All categories

3 years ago

If ABC and GEF are congruent by the ASA criterion, which pair of angles must be congruent

Mathematics

2 answers:

Aleks04 [339]3 years ago

4 0

The second one is true

liq [111]3 years ago

4 0

Answer with explanation:

It is given that,

ΔABC ≅ ΔG E F--------------[A S A]

→→When two triangles are congruent , corresponding angles as well as Corresponding Sides, are equal.

→≡Corresponding Sides

1. AB=GE

2. BC=E F

3. AC=G F

→≡Corresponding Angles

1. ∠A=∠G

2. ∠B=∠E

3. ∠C=∠F

Option C: →∠CAB=∠E G F

You might be interested in

2/5 m = ____ cm 5/6 year = _____ months ONLY IN FRACTION

kakasveta [241]

Step-by-step explanation:

5/6×12..1/5 x 100cm(1m)

i think so dont hate me

5 0

3 years ago

Sorry again I just dont know this.

natta225 [31]

Answer:

7 ; 2 ; 8

Step-by-step explanation:

money for raffle= 350 pounds

money for quiz=14 multiplied by 4= 56

56+44= 100

money for membership fees= 20 multiplied by 20= 400

Ratio

Raffle :Quiz: Membership fees

350 : 100 : 400

35 : 10 : 40 (divided by 10)

7 : 2 : 8 (divided by 5)

it can not be simplified further

4 0

3 years ago

Find the value of x so that the line passing through the points will have the given slope: (x,6) and (10,-3) with a slope of -3/

Lana71 [14]

$(x,6) \\
x_1=x \\
y_1=6 \\ \\
(10,-3) \\
x_2=10 \\ y_2=-3 \\ \\
\hbox{the slope: } m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-6}{10-x}=\frac{-9}{10-x} \\ \\
m=-\frac{3}{2} \\
\Downarrow \\
-\frac{3}{2}=\frac{-9}{10-x} \\
-\frac{3}{2}(10-x)=-9 \\
10-x=-9 \times (-\frac{2}{3}) \\
10-x=3 \times 2 \\
10-x=6 \\
-x=6-10 \\
-x=-4 \\
\boxed{x=4}$

6 0

3 years ago

Does anyone know how to do these maths question???

Dmitry_Shevchenko [17]

Answer:

Part 1) $f(g(x))=3(x^2)+2$

Part 2) $g(f(5))=289$

Step-by-step explanation:

we know that

A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function

we have

$f(x)=3x+2$

$g(x)=x^{2}$

Part 1) Determine f(g(x))

To find f(g(x)) substitute the function g(x) as the variable in function f(x)

$f(g(x))=3(x^2)+2$

Part 2) Determine g(f(x))

To find g(f(x)) substitute the function f(x) as the variable in function g(x)

$g(f(x))=(3x+2)^2$

For x=5

$g(f(5))=(3(5)+2)^2$

$g(f(5))=289$

3 0

3 years ago

Find the measure of each angle indicated. A) 95° C) 26° B) 92° D) 20°

riadik2000 [5.3K]

Answer:

D) 20°

Step-by-step explanation:

Using the triangle sum theorem, you know that every triangle's interior angles add up to 180°. Therefore the bottom triangle's missing angle can be found by giving it the variable x.

57° + 30° + x = 180°

Simplify: 87° + x =180°

x=93°

By the vertical angles theorem, the vertical angle directly across this angle is congruent to this one. Meaning that the top triangle's angle are 67°, 93°, and unknown, which we can assign y. We can use the same method from above here.

67° + 93° + y = 180°

Simplify: 160° + y = 180°

y=20°

6 0

3 years ago

Read 2 more answers