Answer:
1)m<ABH=121°
2)m<GDF=59°
3)X=35
4)m<ABC=59°
5)m<EDA=59°
Step-by-step explanation:
1. You want to find X, so since the two expressions are Alternate Interoir Angles they equal each other
5x-54=3x+16
5x-3x-54=3x-3x+16
2x-54=16
2x-54+54=16+54
2x=70
2x/2=70/2
X=35
2. Now plug in X to each equation to test if it works
5(35)-54=3(35)+16
175-54=105+16
121=121
3. Now replace the two expressions with 121
4. Let's begin with <ABH. Since <ABH is verticle to 3x+16 they equal each other.
5. <GDF is right next to 5x-54 and they're on the same line meaning they equal 180°. So 180-121=59, this is also the reasoning with <EDA with 5x-54 and <ABC with 3x+16
NOTE: THIS ONLY IS TRUE IF LINE HC AND LINE GE ARE PARALLEL.
Answer:
√2
Step-by-step explanation:
Angle ratio = 45 : 45 : 90
Ratio of side = 1 : 1 : √2
The concert director can choose the new members by holding try outs to take the the possible candidate’s skills, performance and professionalism into consideration to be a part of the large show. Another way is by voting amongst other people in their school to see who the audience would be excited to see preforming in the show.
Answer:
f(x) = 3x^2 - 12x - 36.
Step-by-step explanation:
f(x) =3 /2(x - 2)^2 - 24
f(x) = 3/2 (x^2 - 4x + 4) - 24
f(x) = 3/2 x^2 - 6x + 6 - 24
f(x) = 3/2 x^2 - 6x - 18
Multiply through by 2:
f(x) = 3x^2 - 12x - 36.
Answer:
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Step-by-step explanation:
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This step-by-step guide on expository writing includes expository essay ... Parents, does your student need assistance with writing an expository essay? ... of a subject based on facts—with no references to the writer's opinions or emotions. A typical expository writing prompt will use the words “explain” or “define,” such as in, ...
