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4 years ago

By what rule are they congruent? (Make a chart)

Mathematics

1 answer:

trasher [3.6K]4 years ago

6 0

Answer:

ΔBDE ≅ΔBFK by rule ASA

Step-by-step explanation:

Given $BD$ ≅ $BF$

$DE$ ⊥ $BC$ and $FK$ ⊥ $AB$

So, ∠ $BDE=$ ∠ $KFB=90$ °

We can see in Δ $BDE$ and Δ $BFK$

∠ $DBE=$ ∠ $KBF$ included angle

∠ $BDE=$ ∠ $KFB=90$ ° (Given)

Also, $BD$ ≅ $BF$ (Given)

From ASA

We can see two angles and one included side are same as corresponding triangle then,

ΔBDE ≅ΔBFK by rule ASA

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Which function is a linear function?

Sophie [7]

Answer: y+ 7 = 5x

Step-by-step explanation:

A linear function is a function in which the highest power of the unknown is 1 , that is , the highest power of the variables that are unknown will be 1.

From the question given:

A : 1 - $3x^{2}$ = -y

The power of x is 2 , though the power of y is 1 but because of the existence of the power of x which is 2 , it is not linear

B : y + 7 = 5x

both the power of x and y is 1 , so it is a linear function

C: $x^{3}$ + 4 = y is not linear

D is also not linear

likewise , E is not linear

Therefore , B is the only linear function

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3 years ago

In order to determine the average weight of carry-on luggage by passengers in airplanes, a sample of 25 pieces of carry-on lugga

Fynjy0 [20]

To find the standard error, divide the standard deviation by the square root of the sample size

standard deviation = 7.5
sample size = 25......sqrt 25 = 5

standard error = 7.5 / 5 = 1.5 <==

6 0

3 years ago

Solve 4/9x+7=1/2. Solve 1/8x−12=3/4.

Elenna [48]

$\# 1 \\\\ \frac{4}{9}x+7=\frac{1}{2} \\\\ \frac{4x}{9}=\frac{1}{2}-7^{(2} \\\\ \frac{4x}{9}=\frac{1-14}{2} \\\\ \frac{4x}{9}=-\frac{13}{2} \\\\ 4x=-\frac{9*13}{2} \\\\ x=-\frac{\frac{9*13}{2}}{4} \\\\ x=-\frac{117}{2}*\frac{1}{4} \\\\ \boxed{x=-\frac{117}{8}=-14\frac{5}{8}}$

$\#2 \\\\ \frac{1}{8}x-12=\frac{3}{4} \\\\ \frac{1}{8}x=\frac{3}{4}+12^{(4} \\\\ \frac{x}{8}=\frac{3+48}{4} \\\\ \frac{x}{8}=\frac{51}{4} \\\\ x=\frac{\not8*51}{\not4} \\\\ x=2*51 \\\\ \boxed{x=102}$

4 0

3 years ago

Read 2 more answers

(For this equation any non-integer values should be entered as fractions)

bazaltina [42]

y = 2/7 x - 1/7
slope = 2/7
perpendicular lines, slope is opposite and reciprocal
so slope of new line = -7/2
passes through the point (9,-32)
slope-intercept form: y = mx + b
so
b = y - mx
b = -32 - (-7/2)(9)
b = -32 + 63/2
b = -1/2

equation in slope-intercept form:
y = -7/2 x - 1/2

8 0

3 years ago

girls made 90 brownies for a school party. they put walnuts in 3/5 of the brownies. of the brownies that had walnuts, 1/3 of tho

nevsk [136]

Answer:

only 6 brownies had both chocolate and walnuts

Step-by-step explanation:

lets found out how many brownies had walnuts.

90/5= 18

18x3= 54 brownies had walnuts.

_______________________________________________

chocolate brownies.

90/3= 30 brownies had chocolate.

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54+ 30= 84 brownies

90-84= 6

7 0

3 years ago