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3 years ago

Which criterion can be used to prove ABC and ADC are congruent?

Mathematics

2 answers:

Darya [45]3 years ago

6 0

Answer:

D. ASA

Step-by-step explanation:

In triangles ABC and ADC,

Angles BCA and DAC are congruent (from the diagram);
Angles BAC and DCA are congruent (from the diagram);
AC is congruent AC (by reflexive property).

So, the triangles ABC and CDA are congruent by ASA postulate.

ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

faltersainse [42]3 years ago

6 0

Answer:

c. ASA

Step-by-step explanation:

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If you roll a six-sided die, what is the probability that you will roll a 3?

Lana71 [14]

Answer:

the probability is 1/6, or 16.6%

7 0

3 years ago

What the slope and y intercept ? and how did you find it ?

EastWind [94]

Answer:

Slope: $m=4$

y-intercept: $b=-1$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

The slope can be found with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

In this case you can say that:

$y_2=-5\\y_1=11\\\\x_2=-1\\x_1=3$

Knowing this values you can substitute them into the formula and then evaluate, in order to find the slope. This is:

$m=\frac{-5-11}{-1-3}\\\\m=\frac{-16}{-4}\\\\m=4$

By definition, the line intersects the y-axis when the value of "x" is 0.

Notice in the table that when $x=0$ , $y=-1$

Therefore, the y-intercept is:

$b=-1$

7 0

3 years ago

T÷5/12= -3/10 Thank you if you help :)

skelet666 [1.2K]

Answer:

t = -1/8.

Step-by-step explanation:

t / 5/12 = -3/10 Invert the 5/12 and multiply:

12t / 5 = -3/10

Cross multiply:

12t * 10 = 5 * -3

120t = -15

t = -15/120 = -1/8.

7 0

3 years ago

The diameter of a circle measures 28 mm. What is the circumference of the circle?

Papessa [141]

Answer:

C = 87.92 mm

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Circumference Formula: C = πd

C is circumference
d is diameter

Step-by-step explanation:

Step 1: Define

Diameter d = 28 mm

Step 2: Solve

Substitute in variables [Circumference Formula]: C = 3.14(28 mm)
[Circumference] Multiply: C = 87.92 mm

8 0

3 years ago

A rectangular garden has a width of five times an unknown variable x plus two. The length is one more than three times the same

wolverine [178]

Answer: just saying I’m pretty sure it’s 36... don’t put it cause I’m not 100% sure it’s right?

Step-by-step explanation:

5 0

3 years ago

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