All categories

3 years ago

ABCD is a parallelogram. Find the measure of angle ABC.

Mathematics

2 answers:

iVinArrow [24]3 years ago

5 0

Answer:

∠ABC = 50°

Step-by-step explanation:

Since this is a parallelogram, opposite angles are congruent.

Therefore, ∠D ≅ ∠B

∠D = 38° + 12°

∠B = 38° + 12°

∠B = 50°

∠ABC = 50°

Blababa [14]3 years ago

5 0

Answer:

the things wont load whats the question?

Step-by-step explanation:

You might be interested in

What the coordinates of the midpoint of (2,4) and (3,5)

Veseljchak [2.6K]

)=(2,3) and (x

)=(4,7)

by midpoint formula, coordinates of mid point =(

)

2+4

3+7

)=(

)=(3,5).

8 0

3 years ago

a) How many significant figures are in the numbers 99 and 100? (b) If the uncertainty in each number is 1, what is the percent u

levacccp [35]

Answer:

2, 3

1.01, 1

Percentage uncertainty

Step-by-step explanation:

a) The significant figures in the number 99 is 2

The significant figures in the number 100 is 3

b) Uncertainty in each of the numbers for both the numbers is 1

Percentage uncertainty

$\text{Percentage uncertainty}=\frac{\text{Uncertainty}}{Value}\times 100 \\\Rightarrow \text{Percentage uncertainty}=\frac{1}{99}\times 100=1.01$

Percentage uncertainty = 1.01

100

$\text{Percentage uncertainty}=\frac{\text{Uncertainty}}{Value}\times 100 \\\Rightarrow \text{Percentage uncertainty}=\frac{1}{100}\times 100=1$

Percentage uncertainty = 1

c) Percentage uncertainty is a better way to express the numbers as the significant figures do not show the actual value of the numbers.

6 0

4 years ago

8<br> .<br> y = 3x - 2<br> m=<br> b=

yan [13]

Answer:

m is 3 since it's the slope and b is -2 since its the y-intercept

Step-by-step explanation:

the formula is y=mx+b so 3 is in the m spot and -2 is in the b spot.

5 0

3 years ago

Read 2 more answers

Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), a

hram777 [196]

Answer:

$(1,1)$

Step-by-step explanation:

Given: E, F, G, H denote the three coordinates of the area fenced

To find: coordinates of point H

Solution:

According to distance formula,

length of side joining points $(x_1,y_1)\,,\,(x_2,y_2)$ is equal to $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So,

$EF=\sqrt{(3-1)^2+(5-5)^2}=2\,\,units\\FG=\sqrt{(6-3)^2+(1-5)^2}=\sqrt{9+16}=5\,\,units\\GH=\sqrt{(x-6)^2+(y-1)^2}\\EH=\sqrt{(x-1)^2+(y-5)^2}$

Perimeter of a figure is the length of its outline.

$EF+FG+GH+EH=16\\2+5+\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16-2-5\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

Put $(x,y)=(1,1)$

$\sqrt{(1-6)^2+(1-1)^2}+\sqrt{(1-1)^2+(1-5)^2}=9\\\sqrt{25}+\sqrt{16}=9\\5+4=9\\9=9$

This is true.

So, the point $(1,1)$ satisfies the equation $\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

So, point H is $(1,1)$ .

7 0

3 years ago

1/2 of the base times the height is the area of a *?

Juli2301 [7.4K]

Answer:

Triangle

Step-by-step explanation:

The triangle has the formula that have b*h/1/2.

5 0

3 years ago

Read 2 more answers

ABCD is a parallelogram. Find the measure of angle ABC.​

ABCD is a parallelogram. Find the measure of angle ABC.