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BlackZzzverrR [31]
3 years ago
11

ABCD is a parallelogram. Find the measure of ABC.

Mathematics
1 answer:
MaRussiya [10]3 years ago
6 0

Answer:

50°

Step-by-step explanation:

As we know that the opposite angles of parallelogram are equal so

< ADC = < ABC

< ABC = 38° +12°

< ABC = 50°

Hope it will help :)

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6 more than 5 times a number is 26. What is the number?
lubasha [3.4K]
Hey there!
We'll define "the number" as x. We know that "is" signifies an equals sign and therefore an equation, and we're going to be adding six to five times x. Therefore, we have:
5x + 6 = 26
Add -6 to both sides:
5x = 20
Divide both sides by 5 to get:
x = 4
So, 4 is the number.
Hope this helps!
4 0
3 years ago
In the parallelogram below, solve for X<br> Options<br> 4<br> 10<br> 25<br> 100
Sever21 [200]

Answer:

4

Step-by-step explanation:

The sides of a parallelogram are parallel, which means 25x and 100 are alternate angles and therefore equal.

25x=100

x=4

7 0
3 years ago
Can someone help me with this page
Ksju [112]
The first one is A. Number 2 is d. Number 3 is b because 20x20=400 and 21x21=441 and when you add them together you get 841 or 29x29. Number 4 is b because complementary angles are also right angles, they have to add up to 90 degrees. Number 5 is a because every angle is less than 90 degree. Number 6 is 30 because 60+90+x = 180 and when you solve for x you will get 30 degrees.
7 0
3 years ago
Any help would be appreciated. Thank you!
trapecia [35]

Answer:

Area =62.5\sqrt{6} square units

AB=5\sqrt{15} units

BC=5\sqrt{10} units

Step-by-step explanation:

In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.

So,

BD^2=15\cdot 10\\ \\BD^2=150\\ \\BD=\sqrt{150}=5\sqrt{6}\ units

a. The area of the triangle ABC is

A_{ABC}=\dfrac{1}{2}\cdot BD\cdot AC=\dfrac{1}{2}\cdot 5\sqrt{6}\cdot (15+10)=\dfrac{125\sqrt{6}}{2}=62.5\sqrt{6}\ un^2.

b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so

AB^2=AD\cdot AC=15\cdot 25\Rightarrow AB=5\sqrt{15}\ units\\ \\BC^2=CD\cdot AC=10\cdot 25\Rightarrow BC=5\sqrt{10}\ units

5 0
3 years ago
Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12%
Ad libitum [116K]
The answer to this question would be <span>B. Mystic
</span><span>

Since the rate should be constant, option C and D wouldn't be true.</span>
If the Four Rivers bank gives 12% per year and Mystic Bank gives 14% per year, it will be 3% per quarter year for Four Rivers Bank and 7% semiannually for Mystic Bank. 
The total rate would become:
Four rivers 103%^4= 1.125
Mystic : 107%^2= 1.145

5 0
3 years ago
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