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3 years ago

In the figure below angle ABD measures 41° what is the measure of angle ABC?

Mathematics

2 answers:

elena-s [515]3 years ago

7 0

It's going to be 82 (A)i think .

Alenkasestr [34]3 years ago

6 0

Answer: ∠ ABC=82°

Step-by-step explanation:

In the given picture, ΔABD and ΔBCD have BD as common.

In ΔABD and ΔBCD

∠C=∠A [right angle]

BD=BD [common]

CD=AD [given in the picture]

Therefore, by HL theorem ΔABD ≅ ΔBCD

⇒ ∠ABD=∠DBC=41° [corresponding parts of congruent triangles are congruent]

Now, ∠ ABC=∠ABD+∠DBC=41°+41°=82°

Hence, ∠ ABC=82°

HL theorem says that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle then both the triangles are congruent.

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3 years ago

The Thompson Family decides to plant a total of 180 plants in order to prepare for a larger

Licemer1 [7]

Answer: 54 berry plants

Step-by-step explanation:

From the sample there are:

Lettuce = 12

Tomatoes = 6

Peppers = 3

Berries = 9

The total is: = 12 + 6 + 3 + 9 = 30 plants

Berries comprise of:

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= 3/10 of the plants

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8 0

3 years ago

Molly is raising cows. She has a pasture for them that is 0.65 square miles in area. One dimension of the pasture is 0.4 miles l

dem82 [27]

Answer:

The other dimension of the pasture (width) is $1.625\ mi$

Step-by-step explanation:

In this problem I assume that the pasture has the shape of a rectangle.

Let

x -----> the length of the pasture

y -----> the width of the pasture

we know that

The area of the pasture (rectangle) is equal to

$A=xy$

we have

$A=0.65\ mi^{2}$

$x=0.4\ mi$

substitute and solve for y

$0.65=0.4y$

$y=0.65/0.4$

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5 0

3 years ago

Julie says I added three odd numbers and my answer was 50 explain why Julie cannot be correct

ANTONII [103]

Julie cannot be right. That's because if you add three odd numbers together, <em>you always get an odd number. </em>The number 50 is an Even number.

Let's try adding 3 odd numbers together a couple of times...
3 + 3 + 3 = 9
5 + 1 + 5 = 11
7 + 3 + 5 = 15
We tried 3 examples, we could not get any even number. So, Julie's claim is wrong.

8 0

3 years ago

Read 2 more answers

Please help soon!!! Will mark brainliest!!!

BartSMP [9]

REVISED ANSWER.

In the picture, I have drawn on the example given. the RC and PD are the same because They are across from each other perfectly. So the answer is still PD=400m but if there can be two answers then I would have to say another possiblity would be 200m for the diameter of the pond. The wording of this problem is tricky and the picture can throw you off a bit but I did my best to answer properly here.

So if you could mark brainliest that would be awesome.

4 0

3 years ago