Rectangle area: w(w+5) = w^2 + 5w

Triangle area: w^2 + 5w

So, the combined area is 2w^2 + 10w

hope that helps!! I understand this question is hard, so I tried to explain as best as I can :)

for me, this is an EOC question, so to all those taking the test good luck! study hard!!

3 0

3 years ago

For each customer, a bakery charges p dollars for the first loaf of bread bought by the customer and charges q dollars for each

Dominik [7]

Answer:

Consider the complete question is,

'For each customer, a bakery charges p dollars for the first loaf of bread bought by the customer and charges q dollars for each additional loaf bought by the customer. What is the value of p ?

(1) A customer who buys 2 loaves is charged 10 percent less per loaf than a customer who buys a single loaf.

(2) A customer who buys 6 loaves of bread is charged 10 dollars.

Solution :

Since, the charges of first loaf = p dollars,

Charges for each additional loaf = q dollars

Thus, the total charges for x additional loaf = p + qx

Charges for 1 loaf = p,

Charges for 2 loaf per loaf = (p + q)/2

According to the question,

$\frac{p + q}{2} = (100-10)\%\text{ of } p$